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

@@ -3,7 +3,7 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
 -/
-import Topology.Category.Top.Limits.Products
+import Topology.Category.TopCat.Limits.Products
 import CategoryTheory.ConcreteCategory.Elementwise
 
 #align_import topology.category.Top.limits.pullbacks from "leanprover-community/mathlib"@"6cf5900728239efa287df7761ec2a1ac9cf39b29"

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

@@ -3,8 +3,8 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
 -/
-import Mathbin.Topology.Category.Top.Limits.Products
-import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
+import Topology.Category.Top.Limits.Products
+import CategoryTheory.ConcreteCategory.Elementwise
 
 #align_import topology.category.Top.limits.pullbacks from "leanprover-community/mathlib"@"6cf5900728239efa287df7761ec2a1ac9cf39b29"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

@@ -171,7 +171,7 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     congr 1
     simp [pullback.condition]
   · intro h
-    use (pullback_iso_prod_subtype f g).inv ⟨⟨_, _⟩, h⟩
+    use(pullback_iso_prod_subtype f g).inv ⟨⟨_, _⟩, h⟩
     apply concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;> simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
@@ -209,7 +209,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
     simp only [← comp_apply, eq₁, eq₂]
     simp only [comp_apply, hx₁, hx₂]
     simp only [← comp_apply, pullback.condition]
-  use (pullback_iso_prod_subtype f₁ f₂).inv ⟨⟨x₁, x₂⟩, this⟩
+  use(pullback_iso_prod_subtype f₁ f₂).inv ⟨⟨x₁, x₂⟩, this⟩
   apply concrete.limit_ext
   rintro (_ | _ | _)
   · simp only [TopCat.comp_app, limit.lift_π_apply, category.assoc, pullback_cone.mk_π_app_one, hx₁,
@@ -229,10 +229,10 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
   ext x
   constructor
   · rintro ⟨y, rfl⟩
-    use (pullback.snd : pullback f g ⟶ _) y
+    use(pullback.snd : pullback f g ⟶ _) y
     exact concrete_category.congr_hom pullback.condition y
   · rintro ⟨y, eq⟩
-    use (TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
+    use(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
     simp
 #align Top.pullback_fst_range TopCat.pullback_fst_range
 -/
@@ -244,10 +244,10 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
   ext y
   constructor
   · rintro ⟨x, rfl⟩
-    use (pullback.fst : pullback f g ⟶ _) x
+    use(pullback.fst : pullback f g ⟶ _) x
     exact concrete_category.congr_hom pullback.condition x
   · rintro ⟨x, eq⟩
-    use (TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
+    use(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
     simp
 #align Top.pullback_snd_range TopCat.pullback_snd_range
 -/

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

@@ -2,15 +2,12 @@
 Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
-
-! This file was ported from Lean 3 source module topology.category.Top.limits.pullbacks
-! leanprover-community/mathlib commit 6cf5900728239efa287df7761ec2a1ac9cf39b29
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Category.Top.Limits.Products
 import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
 
+#align_import topology.category.Top.limits.pullbacks from "leanprover-community/mathlib"@"6cf5900728239efa287df7761ec2a1ac9cf39b29"
+
 /-!
 # Pullbacks in the category of topological spaces.
 

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

@@ -38,15 +38,19 @@ section Pullback
 
 variable {X Y Z : TopCat.{u}}
 
+#print TopCat.pullbackFst /-
 /-- The first projection from the pullback. -/
 abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ X :=
   ⟨Prod.fst ∘ Subtype.val⟩
 #align Top.pullback_fst TopCat.pullbackFst
+-/
 
+#print TopCat.pullbackSnd /-
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
   ⟨Prod.snd ∘ Subtype.val⟩
 #align Top.pullback_snd TopCat.pullbackSnd
+-/
 
 #print TopCat.pullbackCone /-
 /-- The explicit pullback cone of `X, Y` given by `{ p : X × Y // f p.1 = g p.2 }`. -/
@@ -76,37 +80,47 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
 #align Top.pullback_cone_is_limit TopCat.pullbackConeIsLimit
 -/
 
+#print TopCat.pullbackIsoProdSubtype /-
 /-- The pullback of two maps can be identified as a subspace of `X × Y`. -/
 def pullbackIsoProdSubtype (f : X ⟶ Z) (g : Y ⟶ Z) :
     pullback f g ≅ TopCat.of { p : X × Y // f p.1 = g p.2 } :=
   (limit.isLimit _).conePointUniqueUpToIso (pullbackConeIsLimit f g)
 #align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtype
+-/
 
+#print TopCat.pullbackIsoProdSubtype_inv_fst /-
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.fst = pullbackFst f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fst
+-/
 
+#print TopCat.pullbackIsoProdSubtype_inv_fst_apply /-
 @[simp]
 theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
     (pullback.fst : pullback f g ⟶ _) ((pullbackIsoProdSubtype f g).inv x) = (x : X × Y).fst :=
   ConcreteCategory.congr_hom (pullbackIsoProdSubtype_inv_fst f g) x
 #align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_apply
+-/
 
+#print TopCat.pullbackIsoProdSubtype_inv_snd /-
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.snd = pullbackSnd f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_snd
+-/
 
+#print TopCat.pullbackIsoProdSubtype_inv_snd_apply /-
 @[simp]
 theorem pullbackIsoProdSubtype_inv_snd_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
     (pullback.snd : pullback f g ⟶ _) ((pullbackIsoProdSubtype f g).inv x) = (x : X × Y).snd :=
   ConcreteCategory.congr_hom (pullbackIsoProdSubtype_inv_snd f g) x
 #align Top.pullback_iso_prod_subtype_inv_snd_apply TopCat.pullbackIsoProdSubtype_inv_snd_apply
+-/
 
 #print TopCat.pullbackIsoProdSubtype_hom_fst /-
 theorem pullbackIsoProdSubtype_hom_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -122,6 +136,7 @@ theorem pullbackIsoProdSubtype_hom_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_iso_prod_subtype_hom_snd TopCat.pullbackIsoProdSubtype_hom_snd
 -/
 
+#print TopCat.pullbackIsoProdSubtype_hom_apply /-
 @[simp]
 theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullback f g) :
     (pullbackIsoProdSubtype f g).Hom x =
@@ -132,7 +147,9 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullba
   exacts [concrete_category.congr_hom (pullback_iso_prod_subtype_hom_fst f g) x,
     concrete_category.congr_hom (pullback_iso_prod_subtype_hom_snd f g) x]
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
+-/
 
+#print TopCat.pullback_topology /-
 theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullback f g).TopologicalSpace =
       induced (pullback.fst : pullback f g ⟶ _) X.TopologicalSpace ⊓
@@ -143,7 +160,9 @@ theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
   change induced homeo (induced _ (_ ⊓ _)) = _
   simpa [induced_compose]
 #align Top.pullback_topology TopCat.pullback_topology
+-/
 
+#print TopCat.range_pullback_to_prod /-
 theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Set.range (prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) =
       {x | (Limits.prod.fst ≫ f) x = (Limits.prod.snd ≫ g) x} :=
@@ -159,17 +178,23 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     apply concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;> simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
+-/
 
+#print TopCat.inducing_pullback_to_prod /-
 theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨by simp [prod_topology, pullbackTopology, induced_compose, ← coe_comp]⟩
 #align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prod
+-/
 
+#print TopCat.embedding_pullback_to_prod /-
 theorem embedding_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Embedding ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨inducing_pullback_to_prod f g, (TopCat.mono_iff_injective _).mp inferInstance⟩
 #align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prod
+-/
 
+#print TopCat.range_pullback_map /-
 /-- If the map `S ⟶ T` is mono, then there is a description of the image of `W ×ₛ X ⟶ Y ×ₜ Z`. -/
 theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶ S) (g₁ : Y ⟶ T)
     (g₂ : Z ⟶ T) (i₁ : W ⟶ Y) (i₂ : X ⟶ Z) (i₃ : S ⟶ T) [H₃ : Mono i₃] (eq₁ : f₁ ≫ i₃ = i₁ ≫ g₁)
@@ -198,7 +223,9 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   · simp [hx₁]
   · simp [hx₂]
 #align Top.range_pullback_map TopCat.range_pullback_map
+-/
 
+#print TopCat.pullback_fst_range /-
 theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.fst : pullback f g ⟶ _) = {x : X | ∃ y : Y, f x = g y} :=
   by
@@ -211,7 +238,9 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     use (TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
     simp
 #align Top.pullback_fst_range TopCat.pullback_fst_range
+-/
 
+#print TopCat.pullback_snd_range /-
 theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.snd : pullback f g ⟶ _) = {y : Y | ∃ x : X, f x = g y} :=
   by
@@ -224,7 +253,9 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     use (TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨x, y⟩, Eq⟩
     simp
 #align Top.pullback_snd_range TopCat.pullback_snd_range
+-/
 
+#print TopCat.pullback_map_embedding_of_embeddings /-
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are embeddings,
 then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an embedding.
 
@@ -250,7 +281,9 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat} (f₁ : W 
   rw [coe_comp]
   refine' Embedding.comp (embedding_prod_map H₁ H₂) (embedding_pullback_to_prod _ _)
 #align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddings
+-/
 
+#print TopCat.pullback_map_openEmbedding_of_open_embeddings /-
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`
 is mono, then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an open embedding.
   W  ⟶  Y
@@ -273,7 +306,9 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
     continuity
     exacts [H₁.open_range, H₂.open_range]
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
+-/
 
+#print TopCat.snd_embedding_of_left_embedding /-
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
     Embedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -284,7 +319,9 @@ theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embe
   erw [← coe_comp]
   simp
 #align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embedding
+-/
 
+#print TopCat.fst_embedding_of_right_embedding /-
 theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : Embedding g) : Embedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -295,7 +332,9 @@ theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y 
   erw [← coe_comp]
   simp
 #align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embedding
+-/
 
+#print TopCat.embedding_of_pullback_embeddings /-
 theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S} (H₁ : Embedding f)
     (H₂ : Embedding g) : Embedding (limit.π (cospan f g) WalkingCospan.one) :=
   by
@@ -304,7 +343,9 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
   congr
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
+-/
 
+#print TopCat.snd_openEmbedding_of_left_openEmbedding /-
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
     (g : Y ⟶ S) : OpenEmbedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -315,7 +356,9 @@ theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (
   erw [← coe_comp]
   simp
 #align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbedding
+-/
 
+#print TopCat.fst_openEmbedding_of_right_openEmbedding /-
 theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : OpenEmbedding g) : OpenEmbedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -326,7 +369,9 @@ theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S)
   erw [← coe_comp]
   simp
 #align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbedding
+-/
 
+#print TopCat.openEmbedding_of_pullback_open_embeddings /-
 /-- If `X ⟶ S`, `Y ⟶ S` are open embeddings, then so is `X ×ₛ Y ⟶ S`. -/
 theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S}
     (H₁ : OpenEmbedding f) (H₂ : OpenEmbedding g) :
@@ -337,7 +382,9 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
   congr
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
+-/
 
+#print TopCat.fst_iso_of_right_embedding_range_subset /-
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (hg : Embedding g) (H : Set.range f ⊆ Set.range g) : IsIso (pullback.fst : pullback f g ⟶ X) :=
   by
@@ -352,7 +399,9 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
   ext
   rfl
 #align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subset
+-/
 
+#print TopCat.snd_iso_of_left_embedding_range_subset /-
 theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (hf : Embedding f)
     (g : Y ⟶ S) (H : Set.range g ⊆ Set.range f) : IsIso (pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -367,7 +416,9 @@ theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (h
   ext
   rfl
 #align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subset
+-/
 
+#print TopCat.pullback_snd_image_fst_preimage /-
 theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X) :
     (pullback.snd : pullback f g ⟶ _) '' ((pullback.fst : pullback f g ⟶ _) ⁻¹' U) =
       g ⁻¹' (f '' U) :=
@@ -380,7 +431,9 @@ theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X)
   · rintro ⟨y, hy, eq⟩
     exact ⟨(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, Eq⟩, by simpa, by simp⟩
 #align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimage
+-/
 
