algebraic_geometry.sheafed_space | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

f384f5d1

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

0b7c740e

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -99,7 +99,7 @@ instance : Category (SheafedSpace C) :=
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{v} C :=
   inducedFunctor _
-deriving Full, Faithful
+deriving CategoryTheory.Functor.Full, CategoryTheory.Functor.Faithful
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 -/

0b7c740e

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import AlgebraicGeometry.PresheafedSpace.HasColimits
+import Geometry.RingedSpace.PresheafedSpace.HasColimits
 import Topology.Sheaves.Functors
 
 #align_import algebraic_geometry.sheafed_space from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"

0b7c740e

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.AlgebraicGeometry.PresheafedSpace.HasColimits
-import Mathbin.Topology.Sheaves.Functors
+import AlgebraicGeometry.PresheafedSpace.HasColimits
+import Topology.Sheaves.Functors
 
 #align_import algebraic_geometry.sheafed_space from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"

0b7c740e

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebraic_geometry.sheafed_space
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicGeometry.PresheafedSpace.HasColimits
 import Mathbin.Topology.Sheaves.Functors
 
+#align_import algebraic_geometry.sheafed_space from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Sheafed spaces

0b7c740e

bump to nightly-2023-06-18-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

3b5e23dc

Diff

@@ -45,12 +45,10 @@ attribute [local tidy] tactic.op_induction'
 
 namespace AlgebraicGeometry
 
-#print AlgebraicGeometry.SheafedSpace /-
 /-- A `SheafedSpace C` is a topological space equipped with a sheaf of `C`s. -/
 structure SheafedSpace extends PresheafedSpace.{v} C where
   IsSheaf : presheaf.IsSheaf
-#align algebraic_geometry.SheafedSpace AlgebraicGeometry.SheafedSpace
--/
+#align algebraic_geometry.SheafedSpace AlgebraicGeometry.SheafedSpaceₓ
 
 variable {C}
 
@@ -71,7 +69,7 @@ def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat.{v}) :=
 @[simp]
 theorem as_coe (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
   rfl
-#align algebraic_geometry.SheafedSpace.as_coe AlgebraicGeometry.SheafedSpace.as_coe
+#align algebraic_geometry.SheafedSpace.as_coe AlgebraicGeometry.SheafedSpaceₓ.as_coe
 
 #print AlgebraicGeometry.SheafedSpace.mk_coe /-
 @[simp]

0b7c740e

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -56,8 +56,10 @@ variable {C}
 
 namespace SheafedSpace
 
+#print AlgebraicGeometry.SheafedSpace.coeCarrier /-
 instance coeCarrier : Coe (SheafedSpace C) TopCat where coe X := X.carrier
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
+-/
 
 #print AlgebraicGeometry.SheafedSpace.sheaf /-
 /-- Extract the `sheaf C (X : Top)` from a `SheafedSpace C`. -/
@@ -98,16 +100,20 @@ instance : Category (SheafedSpace C) :=
   show Category (InducedCategory (PresheafedSpace.{v} C) SheafedSpace.toPresheafedSpace) by
     infer_instance
 
+#print AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace /-
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{v} C :=
   inducedFunctor _
 deriving Full, Faithful
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
+-/
 
+#print AlgebraicGeometry.SheafedSpace.is_presheafedSpace_iso /-
 instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=
   SheafedSpace.forgetToPresheafedSpace.map_isIso f
 #align algebraic_geometry.SheafedSpace.is_PresheafedSpace_iso AlgebraicGeometry.SheafedSpace.is_presheafedSpace_iso
+-/
 
 variable {C}
 
@@ -122,92 +128,122 @@ theorem id_base (X : SheafedSpace C) : (𝟙 X : X ⟶ X).base = 𝟙 (X : TopCa
 #align algebraic_geometry.SheafedSpace.id_base AlgebraicGeometry.SheafedSpace.id_base
 -/
 
+#print AlgebraicGeometry.SheafedSpace.id_c /-
 theorem id_c (X : SheafedSpace C) :
     (𝟙 X : X ⟶ X).c = eqToHom (Presheaf.Pushforward.id_eq X.Presheaf).symm :=
   rfl
 #align algebraic_geometry.SheafedSpace.id_c AlgebraicGeometry.SheafedSpace.id_c
+-/
 
+#print AlgebraicGeometry.SheafedSpace.id_c_app /-
 @[simp]
 theorem id_c_app (X : SheafedSpace C) (U) :
     (𝟙 X : X ⟶ X).c.app U = eqToHom (by induction U using Opposite.rec'; cases U; rfl) := by
   induction U using Opposite.rec'; cases U; simp only [id_c]; dsimp; simp
 #align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_app
+-/
 
+#print AlgebraicGeometry.SheafedSpace.comp_base /-
 @[simp]
 theorem comp_base {X Y Z : SheafedSpace C} (f : X ⟶ Y) (g : Y ⟶ Z) :
     (f ≫ g).base = f.base ≫ g.base :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_base AlgebraicGeometry.SheafedSpace.comp_base
+-/
 
+#print AlgebraicGeometry.SheafedSpace.comp_c_app /-
 @[simp]
 theorem comp_c_app {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app U = β.c.app U ≫ α.c.app (op ((Opens.map β.base).obj (unop U))) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app AlgebraicGeometry.SheafedSpace.comp_c_app
+-/
 
+#print AlgebraicGeometry.SheafedSpace.comp_c_app' /-
 theorem comp_c_app' {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app (op U) = β.c.app (op U) ≫ α.c.app (op ((Opens.map β.base).obj U)) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app' AlgebraicGeometry.SheafedSpace.comp_c_app'
+-/
 
+#print AlgebraicGeometry.SheafedSpace.congr_app /-
 theorem congr_app {X Y : SheafedSpace C} {α β : X ⟶ Y} (h : α = β) (U) :
     α.c.app U = β.c.app U ≫ X.Presheaf.map (eqToHom (by subst h)) :=
   PresheafedSpace.congr_app h U
 #align algebraic_geometry.SheafedSpace.congr_app AlgebraicGeometry.SheafedSpace.congr_app
+-/
 
 variable (C)
 
+#print AlgebraicGeometry.SheafedSpace.forget /-
 /-- The forgetful functor from `SheafedSpace` to `Top`. -/
 def forget : SheafedSpace C ⥤ TopCat
     where
   obj X := (X : TopCat.{v})
   map X Y f := f.base
 #align algebraic_geometry.SheafedSpace.forget AlgebraicGeometry.SheafedSpace.forget
+-/
 
 end
 
 open TopCat.Presheaf
 
+#print AlgebraicGeometry.SheafedSpace.restrict /-
 /-- The restriction of a sheafed space along an open embedding into the space.
 -/
 def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h : OpenEmbedding f) :
     SheafedSpace C :=
   { X.toPresheafedSpace.restrict h with IsSheaf := isSheaf_of_openEmbedding h X.IsSheaf }
 #align algebraic_geometry.SheafedSpace.restrict AlgebraicGeometry.SheafedSpace.restrict
+-/
 
+#print AlgebraicGeometry.SheafedSpace.restrictTopIso /-
 /-- The restriction of a sheafed space `X` to the top subspace is isomorphic to `X` itself.
 -/
 def restrictTopIso (X : SheafedSpace C) : X.restrict (Opens.openEmbedding ⊤) ≅ X :=
   forgetToPresheafedSpace.preimageIso X.toPresheafedSpace.restrictTopIso
 #align algebraic_geometry.SheafedSpace.restrict_top_iso AlgebraicGeometry.SheafedSpace.restrictTopIso
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ /-
 /-- The global sections, notated Gamma.
 -/
 def Γ : (SheafedSpace C)ᵒᵖ ⥤ C :=
   forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ
 #align algebraic_geometry.SheafedSpace.Γ AlgebraicGeometry.SheafedSpace.Γ
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ_def /-
 theorem Γ_def : (Γ : _ ⥤ C) = forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_def AlgebraicGeometry.SheafedSpace.Γ_def
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ_obj /-
 @[simp]
 theorem Γ_obj (X : (SheafedSpace C)ᵒᵖ) : Γ.obj X = (unop X).Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj AlgebraicGeometry.SheafedSpace.Γ_obj
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ_obj_op /-
 theorem Γ_obj_op (X : SheafedSpace C) : Γ.obj (op X) = X.Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj_op AlgebraicGeometry.SheafedSpace.Γ_obj_op
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ_map /-
 @[simp]
 theorem Γ_map {X Y : (SheafedSpace C)ᵒᵖ} (f : X ⟶ Y) : Γ.map f = f.unop.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map AlgebraicGeometry.SheafedSpace.Γ_map
+-/
 
+#print AlgebraicGeometry.SheafedSpace.Γ_map_op /-
 theorem Γ_map_op {X Y : SheafedSpace C} (f : X ⟶ Y) : Γ.map f.op = f.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map_op AlgebraicGeometry.SheafedSpace.Γ_map_op
+-/
 
 noncomputable instance [HasLimits C] :
     CreatesColimits (forgetToPresheafedSpace : SheafedSpace C ⥤ _) :=

0b7c740e

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -219,7 +219,7 @@ noncomputable instance [HasLimits C] :
         (colimit.iso_colimit_cocone ⟨_, PresheafedSpace.colimit_cocone_is_colimit _⟩).symm⟩⟩
 
 instance [HasLimits C] : HasColimits (SheafedSpace C) :=
-  has_colimits_of_has_colimits_creates_colimits forgetToPresheafedSpace
+  hasColimits_of_hasColimits_createsColimits forgetToPresheafedSpace
 
 noncomputable instance [HasLimits C] : PreservesColimits (forget C) :=
   Limits.compPreservesColimits forgetToPresheafedSpace (PresheafedSpace.forget C)

0b7c740e

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -100,7 +100,8 @@ instance : Category (SheafedSpace C) :=
 
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{v} C :=
-  inducedFunctor _ deriving Full, Faithful
+  inducedFunctor _
+deriving Full, Faithful
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 
 instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :

0b7c740e

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -66,12 +66,10 @@ def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat.{v}) :=
 #align algebraic_geometry.SheafedSpace.sheaf AlgebraicGeometry.SheafedSpace.sheaf
 -/
 
-/- warning: algebraic_geometry.SheafedSpace.as_coe clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.as_coe [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
+theorem as_coe (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
   rfl
-#align algebraic_geometry.SheafedSpace.as_coe [anonymous]
+#align algebraic_geometry.SheafedSpace.as_coe AlgebraicGeometry.SheafedSpace.as_coe
 
 #print AlgebraicGeometry.SheafedSpace.mk_coe /-
 @[simp]

0b7c740e

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -56,12 +56,6 @@ variable {C}
 
 namespace SheafedSpace
 
-/- warning: algebraic_geometry.SheafedSpace.coe_carrier -> AlgebraicGeometry.SheafedSpace.coeCarrier is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], Coe.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1}
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], CoeOut.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1}
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrierₓ'. -/
 instance coeCarrier : Coe (SheafedSpace C) TopCat where coe X := X.carrier
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
 