+#print TopCat.pullback_fst_image_snd_preimage /-
 theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y) :
     (pullback.fst : pullback f g ⟶ _) '' ((pullback.snd : pullback f g ⟶ _) ⁻¹' U) =
       f ⁻¹' (g '' U) :=
@@ -394,9 +447,11 @@ theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y)
   · rintro ⟨y, hy, eq⟩
     exact ⟨(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, Eq.symm⟩, by simpa, by simp⟩
 #align Top.pullback_fst_image_snd_preimage TopCat.pullback_fst_image_snd_preimage
+-/
 
 end Pullback
 
+#print TopCat.coinduced_of_isColimit /-
 theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc : IsColimit c) :
     c.pt.TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (c.ι.app j) :=
   by
@@ -405,19 +460,25 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc :
   refine' homeo.symm.is_open_preimage.symm.trans (Iff.trans _ is_open_supr_iff.symm)
   exact isOpen_iSup_iff
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
+-/
 
+#print TopCat.colimit_topology /-
 theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
     (colimit F).TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (colimit.ι F j) :=
   coinduced_of_isColimit _ (colimit.isColimit F)
 #align Top.colimit_topology TopCat.colimit_topology
+-/
 
+#print TopCat.colimit_isOpen_iff /-
 theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _) : Type max v u)) :
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) :=
   by
   conv_lhs => rw [colimit_topology F]
   exact isOpen_iSup_iff
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
+-/
 
+#print TopCat.coequalizer_isOpen_iff /-
 theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
     (U : Set ((colimit F : _) : Type u)) :
     IsOpen U ↔ IsOpen (colimit.ι F WalkingParallelPair.one ⁻¹' U) :=
@@ -431,6 +492,7 @@ theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
       exact (F.map walking_parallel_pair_hom.left).continuous_toFun.isOpen_preimage _ H
     · exact H
 #align Top.coequalizer_is_open_iff TopCat.coequalizer_isOpen_iff
+-/
 
 end TopCat
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -341,7 +341,7 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (hg : Embedding g) (H : Set.range f ⊆ Set.range g) : IsIso (pullback.fst : pullback f g ⟶ X) :=
   by
-  let this : (pullback f g : TopCat) ≃ₜ X :=
+  let this.1 : (pullback f g : TopCat) ≃ₜ X :=
     (Homeomorph.ofEmbedding _ (fst_embedding_of_right_embedding f hg)).trans
       { toFun := coe
         invFun := fun x =>
@@ -356,7 +356,7 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
 theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (hf : Embedding f)
     (g : Y ⟶ S) (H : Set.range g ⊆ Set.range f) : IsIso (pullback.snd : pullback f g ⟶ Y) :=
   by
-  let this : (pullback f g : TopCat) ≃ₜ Y :=
+  let this.1 : (pullback f g : TopCat) ≃ₜ Y :=
     (Homeomorph.ofEmbedding _ (snd_embedding_of_left_embedding hf g)).trans
       { toFun := coe
         invFun := fun x =>

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -146,7 +146,7 @@ theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
 
 theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Set.range (prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) =
-      { x | (Limits.prod.fst ≫ f) x = (Limits.prod.snd ≫ g) x } :=
+      {x | (Limits.prod.fst ≫ f) x = (Limits.prod.snd ≫ g) x} :=
   by
   ext x
   constructor
@@ -200,7 +200,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
 #align Top.range_pullback_map TopCat.range_pullback_map
 
 theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
-    Set.range (pullback.fst : pullback f g ⟶ _) = { x : X | ∃ y : Y, f x = g y } :=
+    Set.range (pullback.fst : pullback f g ⟶ _) = {x : X | ∃ y : Y, f x = g y} :=
   by
   ext x
   constructor
@@ -213,7 +213,7 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
 #align Top.pullback_fst_range TopCat.pullback_fst_range
 
 theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
-    Set.range (pullback.snd : pullback f g ⟶ _) = { y : Y | ∃ x : X, f x = g y } :=
+    Set.range (pullback.snd : pullback f g ⟶ _) = {y : Y | ∃ x : X, f x = g y} :=
   by
   ext y
   constructor
@@ -277,7 +277,8 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
     Embedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
-  convert(homeo_of_iso (as_iso (pullback.snd : pullback (𝟙 S) g ⟶ _))).Embedding.comp
+  convert
+    (homeo_of_iso (as_iso (pullback.snd : pullback (𝟙 S) g ⟶ _))).Embedding.comp
       (pullback_map_embedding_of_embeddings f g (𝟙 _) g H (homeo_of_iso (iso.refl _)).Embedding
         (𝟙 _) rfl (by simp))
   erw [← coe_comp]
@@ -287,7 +288,8 @@ theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embe
 theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : Embedding g) : Embedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
-  convert(homeo_of_iso (as_iso (pullback.fst : pullback f (𝟙 S) ⟶ _))).Embedding.comp
+  convert
+    (homeo_of_iso (as_iso (pullback.fst : pullback f (𝟙 S) ⟶ _))).Embedding.comp
       (pullback_map_embedding_of_embeddings f g f (𝟙 _) (homeo_of_iso (iso.refl _)).Embedding H
         (𝟙 _) rfl (by simp))
   erw [← coe_comp]
@@ -306,7 +308,8 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
     (g : Y ⟶ S) : OpenEmbedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
-  convert(homeo_of_iso (as_iso (pullback.snd : pullback (𝟙 S) g ⟶ _))).OpenEmbedding.comp
+  convert
+    (homeo_of_iso (as_iso (pullback.snd : pullback (𝟙 S) g ⟶ _))).OpenEmbedding.comp
       (pullback_map_open_embedding_of_open_embeddings f g (𝟙 _) g H
         (homeo_of_iso (iso.refl _)).OpenEmbedding (𝟙 _) rfl (by simp))
   erw [← coe_comp]
@@ -316,7 +319,8 @@ theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (
 theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : OpenEmbedding g) : OpenEmbedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
-  convert(homeo_of_iso (as_iso (pullback.fst : pullback f (𝟙 S) ⟶ _))).OpenEmbedding.comp
+  convert
+    (homeo_of_iso (as_iso (pullback.fst : pullback f (𝟙 S) ⟶ _))).OpenEmbedding.comp
       (pullback_map_open_embedding_of_open_embeddings f g f (𝟙 _)
         (homeo_of_iso (iso.refl _)).OpenEmbedding H (𝟙 _) rfl (by simp))
   erw [← coe_comp]

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

@@ -129,7 +129,7 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullba
         simpa using concrete_category.congr_hom pullback.condition x⟩ :=
   by
   ext
-  exacts[concrete_category.congr_hom (pullback_iso_prod_subtype_hom_fst f g) x,
+  exacts [concrete_category.congr_hom (pullback_iso_prod_subtype_hom_fst f g) x,
     concrete_category.congr_hom (pullback_iso_prod_subtype_hom_snd f g) x]
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
 
@@ -271,7 +271,7 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
   · rw [range_pullback_map]
     apply IsOpen.inter <;> apply Continuous.isOpen_preimage
     continuity
-    exacts[H₁.open_range, H₂.open_range]
+    exacts [H₁.open_range, H₂.open_range]
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :

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

@@ -38,17 +38,11 @@ section Pullback
 
 variable {X Y Z : TopCat.{u}}
 
-/- warning: Top.pullback_fst -> TopCat.pullbackFst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_fst TopCat.pullbackFstₓ'. -/
 /-- The first projection from the pullback. -/
 abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ X :=
   ⟨Prod.fst ∘ Subtype.val⟩
 #align Top.pullback_fst TopCat.pullbackFst
 
-/- warning: Top.pullback_snd -> TopCat.pullbackSnd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_snd TopCat.pullbackSndₓ'. -/
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
   ⟨Prod.snd ∘ Subtype.val⟩
@@ -82,27 +76,18 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
 #align Top.pullback_cone_is_limit TopCat.pullbackConeIsLimit
 -/
 
-/- warning: Top.pullback_iso_prod_subtype -> TopCat.pullbackIsoProdSubtype is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtypeₓ'. -/
 /-- The pullback of two maps can be identified as a subspace of `X × Y`. -/
 def pullbackIsoProdSubtype (f : X ⟶ Z) (g : Y ⟶ Z) :
     pullback f g ≅ TopCat.of { p : X × Y // f p.1 = g p.2 } :=
   (limit.isLimit _).conePointUniqueUpToIso (pullbackConeIsLimit f g)
 #align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtype
 
-/- warning: Top.pullback_iso_prod_subtype_inv_fst -> TopCat.pullbackIsoProdSubtype_inv_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fstₓ'. -/
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.fst = pullbackFst f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fst
 
-/- warning: Top.pullback_iso_prod_subtype_inv_fst_apply -> TopCat.pullbackIsoProdSubtype_inv_fst_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
@@ -110,18 +95,12 @@ theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
   ConcreteCategory.congr_hom (pullbackIsoProdSubtype_inv_fst f g) x
 #align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_apply
 
-/- warning: Top.pullback_iso_prod_subtype_inv_snd -> TopCat.pullbackIsoProdSubtype_inv_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_sndₓ'. -/
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.snd = pullbackSnd f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_snd
 
-/- warning: Top.pullback_iso_prod_subtype_inv_snd_apply -> TopCat.pullbackIsoProdSubtype_inv_snd_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd_apply TopCat.pullbackIsoProdSubtype_inv_snd_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_snd_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
@@ -143,9 +122,6 @@ theorem pullbackIsoProdSubtype_hom_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_iso_prod_subtype_hom_snd TopCat.pullbackIsoProdSubtype_hom_snd
 -/
 
-/- warning: Top.pullback_iso_prod_subtype_hom_apply -> TopCat.pullbackIsoProdSubtype_hom_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullback f g) :
     (pullbackIsoProdSubtype f g).Hom x =
@@ -157,9 +133,6 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullba
     concrete_category.congr_hom (pullback_iso_prod_subtype_hom_snd f g) x]
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
 
-/- warning: Top.pullback_topology -> TopCat.pullback_topology is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_topology TopCat.pullback_topologyₓ'. -/
 theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullback f g).TopologicalSpace =
       induced (pullback.fst : pullback f g ⟶ _) X.TopologicalSpace ⊓
@@ -171,9 +144,6 @@ theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
   simpa [induced_compose]
 #align Top.pullback_topology TopCat.pullback_topology
 
-/- warning: Top.range_pullback_to_prod -> TopCat.range_pullback_to_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.range_pullback_to_prod TopCat.range_pullback_to_prodₓ'. -/
 theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Set.range (prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) =
       { x | (Limits.prod.fst ≫ f) x = (Limits.prod.snd ≫ g) x } :=
@@ -190,25 +160,16 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     rintro ⟨⟨⟩⟩ <;> simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
-/- warning: Top.inducing_pullback_to_prod -> TopCat.inducing_pullback_to_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prodₓ'. -/
 theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨by simp [prod_topology, pullbackTopology, induced_compose, ← coe_comp]⟩
 #align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prod
 
-/- warning: Top.embedding_pullback_to_prod -> TopCat.embedding_pullback_to_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prodₓ'. -/
 theorem embedding_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Embedding ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨inducing_pullback_to_prod f g, (TopCat.mono_iff_injective _).mp inferInstance⟩
 #align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prod
 
-/- warning: Top.range_pullback_map -> TopCat.range_pullback_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.range_pullback_map TopCat.range_pullback_mapₓ'. -/
 /-- If the map `S ⟶ T` is mono, then there is a description of the image of `W ×ₛ X ⟶ Y ×ₜ Z`. -/
 theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶ S) (g₁ : Y ⟶ T)
     (g₂ : Z ⟶ T) (i₁ : W ⟶ Y) (i₂ : X ⟶ Z) (i₃ : S ⟶ T) [H₃ : Mono i₃] (eq₁ : f₁ ≫ i₃ = i₁ ≫ g₁)
@@ -238,9 +199,6 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   · simp [hx₂]
 #align Top.range_pullback_map TopCat.range_pullback_map
 
-/- warning: Top.pullback_fst_range -> TopCat.pullback_fst_range is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_range TopCat.pullback_fst_rangeₓ'. -/
 theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.fst : pullback f g ⟶ _) = { x : X | ∃ y : Y, f x = g y } :=
   by
@@ -254,9 +212,6 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     simp
 #align Top.pullback_fst_range TopCat.pullback_fst_range
 
-/- warning: Top.pullback_snd_range -> TopCat.pullback_snd_range is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_range TopCat.pullback_snd_rangeₓ'. -/
 theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.snd : pullback f g ⟶ _) = { y : Y | ∃ x : X, f x = g y } :=
   by
@@ -270,9 +225,6 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     simp
 #align Top.pullback_snd_range TopCat.pullback_snd_range
 
-/- warning: Top.pullback_map_embedding_of_embeddings -> TopCat.pullback_map_embedding_of_embeddings is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are embeddings,
 then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an embedding.
 