@@ -73,11 +67,6 @@ def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat.{v}) :=
 -/
 
 /- warning: algebraic_geometry.SheafedSpace.as_coe clashes with [anonymous] -> [anonymous]
-warning: algebraic_geometry.SheafedSpace.as_coe -> [anonymous] is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (X : AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1), Eq.{succ (succ u1)} TopCat.{u1} (AlgebraicGeometry.PresheafedSpace.carrier.{u1, u1, u2} C _inst_1 (AlgebraicGeometry.SheafedSpace.toPresheafedSpace.{u1, u2} C _inst_1 X)) ((fun (a : Sort.{max (succ u2) (succ (succ u1))}) (b : Type.{succ u1}) [self : HasLiftT.{max (succ u2) (succ (succ u1)), succ (succ u1)} a b] => self.0) (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1} (HasLiftT.mk.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1} (CoeTCₓ.coe.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1} (coeBase.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1} (AlgebraicGeometry.SheafedSpace.coeCarrier.{u1, u2} C _inst_1)))) X)
-but is expected to have type
-  forall {C : Type.{u1}} {_inst_1 : Type.{u2}}, (Nat -> C -> _inst_1) -> Nat -> (List.{u1} C) -> (List.{u2} _inst_1)
 Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.as_coe [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
@@ -111,23 +100,11 @@ instance : Category (SheafedSpace C) :=
   show Category (InducedCategory (PresheafedSpace.{v} C) SheafedSpace.toPresheafedSpace) by
     infer_instance
 
-/- warning: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace -> AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], CategoryTheory.Functor.{u1, u1, max u2 (succ u1), max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.CategoryTheory.category.{u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.{u1, u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.categoryOfPresheafedSpaces.{u1, u2} C _inst_1)
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], CategoryTheory.Functor.{u1, u1, max (succ u1) u2, max (succ u1) u2} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.instCategorySheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.{u2, u1, u1} C _inst_1) (AlgebraicGeometry.PresheafedSpace.categoryOfPresheafedSpaces.{u2, u1, u1} C _inst_1)
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpaceₓ'. -/
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{v} C :=
   inducedFunctor _ deriving Full, Faithful
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 
-/- warning: algebraic_geometry.SheafedSpace.is_PresheafedSpace_iso -> AlgebraicGeometry.SheafedSpace.is_presheafedSpace_iso is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1} {Y : AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1} (f : Quiver.Hom.{succ u1, max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.CategoryTheory.category.{u1, u2} C _inst_1))) X Y) [_inst_2 : CategoryTheory.IsIso.{u1, max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.CategoryTheory.category.{u1, u2} C _inst_1) X Y f], CategoryTheory.IsIso.{u1, max u2 (succ u1)} (AlgebraicGeometry.PresheafedSpace.{u1, u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.categoryOfPresheafedSpaces.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.toPresheafedSpace.{u1, u2} C _inst_1 X) (AlgebraicGeometry.SheafedSpace.toPresheafedSpace.{u1, u2} C _inst_1 Y) f
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.is_PresheafedSpace_iso AlgebraicGeometry.SheafedSpace.is_presheafedSpace_isoₓ'. -/
 instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=
   SheafedSpace.forgetToPresheafedSpace.map_isIso f
@@ -146,55 +123,34 @@ theorem id_base (X : SheafedSpace C) : (𝟙 X : X ⟶ X).base = 𝟙 (X : TopCa
 #align algebraic_geometry.SheafedSpace.id_base AlgebraicGeometry.SheafedSpace.id_base
 -/
 
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 theorem id_c (X : SheafedSpace C) :
     (𝟙 X : X ⟶ X).c = eqToHom (Presheaf.Pushforward.id_eq X.Presheaf).symm :=
   rfl
 #align algebraic_geometry.SheafedSpace.id_c AlgebraicGeometry.SheafedSpace.id_c
 
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 @[simp]
 theorem id_c_app (X : SheafedSpace C) (U) :
     (𝟙 X : X ⟶ X).c.app U = eqToHom (by induction U using Opposite.rec'; cases U; rfl) := by
   induction U using Opposite.rec'; cases U; simp only [id_c]; dsimp; simp
 #align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_app
 
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 @[simp]
 theorem comp_base {X Y Z : SheafedSpace C} (f : X ⟶ Y) (g : Y ⟶ Z) :
     (f ≫ g).base = f.base ≫ g.base :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_base AlgebraicGeometry.SheafedSpace.comp_base
 
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 @[simp]
 theorem comp_c_app {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app U = β.c.app U ≫ α.c.app (op ((Opens.map β.base).obj (unop U))) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app AlgebraicGeometry.SheafedSpace.comp_c_app
 
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 theorem comp_c_app' {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app (op U) = β.c.app (op U) ≫ α.c.app (op ((Opens.map β.base).obj U)) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app' AlgebraicGeometry.SheafedSpace.comp_c_app'
 
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 theorem congr_app {X Y : SheafedSpace C} {α β : X ⟶ Y} (h : α = β) (U) :
     α.c.app U = β.c.app U ≫ X.Presheaf.map (eqToHom (by subst h)) :=
   PresheafedSpace.congr_app h U
@@ -202,12 +158,6 @@ theorem congr_app {X Y : SheafedSpace C} {α β : X ⟶ Y} (h : α = β) (U) :
 
 variable (C)
 
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 /-- The forgetful functor from `SheafedSpace` to `Top`. -/
 def forget : SheafedSpace C ⥤ TopCat
     where
@@ -219,9 +169,6 @@ end
 
 open TopCat.Presheaf
 
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 /-- The restriction of a sheafed space along an open embedding into the space.
 -/
 def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h : OpenEmbedding f) :
@@ -229,63 +176,36 @@ def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h :
   { X.toPresheafedSpace.restrict h with IsSheaf := isSheaf_of_openEmbedding h X.IsSheaf }
 #align algebraic_geometry.SheafedSpace.restrict AlgebraicGeometry.SheafedSpace.restrict
 
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 /-- The restriction of a sheafed space `X` to the top subspace is isomorphic to `X` itself.
 -/
 def restrictTopIso (X : SheafedSpace C) : X.restrict (Opens.openEmbedding ⊤) ≅ X :=
   forgetToPresheafedSpace.preimageIso X.toPresheafedSpace.restrictTopIso
 #align algebraic_geometry.SheafedSpace.restrict_top_iso AlgebraicGeometry.SheafedSpace.restrictTopIso
 
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 /-- The global sections, notated Gamma.
 -/
 def Γ : (SheafedSpace C)ᵒᵖ ⥤ C :=
   forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ
 #align algebraic_geometry.SheafedSpace.Γ AlgebraicGeometry.SheafedSpace.Γ
 
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 theorem Γ_def : (Γ : _ ⥤ C) = forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_def AlgebraicGeometry.SheafedSpace.Γ_def
 
-/- warning: algebraic_geometry.SheafedSpace.Γ_obj -> AlgebraicGeometry.SheafedSpace.Γ_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_obj AlgebraicGeometry.SheafedSpace.Γ_objₓ'. -/
 @[simp]
 theorem Γ_obj (X : (SheafedSpace C)ᵒᵖ) : Γ.obj X = (unop X).Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj AlgebraicGeometry.SheafedSpace.Γ_obj
 
-/- warning: algebraic_geometry.SheafedSpace.Γ_obj_op -> AlgebraicGeometry.SheafedSpace.Γ_obj_op is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_obj_op AlgebraicGeometry.SheafedSpace.Γ_obj_opₓ'. -/
 theorem Γ_obj_op (X : SheafedSpace C) : Γ.obj (op X) = X.Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj_op AlgebraicGeometry.SheafedSpace.Γ_obj_op
 
-/- warning: algebraic_geometry.SheafedSpace.Γ_map -> AlgebraicGeometry.SheafedSpace.Γ_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_map AlgebraicGeometry.SheafedSpace.Γ_mapₓ'. -/
 @[simp]
 theorem Γ_map {X Y : (SheafedSpace C)ᵒᵖ} (f : X ⟶ Y) : Γ.map f = f.unop.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map AlgebraicGeometry.SheafedSpace.Γ_map
 
-/- warning: algebraic_geometry.SheafedSpace.Γ_map_op -> AlgebraicGeometry.SheafedSpace.Γ_map_op is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_map_op AlgebraicGeometry.SheafedSpace.Γ_map_opₓ'. -/
 theorem Γ_map_op {X Y : SheafedSpace C} (f : X ⟶ Y) : Γ.map f.op = f.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map_op AlgebraicGeometry.SheafedSpace.Γ_map_op

0b7c740e

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -159,18 +159,8 @@ theorem id_c (X : SheafedSpace C) :
 Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_appₓ'. -/
 @[simp]
 theorem id_c_app (X : SheafedSpace C) (U) :
-    (𝟙 X : X ⟶ X).c.app U =
-      eqToHom
-        (by
-          induction U using Opposite.rec'
-          cases U
-          rfl) :=
-  by
-  induction U using Opposite.rec'
-  cases U
-  simp only [id_c]
-  dsimp
-  simp
+    (𝟙 X : X ⟶ X).c.app U = eqToHom (by induction U using Opposite.rec'; cases U; rfl) := by
+  induction U using Opposite.rec'; cases U; simp only [id_c]; dsimp; simp
 #align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_app
 
 /- warning: algebraic_geometry.SheafedSpace.comp_base -> AlgebraicGeometry.SheafedSpace.comp_base is a dubious translation:

0b7c740e

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebraic_geometry.sheafed_space
-! leanprover-community/mathlib commit f384f5d1a4e39f36817b8d22afff7b52af8121d1
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Sheaves.Functors
 /-!
 # Sheafed spaces
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Introduces the category of topological spaces equipped with a sheaf (taking values in an
 arbitrary target category `C`.)
 
@@ -42,28 +45,46 @@ attribute [local tidy] tactic.op_induction'
 
 namespace AlgebraicGeometry
 
+#print AlgebraicGeometry.SheafedSpace /-
 /-- A `SheafedSpace C` is a topological space equipped with a sheaf of `C`s. -/
 structure SheafedSpace extends PresheafedSpace.{v} C where
   IsSheaf : presheaf.IsSheaf
 #align algebraic_geometry.SheafedSpace AlgebraicGeometry.SheafedSpace
+-/
 
 variable {C}
 
 namespace SheafedSpace
 
+/- warning: algebraic_geometry.SheafedSpace.coe_carrier -> AlgebraicGeometry.SheafedSpace.coeCarrier is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], Coe.{max (succ u2) (succ (succ u1)), succ (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) TopCat.{u1}
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+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrierₓ'. -/
 instance coeCarrier : Coe (SheafedSpace C) TopCat where coe X := X.carrier
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
 
+#print AlgebraicGeometry.SheafedSpace.sheaf /-
 /-- Extract the `sheaf C (X : Top)` from a `SheafedSpace C`. -/
 def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat.{v}) :=
   ⟨X.Presheaf, X.IsSheaf⟩
 #align algebraic_geometry.SheafedSpace.sheaf AlgebraicGeometry.SheafedSpace.sheaf
+-/
 