@@ -299,9 +251,6 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat} (f₁ : W 
   refine' Embedding.comp (embedding_prod_map H₁ H₂) (embedding_pullback_to_prod _ _)
 #align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddings
 
-/- warning: Top.pullback_map_open_embedding_of_open_embeddings -> TopCat.pullback_map_openEmbedding_of_open_embeddings is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`
 is mono, then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an open embedding.
   W  ⟶  Y
@@ -325,9 +274,6 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
     exacts[H₁.open_range, H₂.open_range]
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
-/- warning: Top.snd_embedding_of_left_embedding -> TopCat.snd_embedding_of_left_embedding is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embeddingₓ'. -/
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
     Embedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -338,9 +284,6 @@ theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embe
   simp
 #align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embedding
 
-/- warning: Top.fst_embedding_of_right_embedding -> TopCat.fst_embedding_of_right_embedding is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embeddingₓ'. -/
 theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : Embedding g) : Embedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -351,9 +294,6 @@ theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y 
   simp
 #align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embedding
 
-/- warning: Top.embedding_of_pullback_embeddings -> TopCat.embedding_of_pullback_embeddings is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddingsₓ'. -/
 theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S} (H₁ : Embedding f)
     (H₂ : Embedding g) : Embedding (limit.π (cospan f g) WalkingCospan.one) :=
   by
@@ -363,9 +303,6 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
 
-/- warning: Top.snd_open_embedding_of_left_open_embedding -> TopCat.snd_openEmbedding_of_left_openEmbedding is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbeddingₓ'. -/
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
     (g : Y ⟶ S) : OpenEmbedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -376,9 +313,6 @@ theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (
   simp
 #align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbedding
 
-/- warning: Top.fst_open_embedding_of_right_open_embedding -> TopCat.fst_openEmbedding_of_right_openEmbedding is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbeddingₓ'. -/
 theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : OpenEmbedding g) : OpenEmbedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -389,9 +323,6 @@ theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S)
   simp
 #align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbedding
 
-/- warning: Top.open_embedding_of_pullback_open_embeddings -> TopCat.openEmbedding_of_pullback_open_embeddings is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddingsₓ'. -/
 /-- If `X ⟶ S`, `Y ⟶ S` are open embeddings, then so is `X ×ₛ Y ⟶ S`. -/
 theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S}
     (H₁ : OpenEmbedding f) (H₂ : OpenEmbedding g) :
@@ -403,9 +334,6 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
 
-/- warning: Top.fst_iso_of_right_embedding_range_subset -> TopCat.fst_iso_of_right_embedding_range_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subsetₓ'. -/
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (hg : Embedding g) (H : Set.range f ⊆ Set.range g) : IsIso (pullback.fst : pullback f g ⟶ X) :=
   by
@@ -421,9 +349,6 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
   rfl
 #align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subset
 
-/- warning: Top.snd_iso_of_left_embedding_range_subset -> TopCat.snd_iso_of_left_embedding_range_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subsetₓ'. -/
 theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (hf : Embedding f)
     (g : Y ⟶ S) (H : Set.range g ⊆ Set.range f) : IsIso (pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -439,9 +364,6 @@ theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (h
   rfl
 #align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subset
 
-/- warning: Top.pullback_snd_image_fst_preimage -> TopCat.pullback_snd_image_fst_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimageₓ'. -/
 theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X) :
     (pullback.snd : pullback f g ⟶ _) '' ((pullback.fst : pullback f g ⟶ _) ⁻¹' U) =
       g ⁻¹' (f '' U) :=
@@ -455,9 +377,6 @@ theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X)
     exact ⟨(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, Eq⟩, by simpa, by simp⟩
 #align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimage
 
-/- warning: Top.pullback_fst_image_snd_preimage -> TopCat.pullback_fst_image_snd_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_image_snd_preimage TopCat.pullback_fst_image_snd_preimageₓ'. -/
 theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y) :
     (pullback.fst : pullback f g ⟶ _) '' ((pullback.snd : pullback f g ⟶ _) ⁻¹' U) =
       f ⁻¹' (g '' U) :=
@@ -474,9 +393,6 @@ theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y)
 
 end Pullback
 
-/- warning: Top.coinduced_of_is_colimit -> TopCat.coinduced_of_isColimit is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimitₓ'. -/
 theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc : IsColimit c) :
     c.pt.TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (c.ι.app j) :=
   by
@@ -486,17 +402,11 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc :
   exact isOpen_iSup_iff
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
 
-/- warning: Top.colimit_topology -> TopCat.colimit_topology is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.colimit_topology TopCat.colimit_topologyₓ'. -/
 theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
     (colimit F).TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (colimit.ι F j) :=
   coinduced_of_isColimit _ (colimit.isColimit F)
 #align Top.colimit_topology TopCat.colimit_topology
 
-/- warning: Top.colimit_is_open_iff -> TopCat.colimit_isOpen_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.colimit_is_open_iff TopCat.colimit_isOpen_iffₓ'. -/
 theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _) : Type max v u)) :
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) :=
   by
@@ -504,9 +414,6 @@ theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _
   exact isOpen_iSup_iff
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
 
-/- warning: Top.coequalizer_is_open_iff -> TopCat.coequalizer_isOpen_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.coequalizer_is_open_iff TopCat.coequalizer_isOpen_iffₓ'. -/
 theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
     (U : Set ((colimit F : _) : Type u)) :
     IsOpen U ↔ IsOpen (colimit.ι F WalkingParallelPair.one ⁻¹' U) :=

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

@@ -57,10 +57,7 @@ abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1
 #print TopCat.pullbackCone /-
 /-- The explicit pullback cone of `X, Y` given by `{ p : X × Y // f p.1 = g p.2 }`. -/
 def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
-  PullbackCone.mk (pullbackFst f g) (pullbackSnd f g)
-    (by
-      ext ⟨x, h⟩
-      simp [h])
+  PullbackCone.mk (pullbackFst f g) (pullbackSnd f g) (by ext ⟨x, h⟩; simp [h])
 #align Top.pullback_cone TopCat.pullbackCone
 -/
 
@@ -76,12 +73,8 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
           toFun := fun x =>
             ⟨⟨s.fst x, s.snd x⟩, by simpa using concrete_category.congr_hom s.condition x⟩ }
       refine' ⟨_, _, _⟩
-      · ext
-        delta pullback_cone
-        simp
-      · ext
-        delta pullback_cone
-        simp
+      · ext; delta pullback_cone; simp
+      · ext; delta pullback_cone; simp
       · intro m h₁ h₂
         ext x
         · simpa using concrete_category.congr_hom h₁ x
@@ -226,8 +219,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   by
   ext
   constructor
-  · rintro ⟨y, rfl⟩
-    simp
+  · rintro ⟨y, rfl⟩; simp
   rintro ⟨⟨x₁, hx₁⟩, ⟨x₂, hx₂⟩⟩
   have : f₁ x₁ = f₂ x₂ := by
     apply (TopCat.mono_iff_injective _).mp H₃
@@ -421,9 +413,7 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
     (Homeomorph.ofEmbedding _ (fst_embedding_of_right_embedding f hg)).trans
       { toFun := coe
         invFun := fun x =>
-          ⟨x, by
-            rw [pullback_fst_range]
-            exact ⟨_, (H (Set.mem_range_self x)).choose_spec.symm⟩⟩
+          ⟨x, by rw [pullback_fst_range]; exact ⟨_, (H (Set.mem_range_self x)).choose_spec.symm⟩⟩
         left_inv := fun ⟨_, _⟩ => rfl
         right_inv := fun x => rfl }
   convert is_iso.of_iso (iso_of_homeo this)
@@ -441,9 +431,7 @@ theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (h
     (Homeomorph.ofEmbedding _ (snd_embedding_of_left_embedding hf g)).trans
       { toFun := coe
         invFun := fun x =>
-          ⟨x, by
-            rw [pullback_snd_range]
-            exact ⟨_, (H (Set.mem_range_self x)).choose_spec⟩⟩
+          ⟨x, by rw [pullback_snd_range]; exact ⟨_, (H (Set.mem_range_self x)).choose_spec⟩⟩
         left_inv := fun ⟨_, _⟩ => rfl
         right_inv := fun x => rfl }
   convert is_iso.of_iso (iso_of_homeo this)
@@ -525,8 +513,7 @@ theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
   by
   rw [colimit_isOpen_iff.{u}]
   constructor
-  · intro H
-    exact H _
+  · intro H; exact H _
   · intro H j
     cases j
     · rw [← colimit.w F walking_parallel_pair_hom.left]

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

@@ -39,10 +39,7 @@ section Pullback
 variable {X Y Z : TopCat.{u}}
 
 /- warning: Top.pullback_fst -> TopCat.pullbackFst is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_fst TopCat.pullbackFstₓ'. -/
 /-- The first projection from the pullback. -/
 abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ X :=
@@ -50,10 +47,7 @@ abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1
 #align Top.pullback_fst TopCat.pullbackFst
 
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_snd TopCat.pullbackSndₓ'. -/
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
@@ -96,10 +90,7 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
 -/
 
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtypeₓ'. -/
 /-- The pullback of two maps can be identified as a subspace of `X × Y`. -/
 def pullbackIsoProdSubtype (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -108,10 +99,7 @@ def pullbackIsoProdSubtype (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtype
 
 /- warning: Top.pullback_iso_prod_subtype_inv_fst -> TopCat.pullbackIsoProdSubtype_inv_fst is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fstₓ'. -/
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -120,10 +108,7 @@ theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fst
 
 /- warning: Top.pullback_iso_prod_subtype_inv_fst_apply -> TopCat.pullbackIsoProdSubtype_inv_fst_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
@@ -133,10 +118,7 @@ theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
 #align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_apply
 
 /- warning: Top.pullback_iso_prod_subtype_inv_snd -> TopCat.pullbackIsoProdSubtype_inv_snd is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_sndₓ'. -/
 @[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -145,10 +127,7 @@ theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_snd
 
 /- warning: Top.pullback_iso_prod_subtype_inv_snd_apply -> TopCat.pullbackIsoProdSubtype_inv_snd_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd_apply TopCat.pullbackIsoProdSubtype_inv_snd_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_snd_apply (f : X ⟶ Z) (g : Y ⟶ Z)
@@ -172,10 +151,7 @@ theorem pullbackIsoProdSubtype_hom_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
 -/
 
 /- warning: Top.pullback_iso_prod_subtype_hom_apply -> TopCat.pullbackIsoProdSubtype_hom_apply is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullback f g) :
@@ -189,10 +165,7 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullba
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
 
 /- warning: Top.pullback_topology -> TopCat.pullback_topology is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_topology TopCat.pullback_topologyₓ'. -/
 theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullback f g).TopologicalSpace =
@@ -206,10 +179,7 @@ theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.pullback_topology TopCat.pullback_topology
 
 /- warning: Top.range_pullback_to_prod -> TopCat.range_pullback_to_prod is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.range_pullback_to_prod TopCat.range_pullback_to_prodₓ'. -/
 theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Set.range (prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) =
@@ -228,10 +198,7 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
 /- warning: Top.inducing_pullback_to_prod -> TopCat.inducing_pullback_to_prod is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prodₓ'. -/
 theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
@@ -239,10 +206,7 @@ theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
 #align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prod
 
 /- warning: Top.embedding_pullback_to_prod -> TopCat.embedding_pullback_to_prod is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prodₓ'. -/
 theorem embedding_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Embedding ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
@@ -250,10 +214,7 @@ theorem embedding_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z)
 #align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prod
 
 /- warning: Top.range_pullback_map -> TopCat.range_pullback_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.range_pullback_map TopCat.range_pullback_mapₓ'. -/
 /-- If the map `S ⟶ T` is mono, then there is a description of the image of `W ×ₛ X ⟶ Y ×ₜ Z`. -/
 theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶ S) (g₁ : Y ⟶ T)
@@ -286,10 +247,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
 #align Top.range_pullback_map TopCat.range_pullback_map
 
 /- warning: Top.pullback_fst_range -> TopCat.pullback_fst_range is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_range TopCat.pullback_fst_rangeₓ'. -/
 theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.fst : pullback f g ⟶ _) = { x : X | ∃ y : Y, f x = g y } :=
@@ -305,10 +263,7 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
 #align Top.pullback_fst_range TopCat.pullback_fst_range
 
 /- warning: Top.pullback_snd_range -> TopCat.pullback_snd_range is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_range TopCat.pullback_snd_rangeₓ'. -/
 theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.snd : pullback f g ⟶ _) = { y : Y | ∃ x : X, f x = g y } :=
@@ -324,10 +279,7 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
 #align Top.pullback_snd_range TopCat.pullback_snd_range
 
 /- warning: Top.pullback_map_embedding_of_embeddings -> TopCat.pullback_map_embedding_of_embeddings is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are embeddings,
 then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an embedding.
@@ -356,10 +308,7 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat} (f₁ : W 
 #align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddings
 
 /- warning: Top.pullback_map_open_embedding_of_open_embeddings -> TopCat.pullback_map_openEmbedding_of_open_embeddings is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`
 is mono, then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an open embedding.
@@ -385,10 +334,7 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
 /- warning: Top.snd_embedding_of_left_embedding -> TopCat.snd_embedding_of_left_embedding is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embeddingₓ'. -/
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
     Embedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
@@ -401,10 +347,7 @@ theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embe
 #align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embedding
 
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X Y S f g)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embeddingₓ'. -/
 theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : Embedding g) : Embedding ⇑(pullback.fst : pullback f g ⟶ X) :=
@@ -417,10 +360,7 @@ theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y 
 #align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embedding
 
 /- warning: Top.embedding_of_pullback_embeddings -> TopCat.embedding_of_pullback_embeddings is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddingsₓ'. -/
 theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S} (H₁ : Embedding f)
     (H₂ : Embedding g) : Embedding (limit.π (cospan f g) WalkingCospan.one) :=
@@ -432,10 +372,7 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
 
 /- warning: Top.snd_open_embedding_of_left_open_embedding -> TopCat.snd_openEmbedding_of_left_openEmbedding is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbeddingₓ'. -/
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
     (g : Y ⟶ S) : OpenEmbedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
@@ -448,10 +385,7 @@ theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (
 #align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbedding
 
 /- warning: Top.fst_open_embedding_of_right_open_embedding -> TopCat.fst_openEmbedding_of_right_openEmbedding is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbeddingₓ'. -/
 theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : OpenEmbedding g) : OpenEmbedding ⇑(pullback.fst : pullback f g ⟶ X) :=
@@ -464,10 +398,7 @@ theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S)
 #align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbedding
 
 /- warning: Top.open_embedding_of_pullback_open_embeddings -> TopCat.openEmbedding_of_pullback_open_embeddings is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddingsₓ'. -/
 /-- If `X ⟶ S`, `Y ⟶ S` are open embeddings, then so is `X ×ₛ Y ⟶ S`. -/
 theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S}
@@ -481,10 +412,7 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
 
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 Case conversion may be inaccurate. Consider using '#align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subsetₓ'. -/
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (hg : Embedding g) (H : Set.range f ⊆ Set.range g) : IsIso (pullback.fst : pullback f g ⟶ X) :=
@@ -504,10 +432,7 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
 #align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subset
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subsetₓ'. -/
 theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (hf : Embedding f)
     (g : Y ⟶ S) (H : Set.range g ⊆ Set.range f) : IsIso (pullback.snd : pullback f g ⟶ Y) :=
@@ -527,10 +452,7 @@ theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (h
 #align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subset
 
 /- warning: Top.pullback_snd_image_fst_preimage -> TopCat.pullback_snd_image_fst_preimage is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimageₓ'. -/
 theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X) :
     (pullback.snd : pullback f g ⟶ _) '' ((pullback.fst : pullback f g ⟶ _) ⁻¹' U) =
@@ -546,10 +468,7 @@ theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X)
 #align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimage
 
 /- warning: Top.pullback_fst_image_snd_preimage -> TopCat.pullback_fst_image_snd_preimage is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_image_snd_preimage TopCat.pullback_fst_image_snd_preimageₓ'. -/
 theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y) :
     (pullback.fst : pullback f g ⟶ _) '' ((pullback.snd : pullback f g ⟶ _) ⁻¹' U) =
@@ -568,10 +487,7 @@ theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y)
 end Pullback
 
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 Case conversion may be inaccurate. Consider using '#align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimitₓ'. -/
 theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc : IsColimit c) :
     c.pt.TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (c.ι.app j) :=
@@ -583,10 +499,7 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc :
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
 
 /- warning: Top.colimit_topology -> TopCat.colimit_topology is a dubious translation:
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(CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, max u2 u1} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} TopCat.concreteCategory.{max u2 u1})) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, 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u1})) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (CompleteLattice.toConditionallyCompleteLattice.{max u2 u1} (TopologicalSpace.{max u2 u1} (Prefunctor.obj.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1})) Type.{max u2 u1} 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instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (TopologicalSpace.instCompleteLatticeTopologicalSpace.{max u2 u1} (Prefunctor.obj.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1})) Type.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, max u2 u1} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} TopCat.concreteCategory.{max u2 u1})) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))))) J (fun (j : J) => TopologicalSpace.coinduced.{max u2 u1, max u2 u1} (Prefunctor.obj.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1})) 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instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j)) (Prefunctor.obj.{succ (max u2 u1), succ (max u2 u1), succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1})) Type.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, 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(CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, max u2 u1} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} TopCat.concreteCategory.{max u2 u1})) (Prefunctor.obj.{succ u1, succ (max u2 u1), u1, max (succ u2) (succ u1)} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) TopCatMax.{u1, u2} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)) (CategoryTheory.Limits.colimit.ι.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F) j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u1 u2} (Prefunctor.obj.{succ u1, max (succ u2) (succ u1), u1, max (succ u2) (succ u1)} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) TopCatMax.{u1, u2} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.colimit_topology TopCat.colimit_topologyₓ'. -/
 theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
     (colimit F).TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (colimit.ι F j) :=
@@ -594,10 +507,7 @@ theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
 #align Top.colimit_topology TopCat.colimit_topology
 
 /- warning: Top.colimit_is_open_iff -> TopCat.colimit_isOpen_iff is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Top.colimit_is_open_iff TopCat.colimit_isOpen_iffₓ'. -/
 theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _) : Type max v u)) :
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) :=
@@ -607,10 +517,7 @@ theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
 
 /- warning: Top.coequalizer_is_open_iff -> TopCat.coequalizer_isOpen_iff is a dubious translation:
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(CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F)) (CategoryTheory.Limits.colimit.ι.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F) CategoryTheory.Limits.WalkingParallelPair.one)) U))
+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.coequalizer_is_open_iff TopCat.coequalizer_isOpen_iffₓ'. -/
 theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
     (U : Set ((colimit F : _) : Type u)) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -113,7 +113,7 @@ lean 3 declaration is
 but is expected to have type
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u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y Z g (Prod.snd.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) p)))) (instTopologicalSpaceSubtype.{u1} (Prod.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y)) (fun (p : Prod.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y)) => Eq.{succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Z) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Z f (Prod.fst.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) p)) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y Z g (Prod.snd.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) p))) (instTopologicalSpaceProd.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} X) (TopCat.topologicalSpace_coe.{u1} Y)))) (TopCat.pullbackIsoProdSubtype.{u1} X Y Z f g)) (CategoryTheory.Limits.pullback.fst.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y Z f g (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) TopCat.topCat_hasLimits.{u1})) (CategoryTheory.Limits.cospan.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y Z f g)))) (TopCat.pullbackFst.{u1} X Y Z f g)
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fstₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.fst = pullbackFst f g := by
   simpa [pullback_iso_prod_subtype]
@@ -138,7 +138,7 @@ lean 3 declaration is
 but is expected to have type
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X Y Z f g)
 Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_sndₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.snd = pullbackSnd f g := by
   simpa [pullback_iso_prod_subtype]

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

@@ -235,7 +235,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prodₓ'. -/
 theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
-  ⟨by simp [prod_topology, pullback_topology, induced_compose, ← coe_comp]⟩
+  ⟨by simp [prod_topology, pullbackTopology, induced_compose, ← coe_comp]⟩
 #align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prod
 
 /- warning: Top.embedding_pullback_to_prod -> TopCat.embedding_pullback_to_prod is a dubious translation:

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

@@ -569,9 +569,9 @@ end Pullback
 
 /- warning: Top.coinduced_of_is_colimit -> TopCat.coinduced_of_isColimit is a dubious translation:
 lean 3 declaration is
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Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) -> (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j))) (ContinuousMap.hasCoeToFun.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j))) (CategoryTheory.NatTrans.app.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) (CategoryTheory.Limits.Cocone.ι.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c) j)) (TopCat.topologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)))))
+  forall {J : Type.{u2}} [_inst_1 : CategoryTheory.SmallCategory.{u2} J] {F : CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}} (c : CategoryTheory.Limits.Cocone.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F), (CategoryTheory.Limits.IsColimit.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c) -> (Eq.{succ (max u2 u1)} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c))) (TopCat.topologicalSpace.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) (iSup.{max u2 u1, succ u2} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c))) (ConditionallyCompleteLattice.toHasSup.{max u2 u1} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c))) (CompleteLattice.toConditionallyCompleteLattice.{max u2 u1} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c))) (TopologicalSpace.completeLattice.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c))))) J (fun (j : J) => TopologicalSpace.coinduced.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (Quiver.Hom.{succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1})) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j)) (fun (_x : ContinuousMap.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j))) => (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) -> (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j))) (ContinuousMap.hasCoeToFun.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.obj.{max u2 u1, max u2 u1, succ (max u2 u1), max u2 (max u2 u1) u2 (succ (max u2 u1))} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} (CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}) (CategoryTheory.Limits.Cocone.pt.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F c)) j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} 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(max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)))))
 but is expected to have type
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u1, max (max u1 (succ u2) (succ u1)) u2 u1} (CategoryTheory.Functor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1}) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (max u1 (succ u2) (succ u1)) u2 u1} (CategoryTheory.Functor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1}))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max (succ u2) (succ u1), max (max u1 (succ u2) (succ u1)) u2 u1} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} (CategoryTheory.Functor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1}) (CategoryTheory.Functor.category.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} 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+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] {F : CategoryTheory.Functor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1}} (c : CategoryTheory.Limits.Cocone.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F), (CategoryTheory.Limits.IsColimit.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F c) -> (Eq.{max (succ u2) (succ u1)} (TopologicalSpace.{max u1 u2} (CategoryTheory.Bundled.α.{max u2 u1, max u2 u1} TopologicalSpace.{max u1 u2} (CategoryTheory.Limits.Cocone.pt.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F c))) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u1 u2} (CategoryTheory.Limits.Cocone.pt.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} 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u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j)))))
 Case conversion may be inaccurate. Consider using '#align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimitₓ'. -/
 theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc : IsColimit c) :
     c.pt.TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (c.ι.app j) :=
@@ -579,14 +579,14 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc :
   let homeo := homeo_of_iso (hc.cocone_point_unique_up_to_iso (colimit_cocone_is_colimit F))
   ext
   refine' homeo.symm.is_open_preimage.symm.trans (Iff.trans _ is_open_supr_iff.symm)
-  exact isOpen_supᵢ_iff
+  exact isOpen_iSup_iff
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
 