+/- warning: algebraic_geometry.SheafedSpace.as_coe clashes with [anonymous] -> [anonymous]
+warning: algebraic_geometry.SheafedSpace.as_coe -> [anonymous] is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.as_coe [anonymous]ₓ'. -/
 @[simp]
-theorem as_coe (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
+theorem [anonymous] (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
   rfl
-#align algebraic_geometry.SheafedSpace.as_coe AlgebraicGeometry.SheafedSpace.as_coe
+#align algebraic_geometry.SheafedSpace.as_coe [anonymous]
 
+#print AlgebraicGeometry.SheafedSpace.mk_coe /-
 @[simp]
 theorem mk_coe (carrier) (presheaf) (h) :
     (({     carrier
@@ -71,14 +92,17 @@ theorem mk_coe (carrier) (presheaf) (h) :
             IsSheaf := h } : SheafedSpace.{v} C) : TopCat.{v}) = carrier :=
   rfl
 #align algebraic_geometry.SheafedSpace.mk_coe AlgebraicGeometry.SheafedSpace.mk_coe
+-/
 
 instance (X : SheafedSpace.{v} C) : TopologicalSpace X :=
   X.carrier.str
 
+#print AlgebraicGeometry.SheafedSpace.unit /-
 /-- The trivial `unit` valued sheaf on any topological space. -/
 def unit (X : TopCat) : SheafedSpace (discrete Unit) :=
   { @PresheafedSpace.const (discrete Unit) _ X ⟨⟨⟩⟩ with IsSheaf := Presheaf.isSheaf_unit _ }
 #align algebraic_geometry.SheafedSpace.unit AlgebraicGeometry.SheafedSpace.unit
+-/
 
 instance : Inhabited (SheafedSpace (discrete Unit)) :=
   ⟨unit (TopCat.of PEmpty)⟩
@@ -87,11 +111,23 @@ instance : Category (SheafedSpace C) :=
   show Category (InducedCategory (PresheafedSpace.{v} C) SheafedSpace.toPresheafedSpace) by
     infer_instance
 
+/- warning: algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace -> AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C], CategoryTheory.Functor.{u1, u1, max u2 (succ u1), max u2 (succ u1)} (AlgebraicGeometry.SheafedSpace.{u1, u2} C _inst_1) (AlgebraicGeometry.SheafedSpace.CategoryTheory.category.{u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.{u1, u1, u2} C _inst_1) (AlgebraicGeometry.PresheafedSpace.categoryOfPresheafedSpaces.{u1, u2} C _inst_1)
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+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpaceₓ'. -/
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{v} C :=
   inducedFunctor _ deriving Full, Faithful
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 
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+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.is_PresheafedSpace_iso AlgebraicGeometry.SheafedSpace.is_presheafedSpace_isoₓ'. -/
 instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=
   SheafedSpace.forgetToPresheafedSpace.map_isIso f
@@ -103,16 +139,24 @@ section
 
 attribute [local simp] id comp
 
+#print AlgebraicGeometry.SheafedSpace.id_base /-
 @[simp]
 theorem id_base (X : SheafedSpace C) : (𝟙 X : X ⟶ X).base = 𝟙 (X : TopCat.{v}) :=
   rfl
 #align algebraic_geometry.SheafedSpace.id_base AlgebraicGeometry.SheafedSpace.id_base
+-/
 
+/- warning: algebraic_geometry.SheafedSpace.id_c -> AlgebraicGeometry.SheafedSpace.id_c is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.id_c AlgebraicGeometry.SheafedSpace.id_cₓ'. -/
 theorem id_c (X : SheafedSpace C) :
     (𝟙 X : X ⟶ X).c = eqToHom (Presheaf.Pushforward.id_eq X.Presheaf).symm :=
   rfl
 #align algebraic_geometry.SheafedSpace.id_c AlgebraicGeometry.SheafedSpace.id_c
 
+/- warning: algebraic_geometry.SheafedSpace.id_c_app -> AlgebraicGeometry.SheafedSpace.id_c_app is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_appₓ'. -/
 @[simp]
 theorem id_c_app (X : SheafedSpace C) (U) :
     (𝟙 X : X ⟶ X).c.app U =
@@ -129,23 +173,38 @@ theorem id_c_app (X : SheafedSpace C) (U) :
   simp
 #align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_app
 
+/- warning: algebraic_geometry.SheafedSpace.comp_base -> AlgebraicGeometry.SheafedSpace.comp_base is a dubious translation:
+lean 3 declaration is
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 @[simp]
 theorem comp_base {X Y Z : SheafedSpace C} (f : X ⟶ Y) (g : Y ⟶ Z) :
     (f ≫ g).base = f.base ≫ g.base :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_base AlgebraicGeometry.SheafedSpace.comp_base
 
+/- warning: algebraic_geometry.SheafedSpace.comp_c_app -> AlgebraicGeometry.SheafedSpace.comp_c_app is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.comp_c_app AlgebraicGeometry.SheafedSpace.comp_c_appₓ'. -/
 @[simp]
 theorem comp_c_app {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app U = β.c.app U ≫ α.c.app (op ((Opens.map β.base).obj (unop U))) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app AlgebraicGeometry.SheafedSpace.comp_c_app
 
+/- warning: algebraic_geometry.SheafedSpace.comp_c_app' -> AlgebraicGeometry.SheafedSpace.comp_c_app' is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.comp_c_app' AlgebraicGeometry.SheafedSpace.comp_c_app'ₓ'. -/
 theorem comp_c_app' {X Y Z : SheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (U) :
     (α ≫ β).c.app (op U) = β.c.app (op U) ≫ α.c.app (op ((Opens.map β.base).obj U)) :=
   rfl
 #align algebraic_geometry.SheafedSpace.comp_c_app' AlgebraicGeometry.SheafedSpace.comp_c_app'
 
+/- warning: algebraic_geometry.SheafedSpace.congr_app -> AlgebraicGeometry.SheafedSpace.congr_app is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.congr_app AlgebraicGeometry.SheafedSpace.congr_appₓ'. -/
 theorem congr_app {X Y : SheafedSpace C} {α β : X ⟶ Y} (h : α = β) (U) :
     α.c.app U = β.c.app U ≫ X.Presheaf.map (eqToHom (by subst h)) :=
   PresheafedSpace.congr_app h U
@@ -153,6 +212,12 @@ theorem congr_app {X Y : SheafedSpace C} {α β : X ⟶ Y} (h : α = β) (U) :
 
 variable (C)
 
+/- warning: algebraic_geometry.SheafedSpace.forget -> AlgebraicGeometry.SheafedSpace.forget 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 algebraic_geometry.SheafedSpace.forget AlgebraicGeometry.SheafedSpace.forgetₓ'. -/
 /-- The forgetful functor from `SheafedSpace` to `Top`. -/
 def forget : SheafedSpace C ⥤ TopCat
     where
@@ -164,6 +229,9 @@ end
 
 open TopCat.Presheaf
 
+/- warning: algebraic_geometry.SheafedSpace.restrict -> AlgebraicGeometry.SheafedSpace.restrict is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.restrict AlgebraicGeometry.SheafedSpace.restrictₓ'. -/
 /-- The restriction of a sheafed space along an open embedding into the space.
 -/
 def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h : OpenEmbedding f) :
@@ -171,36 +239,63 @@ def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h :
   { X.toPresheafedSpace.restrict h with IsSheaf := isSheaf_of_openEmbedding h X.IsSheaf }
 #align algebraic_geometry.SheafedSpace.restrict AlgebraicGeometry.SheafedSpace.restrict
 
+/- warning: algebraic_geometry.SheafedSpace.restrict_top_iso -> AlgebraicGeometry.SheafedSpace.restrictTopIso is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.restrict_top_iso AlgebraicGeometry.SheafedSpace.restrictTopIsoₓ'. -/
 /-- The restriction of a sheafed space `X` to the top subspace is isomorphic to `X` itself.
 -/
 def restrictTopIso (X : SheafedSpace C) : X.restrict (Opens.openEmbedding ⊤) ≅ X :=
   forgetToPresheafedSpace.preimageIso X.toPresheafedSpace.restrictTopIso
 #align algebraic_geometry.SheafedSpace.restrict_top_iso AlgebraicGeometry.SheafedSpace.restrictTopIso
 
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 /-- The global sections, notated Gamma.
 -/
 def Γ : (SheafedSpace C)ᵒᵖ ⥤ C :=
   forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ
 #align algebraic_geometry.SheafedSpace.Γ AlgebraicGeometry.SheafedSpace.Γ
 
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 theorem Γ_def : (Γ : _ ⥤ C) = forgetToPresheafedSpace.op ⋙ PresheafedSpace.Γ :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_def AlgebraicGeometry.SheafedSpace.Γ_def
 
+/- warning: algebraic_geometry.SheafedSpace.Γ_obj -> AlgebraicGeometry.SheafedSpace.Γ_obj is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_obj AlgebraicGeometry.SheafedSpace.Γ_objₓ'. -/
 @[simp]
 theorem Γ_obj (X : (SheafedSpace C)ᵒᵖ) : Γ.obj X = (unop X).Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj AlgebraicGeometry.SheafedSpace.Γ_obj
 
+/- warning: algebraic_geometry.SheafedSpace.Γ_obj_op -> AlgebraicGeometry.SheafedSpace.Γ_obj_op is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_obj_op AlgebraicGeometry.SheafedSpace.Γ_obj_opₓ'. -/
 theorem Γ_obj_op (X : SheafedSpace C) : Γ.obj (op X) = X.Presheaf.obj (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_obj_op AlgebraicGeometry.SheafedSpace.Γ_obj_op
 
+/- warning: algebraic_geometry.SheafedSpace.Γ_map -> AlgebraicGeometry.SheafedSpace.Γ_map is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_map AlgebraicGeometry.SheafedSpace.Γ_mapₓ'. -/
 @[simp]
 theorem Γ_map {X Y : (SheafedSpace C)ᵒᵖ} (f : X ⟶ Y) : Γ.map f = f.unop.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map AlgebraicGeometry.SheafedSpace.Γ_map
 
+/- warning: algebraic_geometry.SheafedSpace.Γ_map_op -> AlgebraicGeometry.SheafedSpace.Γ_map_op is a dubious translation:
+<too large>
+Case conversion may be inaccurate. Consider using '#align algebraic_geometry.SheafedSpace.Γ_map_op AlgebraicGeometry.SheafedSpace.Γ_map_opₓ'. -/
 theorem Γ_map_op {X Y : SheafedSpace C} (f : X ⟶ Y) : Γ.map f.op = f.c.app (op ⊤) :=
   rfl
 #align algebraic_geometry.SheafedSpace.Γ_map_op AlgebraicGeometry.SheafedSpace.Γ_map_op

f384f5d1

bump to nightly-2023-04-18-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/49b7f94aab3a3bdca1f9f34c5d818afb253b3993