 /- warning: Top.colimit_topology -> TopCat.colimit_topology is a dubious translation:
 lean 3 declaration is
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(CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (ContinuousMap.hasCoeToFun.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F))) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (CategoryTheory.Limits.colimit.ι.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F) j)) (TopCat.topologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j))))
+  forall {J : Type.{u2}} [_inst_1 : CategoryTheory.SmallCategory.{u2} J] (F : CategoryTheory.Functor.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1}), Eq.{succ (max u2 u1)} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (TopCat.topologicalSpace.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F))) (iSup.{max u2 u1, succ u2} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (ConditionallyCompleteLattice.toHasSup.{max u2 u1} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (CompleteLattice.toConditionallyCompleteLattice.{max u2 u1} (TopologicalSpace.{max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} 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(CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))))) J (fun (j : J) => TopologicalSpace.coinduced.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} TopCat.{max u2 u1} Type.{max u2 u1} TopCat.hasCoeToSort.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F))) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (Quiver.Hom.{succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1})) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j) (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F))) (fun (_x : ContinuousMap.{max u2 u1, max u2 u1} (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (coeSort.{succ (succ (max u2 u1)), succ (succ (max u2 u1))} (CategoryTheory.Bundled.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) Type.{max u2 u1} (CategoryTheory.Bundled.hasCoeToSort.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} 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u1} TopologicalSpace.{max u2 u1}) (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F))) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u2 u1} (CategoryTheory.Limits.colimit.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)))) (CategoryTheory.Limits.colimit.ι.{u2, u2, max u2 u1, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u2, u2, max u2 u1, succ (max u2 u1)} TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F) j)) (TopCat.topologicalSpace.{max u2 u1} (CategoryTheory.Functor.obj.{u2, max u2 u1, u2, succ (max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j))))
 but is expected to have type
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(CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, max u2 u1} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} TopCat.concreteCategory.{max u2 u1})) (Prefunctor.obj.{succ u1, succ (max u2 u1), u1, max (succ u2) (succ u1)} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) TopCatMax.{u1, u2} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, u2}) F)) (CategoryTheory.Limits.colimit.ι.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 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(CategoryTheory.Category.toCategoryStruct.{max u2 u1, succ (max u2 u1)} Type.{max u2 u1} CategoryTheory.types.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, succ (max u2 u1), succ (max u2 u1)} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} Type.{max u2 u1} CategoryTheory.types.{max u2 u1} (CategoryTheory.forget.{succ (max u2 u1), max u2 u1, max u2 u1} TopCat.{max u2 u1} instTopCatLargeCategory.{max u2 u1} TopCat.concreteCategory.{max u2 u1})) (CategoryTheory.Limits.colimit.{u1, u1, max u2 u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} J _inst_1 TopCat.topCat_hasColimitsOfSize.{u1, 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 Case conversion may be inaccurate. Consider using '#align Top.colimit_topology TopCat.colimit_topologyₓ'. -/
 theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
     (colimit F).TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (colimit.ι F j) :=
@@ -603,7 +603,7 @@ theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) :=
   by
   conv_lhs => rw [colimit_topology F]
-  exact isOpen_supᵢ_iff
+  exact isOpen_iSup_iff
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
 
 /- warning: Top.coequalizer_is_open_iff -> TopCat.coequalizer_isOpen_iff is a dubious translation:

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
 
 ! This file was ported from Lean 3 source module topology.category.Top.limits.pullbacks
-! leanprover-community/mathlib commit 178a32653e369dce2da68dc6b2694e385d484ef1
+! leanprover-community/mathlib commit 6cf5900728239efa287df7761ec2a1ac9cf39b29
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.ConcreteCategory.Elementwise
 /-!
 # Pullbacks in the category of topological spaces.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 -/
 
 

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

@@ -35,16 +35,29 @@ section Pullback
 
 variable {X Y Z : TopCat.{u}}
 
+/- warning: Top.pullback_fst -> TopCat.pullbackFst is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_fst TopCat.pullbackFstₓ'. -/
 /-- The first projection from the pullback. -/
 abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ X :=
   ⟨Prod.fst ∘ Subtype.val⟩
 #align Top.pullback_fst TopCat.pullbackFst
 
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_snd TopCat.pullbackSndₓ'. -/
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
   ⟨Prod.snd ∘ Subtype.val⟩
 #align Top.pullback_snd TopCat.pullbackSnd
 
+#print TopCat.pullbackCone /-
 /-- The explicit pullback cone of `X, Y` given by `{ p : X × Y // f p.1 = g p.2 }`. -/
 def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
   PullbackCone.mk (pullbackFst f g) (pullbackSnd f g)
@@ -52,7 +65,9 @@ def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
       ext ⟨x, h⟩
       simp [h])
 #align Top.pullback_cone TopCat.pullbackCone
+-/
 
+#print TopCat.pullbackConeIsLimit /-
 /-- The constructed cone is a limit. -/
 def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g) :=
   PullbackCone.isLimitAux' _
@@ -75,19 +90,38 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
         · simpa using concrete_category.congr_hom h₁ x
         · simpa using concrete_category.congr_hom h₂ x)
 #align Top.pullback_cone_is_limit TopCat.pullbackConeIsLimit
+-/
 
+/- warning: Top.pullback_iso_prod_subtype -> TopCat.pullbackIsoProdSubtype is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtypeₓ'. -/
 /-- The pullback of two maps can be identified as a subspace of `X × Y`. -/
 def pullbackIsoProdSubtype (f : X ⟶ Z) (g : Y ⟶ Z) :
     pullback f g ≅ TopCat.of { p : X × Y // f p.1 = g p.2 } :=
   (limit.isLimit _).conePointUniqueUpToIso (pullbackConeIsLimit f g)
 #align Top.pullback_iso_prod_subtype TopCat.pullbackIsoProdSubtype
 
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fstₓ'. -/
 @[simp, reassoc.1]
 theorem pullbackIsoProdSubtype_inv_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.fst = pullbackFst f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_fst TopCat.pullbackIsoProdSubtype_inv_fst
 
+/- warning: Top.pullback_iso_prod_subtype_inv_fst_apply -> TopCat.pullbackIsoProdSubtype_inv_fst_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
@@ -95,12 +129,24 @@ theorem pullbackIsoProdSubtype_inv_fst_apply (f : X ⟶ Z) (g : Y ⟶ Z)
   ConcreteCategory.congr_hom (pullbackIsoProdSubtype_inv_fst f g) x
 #align Top.pullback_iso_prod_subtype_inv_fst_apply TopCat.pullbackIsoProdSubtype_inv_fst_apply
 
+/- warning: Top.pullback_iso_prod_subtype_inv_snd -> TopCat.pullbackIsoProdSubtype_inv_snd is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_sndₓ'. -/
 @[simp, reassoc.1]
 theorem pullbackIsoProdSubtype_inv_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).inv ≫ pullback.snd = pullbackSnd f g := by
   simpa [pullback_iso_prod_subtype]
 #align Top.pullback_iso_prod_subtype_inv_snd TopCat.pullbackIsoProdSubtype_inv_snd
 
+/- warning: Top.pullback_iso_prod_subtype_inv_snd_apply -> TopCat.pullbackIsoProdSubtype_inv_snd_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_inv_snd_apply TopCat.pullbackIsoProdSubtype_inv_snd_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_inv_snd_apply (f : X ⟶ Z) (g : Y ⟶ Z)
     (x : { p : X × Y // f p.1 = g p.2 }) :
@@ -108,16 +154,26 @@ theorem pullbackIsoProdSubtype_inv_snd_apply (f : X ⟶ Z) (g : Y ⟶ Z)
   ConcreteCategory.congr_hom (pullbackIsoProdSubtype_inv_snd f g) x
 #align Top.pullback_iso_prod_subtype_inv_snd_apply TopCat.pullbackIsoProdSubtype_inv_snd_apply
 
+#print TopCat.pullbackIsoProdSubtype_hom_fst /-
 theorem pullbackIsoProdSubtype_hom_fst (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).Hom ≫ pullbackFst f g = pullback.fst := by
   rw [← iso.eq_inv_comp, pullback_iso_prod_subtype_inv_fst]
 #align Top.pullback_iso_prod_subtype_hom_fst TopCat.pullbackIsoProdSubtype_hom_fst
+-/
 
+#print TopCat.pullbackIsoProdSubtype_hom_snd /-
 theorem pullbackIsoProdSubtype_hom_snd (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullbackIsoProdSubtype f g).Hom ≫ pullbackSnd f g = pullback.snd := by
   rw [← iso.eq_inv_comp, pullback_iso_prod_subtype_inv_snd]
 #align Top.pullback_iso_prod_subtype_hom_snd TopCat.pullbackIsoProdSubtype_hom_snd
+-/
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_applyₓ'. -/
 @[simp]
 theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullback f g) :
     (pullbackIsoProdSubtype f g).Hom x =
@@ -129,6 +185,12 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z} (x : pullba
     concrete_category.congr_hom (pullback_iso_prod_subtype_hom_snd f g) x]
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
 
+/- warning: Top.pullback_topology -> TopCat.pullback_topology is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_topology TopCat.pullback_topologyₓ'. -/
 theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (pullback f g).TopologicalSpace =
       induced (pullback.fst : pullback f g ⟶ _) X.TopologicalSpace ⊓
@@ -140,6 +202,12 @@ theorem pullback_topology {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
   simpa [induced_compose]
 #align Top.pullback_topology TopCat.pullback_topology
 
+/- warning: Top.range_pullback_to_prod -> TopCat.range_pullback_to_prod is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.range_pullback_to_prod TopCat.range_pullback_to_prodₓ'. -/
 theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Set.range (prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) =
       { x | (Limits.prod.fst ≫ f) x = (Limits.prod.snd ≫ g) x } :=
@@ -156,16 +224,34 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     rintro ⟨⟨⟩⟩ <;> simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
+/- warning: Top.inducing_pullback_to_prod -> TopCat.inducing_pullback_to_prod is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prodₓ'. -/
 theorem inducing_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨by simp [prod_topology, pullback_topology, induced_compose, ← coe_comp]⟩
 #align Top.inducing_pullback_to_prod TopCat.inducing_pullback_to_prod
 
+/- warning: Top.embedding_pullback_to_prod -> TopCat.embedding_pullback_to_prod is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prodₓ'. -/
 theorem embedding_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Embedding ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨inducing_pullback_to_prod f g, (TopCat.mono_iff_injective _).mp inferInstance⟩
 #align Top.embedding_pullback_to_prod TopCat.embedding_pullback_to_prod
 
+/- warning: Top.range_pullback_map -> TopCat.range_pullback_map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.range_pullback_map TopCat.range_pullback_mapₓ'. -/
 /-- If the map `S ⟶ T` is mono, then there is a description of the image of `W ×ₛ X ⟶ Y ×ₜ Z`. -/
 theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶ S) (g₁ : Y ⟶ T)
     (g₂ : Z ⟶ T) (i₁ : W ⟶ Y) (i₂ : X ⟶ Z) (i₃ : S ⟶ T) [H₃ : Mono i₃] (eq₁ : f₁ ≫ i₃ = i₁ ≫ g₁)
@@ -196,6 +282,12 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   · simp [hx₂]
 #align Top.range_pullback_map TopCat.range_pullback_map
 
+/- warning: Top.pullback_fst_range -> TopCat.pullback_fst_range is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_range TopCat.pullback_fst_rangeₓ'. -/
 theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.fst : pullback f g ⟶ _) = { x : X | ∃ y : Y, f x = g y } :=
   by
@@ -209,6 +301,12 @@ theorem pullback_fst_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     simp
 #align Top.pullback_fst_range TopCat.pullback_fst_range
 
+/- warning: Top.pullback_snd_range -> TopCat.pullback_snd_range is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_range TopCat.pullback_snd_rangeₓ'. -/
 theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     Set.range (pullback.snd : pullback f g ⟶ _) = { y : Y | ∃ x : X, f x = g y } :=
   by
@@ -222,6 +320,12 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
     simp
 #align Top.pullback_snd_range TopCat.pullback_snd_range
 
+/- warning: Top.pullback_map_embedding_of_embeddings -> TopCat.pullback_map_embedding_of_embeddings is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are embeddings,
 then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an embedding.
 