c37d1701

Diff

@@ -118,11 +118,11 @@ theorem id_c_app (X : SheafedSpace C) (U) :
     (𝟙 X : X ⟶ X).c.app U =
       eqToHom
         (by
-          induction U using Opposite.rec
+          induction U using Opposite.rec'
           cases U
           rfl) :=
   by
-  induction U using Opposite.rec
+  induction U using Opposite.rec'
   cases U
   simp only [id_c]
   dsimp

f384f5d1

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -210,7 +210,7 @@ noncomputable instance [HasLimits C] :
   ⟨fun J hJ =>
     ⟨fun K =>
       creates_colimit_of_fully_faithful_of_iso
-        ⟨(PresheafedSpace.colimit_cocone (K ⋙ forget_to_PresheafedSpace)).x,
+        ⟨(PresheafedSpace.colimit_cocone (K ⋙ forget_to_PresheafedSpace)).pt,
           limit_is_sheaf _ fun j => sheaf.pushforward_sheaf_of_sheaf _ (K.obj (unop j)).2⟩
         (colimit.iso_colimit_cocone ⟨_, PresheafedSpace.colimit_cocone_is_colimit _⟩).symm⟩⟩

f384f5d1

bump to nightly-2023-02-27-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

91d8c210

Diff

@@ -215,7 +215,7 @@ noncomputable instance [HasLimits C] :
         (colimit.iso_colimit_cocone ⟨_, PresheafedSpace.colimit_cocone_is_colimit _⟩).symm⟩⟩
 
 instance [HasLimits C] : HasColimits (SheafedSpace C) :=
-  hasColimitsOfHasColimitsCreatesColimits forgetToPresheafedSpace
+  has_colimits_of_has_colimits_creates_colimits forgetToPresheafedSpace
 
 noncomputable instance [HasLimits C] : PreservesColimits (forget C) :=
   Limits.compPreservesColimits forgetToPresheafedSpace (PresheafedSpace.forget C)

f384f5d1

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

f384f5d1

chore(CategoryTheory): make Functor.Full a Prop (#12449)

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

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

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

ce289a0e

Diff

@@ -97,6 +97,14 @@ theorem ext {X Y : SheafedSpace C} (α β : X ⟶ Y) (w : α.base = β.base)
     (h : α.c ≫ whiskerRight (eqToHom (by rw [w])) _ = β.c) : α = β :=
   PresheafedSpace.ext α β w h
 
+/-- Constructor for isomorphisms in the category `SheafedSpace C`. -/
+@[simps]
+def isoMk {X Y : SheafedSpace C} (e : X.toPresheafedSpace ≅ Y.toPresheafedSpace) : X ≅ Y where
+  hom := e.hom
+  inv := e.inv
+  hom_inv_id := e.hom_inv_id
+  inv_hom_id := e.inv_hom_id
+
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 @[simps! obj map]
 def forgetToPresheafedSpace : SheafedSpace C ⥤ PresheafedSpace C :=
@@ -106,7 +114,7 @@ set_option linter.uppercaseLean3 false in
 
 -- Porting note: can't derive `Full` functor automatically
 instance forgetToPresheafedSpace_full : (forgetToPresheafedSpace (C := C)).Full where
-  preimage f := f
+  map_surjective f := ⟨f, rfl⟩
 
 -- Porting note: can't derive `Faithful` functor automatically
 instance forgetToPresheafedSpace_faithful : (forgetToPresheafedSpace (C := C)).Faithful where
@@ -189,8 +197,9 @@ set_option linter.uppercaseLean3 false in
 
 /-- The restriction of a sheafed space `X` to the top subspace is isomorphic to `X` itself.
 -/
+@[simps! hom inv]
 def restrictTopIso (X : SheafedSpace C) : X.restrict (Opens.openEmbedding ⊤) ≅ X :=
-  forgetToPresheafedSpace.preimageIso X.toPresheafedSpace.restrictTopIso
+  isoMk (X.toPresheafedSpace.restrictTopIso)
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.restrict_top_iso AlgebraicGeometry.SheafedSpace.restrictTopIso

f384f5d1

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

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

65b7affc

Diff

@@ -105,11 +105,11 @@ set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 
 -- Porting note: can't derive `Full` functor automatically
-instance forgetToPresheafedSpace_full : Full <| forgetToPresheafedSpace (C := C) where
+instance forgetToPresheafedSpace_full : (forgetToPresheafedSpace (C := C)).Full where
   preimage f := f
 
 -- Porting note: can't derive `Faithful` functor automatically
-instance forgetToPresheafedSpace_faithful : Faithful <| forgetToPresheafedSpace (C := C) where
+instance forgetToPresheafedSpace_faithful : (forgetToPresheafedSpace (C := C)).Faithful where
 
 instance is_presheafedSpace_iso {X Y : SheafedSpace C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=

f384f5d1

chore: bump aesop; update syntax (#10955)

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

46974e92

Diff

@@ -26,7 +26,7 @@ variable (C : Type*) [Category C]
 -- Porting note: removed
 -- local attribute [tidy] tactic.op_induction'
 -- as it isn't needed here. If it is useful elsewhere
--- attribute [local aesop safe cases (rule_sets [CategoryTheory])] Opposite
+-- attribute [local aesop safe cases (rule_sets := [CategoryTheory])] Opposite
 -- should suffice, but may need
 -- https://github.com/JLimperg/aesop/issues/59

f384f5d1

style: reduce spacing variation in "porting note" comments (#10886)

In this pull request, I have systematically eliminated the leading whitespace preceding the colon (:) within all unlabelled or unclassified porting notes. This adjustment facilitates a more efficient review process for the remaining notes by ensuring no entries are overlooked due to formatting inconsistencies.