@@ -248,6 +352,12 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat} (f₁ : W 
   refine' Embedding.comp (embedding_prod_map H₁ H₂) (embedding_pullback_to_prod _ _)
 #align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddings
 
+/- warning: Top.pullback_map_open_embedding_of_open_embeddings -> TopCat.pullback_map_openEmbedding_of_open_embeddings is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddingsₓ'. -/
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`
 is mono, then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an open embedding.
   W  ⟶  Y
@@ -271,6 +381,12 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat} (f
     exacts[H₁.open_range, H₂.open_range]
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
+/- warning: Top.snd_embedding_of_left_embedding -> TopCat.snd_embedding_of_left_embedding is a dubious translation:
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X Y S f g)))))
+Case conversion may be inaccurate. Consider using '#align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embeddingₓ'. -/
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
     Embedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -281,6 +397,12 @@ theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embe
   simp
 #align Top.snd_embedding_of_left_embedding TopCat.snd_embedding_of_left_embedding
 
+/- warning: Top.fst_embedding_of_right_embedding -> TopCat.fst_embedding_of_right_embedding is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embeddingₓ'. -/
 theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : Embedding g) : Embedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -291,6 +413,12 @@ theorem fst_embedding_of_right_embedding {X Y S : TopCat} (f : X ⟶ S) {g : Y 
   simp
 #align Top.fst_embedding_of_right_embedding TopCat.fst_embedding_of_right_embedding
 
+/- warning: Top.embedding_of_pullback_embeddings -> TopCat.embedding_of_pullback_embeddings is a dubious translation:
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CategoryTheory.Limits.WalkingCospan.one)))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {S : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X S} {g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y S}, (Embedding.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} 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+Case conversion may be inaccurate. Consider using '#align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddingsₓ'. -/
 theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S} (H₁ : Embedding f)
     (H₂ : Embedding g) : Embedding (limit.π (cospan f g) WalkingCospan.one) :=
   by
@@ -300,6 +428,12 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
 
+/- warning: Top.snd_open_embedding_of_left_open_embedding -> TopCat.snd_openEmbedding_of_left_openEmbedding is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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X Y S f g)))))
+Case conversion may be inaccurate. Consider using '#align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbeddingₓ'. -/
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
     (g : Y ⟶ S) : OpenEmbedding ⇑(pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -310,6 +444,12 @@ theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (
   simp
 #align Top.snd_open_embedding_of_left_open_embedding TopCat.snd_openEmbedding_of_left_openEmbedding
 
+/- warning: Top.fst_open_embedding_of_right_open_embedding -> TopCat.fst_openEmbedding_of_right_openEmbedding is a dubious translation:
+lean 3 declaration is
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succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y S f g)))))
+but is expected to have type
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X Y S f g)))))
+Case conversion may be inaccurate. Consider using '#align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbeddingₓ'. -/
 theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (H : OpenEmbedding g) : OpenEmbedding ⇑(pullback.fst : pullback f g ⟶ X) :=
   by
@@ -320,6 +460,12 @@ theorem fst_openEmbedding_of_right_openEmbedding {X Y S : TopCat} (f : X ⟶ S)
   simp
 #align Top.fst_open_embedding_of_right_open_embedding TopCat.fst_openEmbedding_of_right_openEmbedding
 
+/- warning: Top.open_embedding_of_pullback_open_embeddings -> TopCat.openEmbedding_of_pullback_open_embeddings is a dubious translation:
+lean 3 declaration is
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CategoryTheory.Limits.WalkingCospan.one)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddingsₓ'. -/
 /-- If `X ⟶ S`, `Y ⟶ S` are open embeddings, then so is `X ×ₛ Y ⟶ S`. -/
 theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S}
     (H₁ : OpenEmbedding f) (H₂ : OpenEmbedding g) :
@@ -331,6 +477,12 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
   exact (limit.w _ walking_cospan.hom.inr).symm
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
 
+/- warning: Top.fst_iso_of_right_embedding_range_subset -> TopCat.fst_iso_of_right_embedding_range_subset is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subsetₓ'. -/
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}
     (hg : Embedding g) (H : Set.range f ⊆ Set.range g) : IsIso (pullback.fst : pullback f g ⟶ X) :=
   by
@@ -348,6 +500,12 @@ theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {
   rfl
 #align Top.fst_iso_of_right_embedding_range_subset TopCat.fst_iso_of_right_embedding_range_subset
 
+/- warning: Top.snd_iso_of_left_embedding_range_subset -> TopCat.snd_iso_of_left_embedding_range_subset is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subsetₓ'. -/
 theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (hf : Embedding f)
     (g : Y ⟶ S) (H : Set.range g ⊆ Set.range f) : IsIso (pullback.snd : pullback f g ⟶ Y) :=
   by
@@ -365,6 +523,12 @@ theorem snd_iso_of_left_embedding_range_subset {X Y S : TopCat} {f : X ⟶ S} (h
   rfl
 #align Top.snd_iso_of_left_embedding_range_subset TopCat.snd_iso_of_left_embedding_range_subset
 
+/- warning: Top.pullback_snd_image_fst_preimage -> TopCat.pullback_snd_image_fst_preimage is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimageₓ'. -/
 theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X) :
     (pullback.snd : pullback f g ⟶ _) '' ((pullback.fst : pullback f g ⟶ _) ⁻¹' U) =
       g ⁻¹' (f '' U) :=
@@ -378,6 +542,12 @@ theorem pullback_snd_image_fst_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set X)
     exact ⟨(TopCat.pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, Eq⟩, by simpa, by simp⟩
 #align Top.pullback_snd_image_fst_preimage TopCat.pullback_snd_image_fst_preimage
 
+/- warning: Top.pullback_fst_image_snd_preimage -> TopCat.pullback_fst_image_snd_preimage is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Z) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y Z g) U))
+Case conversion may be inaccurate. Consider using '#align Top.pullback_fst_image_snd_preimage TopCat.pullback_fst_image_snd_preimageₓ'. -/
 theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y) :
     (pullback.fst : pullback f g ⟶ _) '' ((pullback.snd : pullback f g ⟶ _) ⁻¹' U) =
       f ⁻¹' (g '' U) :=
@@ -394,6 +564,12 @@ theorem pullback_fst_image_snd_preimage (f : X ⟶ Z) (g : Y ⟶ Z) (U : Set Y)
 
 end Pullback
 
+/- warning: Top.coinduced_of_is_colimit -> TopCat.coinduced_of_isColimit is a dubious translation:
+lean 3 declaration is
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(max u2 u1)} J _inst_1 TopCat.{max u2 u1} TopCat.largeCategory.{max u2 u1} F j)))))
+but is expected to have type
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instTopCatLargeCategory.{max u2 u1}) (CategoryTheory.Functor.const.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Limits.Cocone.pt.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F c)) (CategoryTheory.Limits.Cocone.ι.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F c) j)) (CategoryTheory.Bundled.str.{max u2 u1, max u2 u1} TopologicalSpace.{max u1 u2} (Prefunctor.obj.{succ u1, max (succ u2) (succ u1), u1, max (succ u2) (succ u1)} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) TopCatMax.{u1, u2} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (succ u2) (succ u1)} TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 TopCatMax.{u1, u2} instTopCatLargeCategory.{max u2 u1} F) j)))))
+Case conversion may be inaccurate. Consider using '#align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimitₓ'. -/
 theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc : IsColimit c) :
     c.pt.TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (c.ι.app j) :=
   by
@@ -403,11 +579,23 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCat.{max v u}} (c : Cocone F) (hc :
   exact isOpen_supᵢ_iff
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
 
+/- warning: Top.colimit_topology -> TopCat.colimit_topology is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.colimit_topology TopCat.colimit_topologyₓ'. -/
 theorem colimit_topology (F : J ⥤ TopCat.{max v u}) :
     (colimit F).TopologicalSpace = ⨆ j, (F.obj j).TopologicalSpace.coinduced (colimit.ι F j) :=
   coinduced_of_isColimit _ (colimit.isColimit F)
 #align Top.colimit_topology TopCat.colimit_topology
 
+/- warning: Top.colimit_is_open_iff -> TopCat.colimit_isOpen_iff is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Top.colimit_is_open_iff TopCat.colimit_isOpen_iffₓ'. -/
 theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _) : Type max v u)) :
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) :=
   by
@@ -415,6 +603,12 @@ theorem colimit_isOpen_iff (F : J ⥤ TopCat.{max v u}) (U : Set ((colimit F : _
   exact isOpen_supᵢ_iff
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
 
+/- warning: Top.coequalizer_is_open_iff -> TopCat.coequalizer_isOpen_iff is a dubious translation:
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+but is expected to have type
+  forall (F : CategoryTheory.Functor.{0, u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1}) (U : Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (CategoryTheory.Limits.colimit.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F)))), Iff (IsOpen.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (CategoryTheory.Limits.colimit.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F))) (TopCat.topologicalSpace_coe.{u1} (CategoryTheory.Limits.colimit.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F))) U) (IsOpen.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{1, succ u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F) CategoryTheory.Limits.WalkingParallelPair.one)) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{1, succ u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F) CategoryTheory.Limits.WalkingParallelPair.one)) (Set.preimage.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{1, succ u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F) CategoryTheory.Limits.WalkingParallelPair.one)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (CategoryTheory.Limits.colimit.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F))) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{1, succ u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.colimit.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F)) (CategoryTheory.Limits.colimit.ι.{0, 0, u1, succ u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.{u1} instTopCatLargeCategory.{u1} F (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{0, 0, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory TopCat.topCat_hasColimitsOfSize.{0, u1}) F) CategoryTheory.Limits.WalkingParallelPair.one)) U))
+Case conversion may be inaccurate. Consider using '#align Top.coequalizer_is_open_iff TopCat.coequalizer_isOpen_iffₓ'. -/
 theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
     (U : Set ((colimit F : _) : Type u)) :
     IsOpen U ↔ IsOpen (colimit.ι F WalkingParallelPair.one ⁻¹' U) :=

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

A PR analogous to #12338 and #12361: reformatting proofs following the multiple goals linter of #12339.

@@ -67,14 +67,14 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
     (by
       intro S
       constructor; swap
-      exact
-        { toFun := fun x =>
-            ⟨⟨S.fst x, S.snd x⟩, by simpa using ConcreteCategory.congr_hom S.condition x⟩
-          continuous_toFun := by
-            apply Continuous.subtype_mk <| Continuous.prod_mk ?_ ?_
-            · exact (PullbackCone.fst S)|>.continuous_toFun
-            · exact (PullbackCone.snd S)|>.continuous_toFun
-        }
+      · exact
+          { toFun := fun x =>
+              ⟨⟨S.fst x, S.snd x⟩, by simpa using ConcreteCategory.congr_hom S.condition x⟩
+            continuous_toFun := by
+              apply Continuous.subtype_mk <| Continuous.prod_mk ?_ ?_
+              · exact (PullbackCone.fst S)|>.continuous_toFun
+              · exact (PullbackCone.snd S)|>.continuous_toFun
+          }
       refine' ⟨_, _, _⟩
       · delta pullbackCone
         ext a

All these lemmas refer to the range of some function being open/range (i.e. isOpen or isClosed).

@@ -308,9 +308,9 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat.{u}}
   · rw [range_pullback_map]
     apply IsOpen.inter <;> apply Continuous.isOpen_preimage
     · apply ContinuousMap.continuous_toFun
-    · exact H₁.open_range
+    · exact H₁.isOpen_range
     · apply ContinuousMap.continuous_toFun
-    · exact H₂.open_range
+    · exact H₂.isOpen_range
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :

I removed some of the tactics that were not used and are hopefully uncontroversial arising from the linter at #11308.

As the commit messages should convey, the removed tactics are, essentially,

push_cast
norm_cast
congr
norm_num
dsimp
funext
intro
infer_instance

@@ -335,7 +335,6 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
     (H₂ : Embedding g) : Embedding (limit.π (cospan f g) WalkingCospan.one) := by
   convert H₂.comp (snd_embedding_of_left_embedding H₁ g)
   erw [← coe_comp]
-  congr
   rw [← limit.w _ WalkingCospan.Hom.inr]
   rfl
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
@@ -364,7 +363,6 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
     OpenEmbedding (limit.π (cospan f g) WalkingCospan.one) := by
   convert H₂.comp (snd_openEmbedding_of_left_openEmbedding H₁ g)
   erw [← coe_comp]
-  congr
   rw [← limit.w _ WalkingCospan.Hom.inr]
   rfl
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

@@ -34,14 +34,16 @@ variable {X Y Z : TopCat.{u}}
 
 /-- The first projection from the pullback. -/
 abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ X :=
-  ⟨Prod.fst ∘ Subtype.val, by apply Continuous.comp <;> continuity⟩
+  ⟨Prod.fst ∘ Subtype.val, by
+    apply Continuous.comp <;> set_option tactic.skipAssignedInstances false in continuity⟩
 #align Top.pullback_fst TopCat.pullbackFst
 
 @[simp] lemma pullbackFst_apply (f : X ⟶ Z) (g : Y ⟶ Z) (x) : pullbackFst f g x = x.1.1 := rfl
 
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
-  ⟨Prod.snd ∘ Subtype.val, by apply Continuous.comp <;> continuity⟩
+  ⟨Prod.snd ∘ Subtype.val, by
+    apply Continuous.comp <;> set_option tactic.skipAssignedInstances false in continuity⟩
 #align Top.pullback_snd TopCat.pullbackSnd
 
 @[simp] lemma pullbackSnd_apply (f : X ⟶ Z) (g : Y ⟶ Z) (x) : pullbackSnd f g x = x.1.2 := rfl

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -285,7 +285,7 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat.{u}} (f₁ :
     Embedding (prod.lift pullback.fst pullback.snd ≫ Limits.prod.map i₁ i₂ : pullback f₁ f₂ ⟶ _) by
     simpa [← coe_comp] using this
   rw [coe_comp]
-  refine Embedding.comp (embedding_prod_map H₁ H₂) (embedding_pullback_to_prod _ _)
+  exact Embedding.comp (embedding_prod_map H₁ H₂) (embedding_pullback_to_prod _ _)
 #align Top.pullback_map_embedding_of_embeddings TopCat.pullback_map_embedding_of_embeddings
 
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -4,7 +4,6 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
 -/
 import Mathlib.Topology.Category.TopCat.Limits.Products
-import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 
 #align_import topology.category.Top.limits.pullbacks from "leanprover-community/mathlib"@"178a32653e369dce2da68dc6b2694e385d484ef1"
 

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -170,7 +170,7 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     use (pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, h⟩
     apply Concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;>
-    rw [←comp_apply, ←comp_apply, limit.lift_π] <;>
+    rw [← comp_apply, ← comp_apply, limit.lift_π] <;>
     -- This used to be `simp` before leanprover/lean4#2644
     aesop_cat
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
@@ -220,7 +220,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   ext
   constructor
   · rintro ⟨y, rfl⟩
-    simp only [Set.mem_inter_iff, Set.mem_preimage, Set.mem_range, ←comp_apply, limit.lift_π,
+    simp only [Set.mem_inter_iff, Set.mem_preimage, Set.mem_range, ← comp_apply, limit.lift_π,
       PullbackCone.mk_pt, PullbackCone.mk_π_app]
     simp only [comp_apply, exists_apply_eq_apply, and_self]
   rintro ⟨⟨x₁, hx₁⟩, ⟨x₂, hx₂⟩⟩
@@ -232,7 +232,7 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   use (pullbackIsoProdSubtype f₁ f₂).inv ⟨⟨x₁, x₂⟩, this⟩
   apply Concrete.limit_ext
   rintro (_ | _ | _) <;>
-  simp only [←comp_apply, Category.assoc, limit.lift_π, PullbackCone.mk_π_app_one]
+  simp only [← comp_apply, Category.assoc, limit.lift_π, PullbackCone.mk_π_app_one]
   · simp only [cospan_one, pullbackIsoProdSubtype_inv_fst_assoc, comp_apply,
       pullbackFst_apply, hx₁]
     rw [← limit.w _ WalkingCospan.Hom.inl, cospan_map_inl, comp_apply (g := g₁)]
@@ -335,7 +335,7 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
   convert H₂.comp (snd_embedding_of_left_embedding H₁ g)
   erw [← coe_comp]
   congr
-  rw [←limit.w _ WalkingCospan.Hom.inr]
+  rw [← limit.w _ WalkingCospan.Hom.inr]
   rfl
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
 
@@ -364,7 +364,7 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
   convert H₂.comp (snd_openEmbedding_of_left_openEmbedding H₁ g)
   erw [← coe_comp]
   congr
-  rw [←(limit.w _ WalkingCospan.Hom.inr)]
+  rw [← limit.w _ WalkingCospan.Hom.inr]
   rfl
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
 

PR contents

This is the supremum of

• #8284
• #8056
• #8023
• #8332
• #8226 (already approved)
• #7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

• leanprover/lean4#2778
• leanprover/lean4#2790
• leanprover/lean4#2783
• leanprover/lean4#2825
• leanprover/lean4#2722

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

• switching to using explicit lemmas that have the intended level of application
• (config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
• Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

@@ -51,7 +51,7 @@ abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1
 def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
   PullbackCone.mk (pullbackFst f g) (pullbackSnd f g)
     (by
-      dsimp [pullbackFst, pullbackSnd, Function.comp]
+      dsimp [pullbackFst, pullbackSnd, Function.comp_def]
       ext ⟨x, h⟩
       -- Next 2 lines were
       -- `rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]`

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -170,7 +170,7 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     use (pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, h⟩
     apply Concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;>
-    rw [←comp_apply, prod.comp_lift, ←comp_apply, limit.lift_π] <;>
+    rw [←comp_apply, ←comp_apply, limit.lift_π] <;>
     -- This used to be `simp` before leanprover/lean4#2644
     aesop_cat
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod

@@ -181,24 +181,24 @@ def pullbackHomeoPreimage
     {X Y Z : Type*} [TopologicalSpace X] [TopologicalSpace Y] [TopologicalSpace Z]
     (f : X → Z) (hf : Continuous f) (g : Y → Z) (hg : Embedding g) :
     { p : X × Y // f p.1 = g p.2 } ≃ₜ f ⁻¹' Set.range g where
-    toFun := fun x ↦ ⟨x.1.1, _, x.2.symm⟩
-    invFun := fun x ↦ ⟨⟨x.1, Exists.choose x.2⟩, (Exists.choose_spec x.2).symm⟩
-    left_inv := by
-      intro x
-      ext <;> dsimp
-      apply hg.inj
-      convert x.prop
-      exact Exists.choose_spec (p := fun y ↦ g y = f (↑x : X × Y).1) _
-    right_inv := fun x ↦ rfl
-    continuous_toFun := by
-      apply Continuous.subtype_mk
-      exact continuous_fst.comp continuous_subtype_val
-    continuous_invFun := by
-      apply Continuous.subtype_mk
-      refine continuous_prod_mk.mpr ⟨continuous_subtype_val, hg.toInducing.continuous_iff.mpr ?_⟩
-      convert hf.comp continuous_subtype_val
-      ext x
-      exact Exists.choose_spec x.2
+  toFun := fun x ↦ ⟨x.1.1, _, x.2.symm⟩
+  invFun := fun x ↦ ⟨⟨x.1, Exists.choose x.2⟩, (Exists.choose_spec x.2).symm⟩
+  left_inv := by
+    intro x
+    ext <;> dsimp
+    apply hg.inj
+    convert x.prop
+    exact Exists.choose_spec (p := fun y ↦ g y = f (↑x : X × Y).1) _
+  right_inv := fun x ↦ rfl
+  continuous_toFun := by
+    apply Continuous.subtype_mk
+    exact continuous_fst.comp continuous_subtype_val
+  continuous_invFun := by
+    apply Continuous.subtype_mk
+    refine continuous_prod_mk.mpr ⟨continuous_subtype_val, hg.toInducing.continuous_iff.mpr ?_⟩
+    convert hf.comp continuous_subtype_val
+    ext x
+    exact Exists.choose_spec x.2
 
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing <| ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=

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

@@ -175,6 +175,31 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     aesop_cat
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
+/-- The pullback along an embedding is (isomorphic to) the preimage. -/
+noncomputable
+def pullbackHomeoPreimage
+    {X Y Z : Type*} [TopologicalSpace X] [TopologicalSpace Y] [TopologicalSpace Z]
+    (f : X → Z) (hf : Continuous f) (g : Y → Z) (hg : Embedding g) :
+    { p : X × Y // f p.1 = g p.2 } ≃ₜ f ⁻¹' Set.range g where
+    toFun := fun x ↦ ⟨x.1.1, _, x.2.symm⟩
+    invFun := fun x ↦ ⟨⟨x.1, Exists.choose x.2⟩, (Exists.choose_spec x.2).symm⟩
+    left_inv := by
+      intro x
+      ext <;> dsimp
+      apply hg.inj
+      convert x.prop
+      exact Exists.choose_spec (p := fun y ↦ g y = f (↑x : X × Y).1) _
+    right_inv := fun x ↦ rfl
+    continuous_toFun := by
+      apply Continuous.subtype_mk
+      exact continuous_fst.comp continuous_subtype_val
+    continuous_invFun := by
+      apply Continuous.subtype_mk
+      refine continuous_prod_mk.mpr ⟨continuous_subtype_val, hg.toInducing.continuous_iff.mpr ?_⟩
+      convert hf.comp continuous_subtype_val
+      ext x
+      exact Exists.choose_spec x.2
+
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
     Inducing <| ⇑(prod.lift pullback.fst pullback.snd : pullback f g ⟶ X ⨯ Y) :=
   ⟨by simp [prod_topology, pullback_topology, induced_compose, ← coe_comp]⟩

This reverts commit f3695eb2.

@@ -53,8 +53,11 @@ def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
     (by
       dsimp [pullbackFst, pullbackSnd, Function.comp]
       ext ⟨x, h⟩
-      rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]
-      exact h)
+      -- Next 2 lines were
+      -- `rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]`
+      -- `exact h` before leanprover/lean4#2644
+      rw [comp_apply, comp_apply]
+      congr!)
 #align Top.pullback_cone TopCat.pullbackCone
 
 /-- The constructed cone is a limit. -/
@@ -74,12 +77,12 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
       refine' ⟨_, _, _⟩
       · delta pullbackCone
         ext a
-        rw [comp_apply, ContinuousMap.coe_mk]
-        rfl
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [comp_apply, ContinuousMap.coe_mk]
       · delta pullbackCone
         ext a
-        rw [comp_apply, ContinuousMap.coe_mk]
-        rfl
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [comp_apply, ContinuousMap.coe_mk]
       · intro m h₁ h₂
         -- Porting note: used to be ext x
         apply ContinuousMap.ext; intro x
@@ -168,7 +171,8 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     apply Concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;>
     rw [←comp_apply, prod.comp_lift, ←comp_apply, limit.lift_π] <;>
-    simp
+    -- This used to be `simp` before leanprover/lean4#2644
+    aesop_cat
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :

This reverts commit 26eb2b0a.

@@ -53,11 +53,8 @@ def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
     (by
       dsimp [pullbackFst, pullbackSnd, Function.comp]
       ext ⟨x, h⟩
-      -- Next 2 lines were
-      -- `rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]`
-      -- `exact h` before leanprover/lean4#2644
-      rw [comp_apply, comp_apply]
-      congr!)
+      rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]
+      exact h)
 #align Top.pullback_cone TopCat.pullbackCone
 
 /-- The constructed cone is a limit. -/
@@ -77,12 +74,12 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
       refine' ⟨_, _, _⟩
       · delta pullbackCone
         ext a
-        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-        erw [comp_apply, ContinuousMap.coe_mk]
+        rw [comp_apply, ContinuousMap.coe_mk]
+        rfl
       · delta pullbackCone
         ext a
-        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-        erw [comp_apply, ContinuousMap.coe_mk]
+        rw [comp_apply, ContinuousMap.coe_mk]
+        rfl
       · intro m h₁ h₂
         -- Porting note: used to be ext x
         apply ContinuousMap.ext; intro x
@@ -171,8 +168,7 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     apply Concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;>
     rw [←comp_apply, prod.comp_lift, ←comp_apply, limit.lift_π] <;>
-    -- This used to be `simp` before leanprover/lean4#2644
-    aesop_cat
+    simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :

This includes all the changes from #7606.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -53,8 +53,11 @@ def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
     (by
       dsimp [pullbackFst, pullbackSnd, Function.comp]
       ext ⟨x, h⟩
-      rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]
-      exact h)
+      -- Next 2 lines were
+      -- `rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]`
+      -- `exact h` before leanprover/lean4#2644
+      rw [comp_apply, comp_apply]
+      congr!)
 #align Top.pullback_cone TopCat.pullbackCone
 
 /-- The constructed cone is a limit. -/
@@ -74,12 +77,12 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
       refine' ⟨_, _, _⟩
       · delta pullbackCone
         ext a
-        rw [comp_apply, ContinuousMap.coe_mk]
-        rfl
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [comp_apply, ContinuousMap.coe_mk]
       · delta pullbackCone
         ext a
-        rw [comp_apply, ContinuousMap.coe_mk]
-        rfl
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [comp_apply, ContinuousMap.coe_mk]
       · intro m h₁ h₂
         -- Porting note: used to be ext x
         apply ContinuousMap.ext; intro x
@@ -168,7 +171,8 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     apply Concrete.limit_ext
     rintro ⟨⟨⟩⟩ <;>
     rw [←comp_apply, prod.comp_lift, ←comp_apply, limit.lift_π] <;>
-    simp
+    -- This used to be `simp` before leanprover/lean4#2644
+    aesop_cat
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
-
-! This file was ported from Lean 3 source module topology.category.Top.limits.pullbacks
-! leanprover-community/mathlib commit 178a32653e369dce2da68dc6b2694e385d484ef1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Category.TopCat.Limits.Products
 import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 
+#align_import topology.category.Top.limits.pullbacks from "leanprover-community/mathlib"@"178a32653e369dce2da68dc6b2694e385d484ef1"
+
 /-!
 # Pullbacks and pushouts in the category of topological spaces
 -/

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -241,11 +241,11 @@ theorem pullback_snd_range {X Y S : TopCat} (f : X ⟶ S) (g : Y ⟶ S) :
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are embeddings,
 then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an embedding.
 
-  W  ⟶  Y
+  W ⟶ Y
     ↘      ↘
-      S  ⟶  T
+      S ⟶ T
     ↗      ↗
-  X  ⟶  Z
+  X ⟶ Z
 -/
 theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat.{u}} (f₁ : W ⟶ S) (f₂ : X ⟶ S)
     (g₁ : Y ⟶ T) (g₂ : Z ⟶ T) {i₁ : W ⟶ Y} {i₂ : X ⟶ Z} (H₁ : Embedding i₁) (H₂ : Embedding i₂)
@@ -265,11 +265,11 @@ theorem pullback_map_embedding_of_embeddings {W X Y Z S T : TopCat.{u}} (f₁ :
 
 /-- If there is a diagram where the morphisms `W ⟶ Y` and `X ⟶ Z` are open embeddings, and `S ⟶ T`
 is mono, then the induced morphism `W ×ₛ X ⟶ Y ×ₜ Z` is also an open embedding.
-  W  ⟶  Y
+  W ⟶ Y
     ↘      ↘
-      S  ⟶  T
+      S ⟶ T
     ↗       ↗
-  X  ⟶  Z
+  X ⟶ Z
 -/
 theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat.{u}} (f₁ : W ⟶ S)
     (f₂ : X ⟶ S) (g₁ : Y ⟶ T) (g₂ : Z ⟶ T) {i₁ : W ⟶ Y} {i₂ : X ⟶ Z} (H₁ : OpenEmbedding i₁)
@@ -287,8 +287,8 @@ theorem pullback_map_openEmbedding_of_open_embeddings {W X Y Z S T : TopCat.{u}}
 #align Top.pullback_map_open_embedding_of_open_embeddings TopCat.pullback_map_openEmbedding_of_open_embeddings
 
 theorem snd_embedding_of_left_embedding {X Y S : TopCat} {f : X ⟶ S} (H : Embedding f) (g : Y ⟶ S) :
-    Embedding <| ⇑(pullback.snd : pullback f g ⟶  Y) := by
-  convert (homeoOfIso (asIso (pullback.snd : pullback (𝟙 S) g ⟶  _))).embedding.comp
+    Embedding <| ⇑(pullback.snd : pullback f g ⟶ Y) := by
+  convert (homeoOfIso (asIso (pullback.snd : pullback (𝟙 S) g ⟶ _))).embedding.comp
       (pullback_map_embedding_of_embeddings (i₂ := 𝟙 Y)
         f g (𝟙 S) g H (homeoOfIso (Iso.refl _)).embedding (𝟙 _) rfl (by simp))
   erw [← coe_comp]

@@ -41,20 +41,23 @@ abbrev pullbackFst (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1
   ⟨Prod.fst ∘ Subtype.val, by apply Continuous.comp <;> continuity⟩
 #align Top.pullback_fst TopCat.pullbackFst
 
+@[simp] lemma pullbackFst_apply (f : X ⟶ Z) (g : Y ⟶ Z) (x) : pullbackFst f g x = x.1.1 := rfl
+
 /-- The second projection from the pullback. -/
 abbrev pullbackSnd (f : X ⟶ Z) (g : Y ⟶ Z) : TopCat.of { p : X × Y // f p.1 = g p.2 } ⟶ Y :=
   ⟨Prod.snd ∘ Subtype.val, by apply Continuous.comp <;> continuity⟩
 #align Top.pullback_snd TopCat.pullbackSnd
 
+@[simp] lemma pullbackSnd_apply (f : X ⟶ Z) (g : Y ⟶ Z) (x) : pullbackSnd f g x = x.1.2 := rfl
+
 /-- The explicit pullback cone of `X, Y` given by `{ p : X × Y // f p.1 = g p.2 }`. -/
 def pullbackCone (f : X ⟶ Z) (g : Y ⟶ Z) : PullbackCone f g :=
   PullbackCone.mk (pullbackFst f g) (pullbackSnd f g)
     (by
       dsimp [pullbackFst, pullbackSnd, Function.comp]
       ext ⟨x, h⟩
-      simp only [TopCat.comp_app]
-      simp only [hom_apply]
-      simp [h, ← hom_apply])
+      rw [comp_apply, ContinuousMap.coe_mk, comp_apply, ContinuousMap.coe_mk]
+      exact h)
 #align Top.pullback_cone TopCat.pullbackCone
 
 /-- The constructed cone is a limit. -/
@@ -73,15 +76,13 @@ def pullbackConeIsLimit (f : X ⟶ Z) (g : Y ⟶ Z) : IsLimit (pullbackCone f g)
         }
       refine' ⟨_, _, _⟩
       · delta pullbackCone
-        apply Faithful.map_injective (F := (forget TopCat))
         ext a
-        rw [TopCat.comp_app]
-        simp [hom_apply]
+        rw [comp_apply, ContinuousMap.coe_mk]
+        rfl
       · delta pullbackCone
-        apply Faithful.map_injective (F := (forget TopCat))
         ext a
-        rw [TopCat.comp_app]
-        simp [hom_apply]
+        rw [comp_apply, ContinuousMap.coe_mk]
+        rfl
       · intro m h₁ h₂
         -- Porting note: used to be ext x
         apply ContinuousMap.ext; intro x
@@ -165,14 +166,12 @@ theorem range_pullback_to_prod {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z) :
     simp only [← comp_apply, Set.mem_setOf_eq]
     congr 1
     simp [pullback.condition]
-  · intro h
+  · rintro (h : f (_, _).1 = g (_, _).2)
     use (pullbackIsoProdSubtype f g).inv ⟨⟨_, _⟩, h⟩
     apply Concrete.limit_ext
-    rintro ⟨⟨⟩⟩
-    · conv_rhs => rw [hom_apply]
-      simp
-    · conv_rhs => rw [hom_apply]
-      simp
+    rintro ⟨⟨⟩⟩ <;>
+    rw [←comp_apply, prod.comp_lift, ←comp_apply, limit.lift_π] <;>
+    simp
 #align Top.range_pullback_to_prod TopCat.range_pullback_to_prod
 
 theorem inducing_pullback_to_prod {X Y Z : TopCat.{u}} (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -195,7 +194,9 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
   ext
   constructor
   · rintro ⟨y, rfl⟩
-    simp
+    simp only [Set.mem_inter_iff, Set.mem_preimage, Set.mem_range, ←comp_apply, limit.lift_π,
+      PullbackCone.mk_pt, PullbackCone.mk_π_app]
+    simp only [comp_apply, exists_apply_eq_apply, and_self]
   rintro ⟨⟨x₁, hx₁⟩, ⟨x₂, hx₂⟩⟩
   have : f₁ x₁ = f₂ x₂ := by
     apply (TopCat.mono_iff_injective _).mp H₃
@@ -204,13 +205,11 @@ theorem range_pullback_map {W X Y Z S T : TopCat} (f₁ : W ⟶ S) (f₂ : X ⟶
     simp only [← comp_apply, pullback.condition]
   use (pullbackIsoProdSubtype f₁ f₂).inv ⟨⟨x₁, x₂⟩, this⟩
   apply Concrete.limit_ext
-  rintro (_ | _ | _)
-  · simp only [TopCat.comp_app, limit.lift_π_apply, Category.assoc, PullbackCone.mk_π_app_one, hx₁,
-      pullbackIsoProdSubtype_inv_fst_apply, Subtype.coe_mk]
-    simp only [← comp_apply]
-    have : pullback.fst ≫ g₁ = limit.π (cospan g₁ g₂) none := by
-      apply limit.w _ WalkingCospan.Hom.inl
-    rw [this]
+  rintro (_ | _ | _) <;>
+  simp only [←comp_apply, Category.assoc, limit.lift_π, PullbackCone.mk_π_app_one]
+  · simp only [cospan_one, pullbackIsoProdSubtype_inv_fst_assoc, comp_apply,
+      pullbackFst_apply, hx₁]
+    rw [← limit.w _ WalkingCospan.Hom.inl, cospan_map_inl, comp_apply (g := g₁)]
   · simp [hx₁]
   · simp [hx₂]
 #align Top.range_pullback_map TopCat.range_pullback_map
@@ -310,7 +309,8 @@ theorem embedding_of_pullback_embeddings {X Y S : TopCat} {f : X ⟶ S} {g : Y 
   convert H₂.comp (snd_embedding_of_left_embedding H₁ g)
   erw [← coe_comp]
   congr
-  exact (limit.w _ WalkingCospan.Hom.inr).symm
+  rw [←limit.w _ WalkingCospan.Hom.inr]
+  rfl
 #align Top.embedding_of_pullback_embeddings TopCat.embedding_of_pullback_embeddings
 
 theorem snd_openEmbedding_of_left_openEmbedding {X Y S : TopCat} {f : X ⟶ S} (H : OpenEmbedding f)
@@ -338,7 +338,8 @@ theorem openEmbedding_of_pullback_open_embeddings {X Y S : TopCat} {f : X ⟶ S}
   convert H₂.comp (snd_openEmbedding_of_left_openEmbedding H₁ g)
   erw [← coe_comp]
   congr
-  exact (limit.w _ WalkingCospan.Hom.inr).symm
+  rw [←(limit.w _ WalkingCospan.Hom.inr)]
+  rfl
 #align Top.open_embedding_of_pullback_open_embeddings TopCat.openEmbedding_of_pullback_open_embeddings
 
 theorem fst_iso_of_right_embedding_range_subset {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S}

Too often tempted to change these during other PRs, so doing a mass edit here.

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

@@ -141,7 +141,7 @@ theorem pullbackIsoProdSubtype_hom_apply {f : X ⟶ Z} {g : Y ⟶ Z}
       ⟨⟨(pullback.fst : pullback f g ⟶ _) x, (pullback.snd : pullback f g ⟶ _) x⟩, by
         simpa using ConcreteCategory.congr_hom pullback.condition x⟩ := by
   apply Subtype.ext; apply Prod.ext
-  exacts[ConcreteCategory.congr_hom (pullbackIsoProdSubtype_hom_fst f g) x,
+  exacts [ConcreteCategory.congr_hom (pullbackIsoProdSubtype_hom_fst f g) x,
     ConcreteCategory.congr_hom (pullbackIsoProdSubtype_hom_snd f g) x]
 #align Top.pullback_iso_prod_subtype_hom_apply TopCat.pullbackIsoProdSubtype_hom_apply
 

@@ -8,7 +8,7 @@ Authors: Patrick Massot, Scott Morrison, Mario Carneiro, Andrew Yang
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathlib.Topology.Category.Top.Limits.Products
+import Mathlib.Topology.Category.TopCat.Limits.Products
 import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
 
 /-!

As discussed on Zulip

Renames

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

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

@@ -402,8 +402,8 @@ theorem coinduced_of_isColimit {F : J ⥤ TopCatMax.{v, u}} (c : Cocone F) (hc :
     c.pt.str = ⨆ j, (F.obj j).str.coinduced (c.ι.app j) := by
   let homeo := homeoOfIso (hc.coconePointUniqueUpToIso (colimitCoconeIsColimit F))
   ext
-  refine' homeo.symm.isOpen_preimage.symm.trans (Iff.trans _ isOpen_supᵢ_iff.symm)
-  exact isOpen_supᵢ_iff
+  refine' homeo.symm.isOpen_preimage.symm.trans (Iff.trans _ isOpen_iSup_iff.symm)
+  exact isOpen_iSup_iff
 #align Top.coinduced_of_is_colimit TopCat.coinduced_of_isColimit
 
 theorem colimit_topology (F : J ⥤ TopCatMax.{v, u}) :
@@ -415,7 +415,7 @@ theorem colimit_isOpen_iff (F : J ⥤ TopCatMax.{v, u}) (U : Set ((colimit F : _
     IsOpen U ↔ ∀ j, IsOpen (colimit.ι F j ⁻¹' U) := by
   dsimp [topologicalSpace_coe]
   conv_lhs => rw [colimit_topology F]
-  exact isOpen_supᵢ_iff
+  exact isOpen_iSup_iff
 #align Top.colimit_is_open_iff TopCat.colimit_isOpen_iff
 
 theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
@@ -433,4 +433,3 @@ theorem coequalizer_isOpen_iff (F : WalkingParallelPair ⥤ TopCat.{u})
 #align Top.coequalizer_is_open_iff TopCat.coequalizer_isOpen_iff
 
 end TopCat
-

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Matthew Robert Ballard <100034030+mattrobball@users.noreply.github.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com>