86b84c52

Diff

@@ -43,7 +43,7 @@ variable {C}
 
 namespace SheafedSpace
 
--- Porting note : use `CoeOut` for the coercion happens left to right
+-- Porting note: use `CoeOut` for the coercion happens left to right
 instance coeCarrier : CoeOut (SheafedSpace C) TopCat where coe X := X.carrier
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
@@ -57,14 +57,14 @@ def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat) :=
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.sheaf AlgebraicGeometry.SheafedSpace.sheaf
 
--- Porting note : this is a syntactic tautology, so removed
+-- Porting note: this is a syntactic tautology, so removed
 -- @[simp]
 -- theorem as_coe (X : SheafedSpace C) : X.carrier = (X : TopCat) :=
 --   rfl
 -- set_option linter.uppercaseLean3 false in
 #noalign algebraic_geometry.SheafedSpace.as_coe
 
--- Porting note : this gives a `simpVarHead` error (`LEFT-HAND SIDE HAS VARIABLE AS HEAD SYMBOL.`).
+-- Porting note: this gives a `simpVarHead` error (`LEFT-HAND SIDE HAS VARIABLE AS HEAD SYMBOL.`).
 -- so removed @[simp]
 theorem mk_coe (carrier) (presheaf) (h) :
     (({ carrier
@@ -104,11 +104,11 @@ def forgetToPresheafedSpace : SheafedSpace C ⥤ PresheafedSpace C :=
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
 
--- Porting note : can't derive `Full` functor automatically
+-- Porting note: can't derive `Full` functor automatically
 instance forgetToPresheafedSpace_full : Full <| forgetToPresheafedSpace (C := C) where
   preimage f := f
 
--- Porting note : can't derive `Faithful` functor automatically
+-- Porting note: can't derive `Faithful` functor automatically
 instance forgetToPresheafedSpace_faithful : Faithful <| forgetToPresheafedSpace (C := C) where
 
 instance is_presheafedSpace_iso {X Y : SheafedSpace C} (f : X ⟶ Y) [IsIso f] :

f384f5d1

chore: move (locally) ringed spaces out of AlgebraicGeometry (#7330)

Create new folder Geometry.RingedSpace for (locally) ringed spaces and move about half of the contents of AlgebraicGeometry there. Files renamed:

AlgebraicGeometry.OpenImmersion.Scheme → AlgebraicGeometry.OpenImmersion
AlgebraicGeometry.RingedSpace → Geometry.RingedSpace.Basic
AlgebraicGeometry.LocallyRingedSpace → Geometry.RingedSpace.LocallyRingedSpace
AlgebraicGeometry.LocallyRingedSpace.HasColimits → Geometry.RingedSpace.LocallyRingedSpace.HasColimits
AlgebraicGeometry.OpenImmersion.Basic → Geometry.RingedSpace.OpenImmersion
AlgebraicGeometry.PresheafedSpace → Geometry.RingedSpace.PresheafedSpace
AlgebraicGeometry.PresheafedSpace.Gluing → Geometry.RingedSpace.PresheafedSpace.Gluing
AlgebraicGeometry.PresheafedSpace.HasColimits → Geometry.RingedSpace.PresheafedSpace.HasColimits
AlgebraicGeometry.SheafedSpace → Geometry.RingedSpace.SheafedSpace
AlgebraicGeometry.Stalks → Geometry.RingedSpace.Stalks

See Zulip.

8276aae1

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathlib.AlgebraicGeometry.PresheafedSpace.HasColimits
+import Mathlib.Geometry.RingedSpace.PresheafedSpace.HasColimits
 import Mathlib.Topology.Sheaves.Functors
 
 #align_import algebraic_geometry.sheafed_space from "leanprover-community/mathlib"@"f384f5d1a4e39f36817b8d22afff7b52af8121d1"

f384f5d1

chore: only four spaces for subsequent lines (#7286)

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

0c7d6fa5

Diff

@@ -67,9 +67,9 @@ set_option linter.uppercaseLean3 false in
 -- Porting note : this gives a `simpVarHead` error (`LEFT-HAND SIDE HAS VARIABLE AS HEAD SYMBOL.`).
 -- so removed @[simp]
 theorem mk_coe (carrier) (presheaf) (h) :
-  (({ carrier
-      presheaf
-      IsSheaf := h } : SheafedSpace C) : TopCat) = carrier :=
+    (({ carrier
+        presheaf
+        IsSheaf := h } : SheafedSpace C) : TopCat) = carrier :=
   rfl
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.mk_coe AlgebraicGeometry.SheafedSpace.mk_coe

f384f5d1

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -21,7 +21,7 @@ presheaves.
 open CategoryTheory TopCat TopologicalSpace Opposite CategoryTheory.Limits CategoryTheory.Category
   CategoryTheory.Functor
 
-variable (C : Type _) [Category C]
+variable (C : Type*) [Category C]
 
 -- Porting note: removed
 -- local attribute [tidy] tactic.op_induction'
@@ -48,7 +48,7 @@ instance coeCarrier : CoeOut (SheafedSpace C) TopCat where coe X := X.carrier
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
 
-instance coeSort : CoeSort (SheafedSpace C) (Type _) where
+instance coeSort : CoeSort (SheafedSpace C) (Type*) where
   coe := fun X => X.1
 
 /-- Extract the `sheaf C (X : Top)` from a `SheafedSpace C`. -/

f384f5d1

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebraic_geometry.sheafed_space
-! leanprover-community/mathlib commit f384f5d1a4e39f36817b8d22afff7b52af8121d1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicGeometry.PresheafedSpace.HasColimits
 import Mathlib.Topology.Sheaves.Functors
 
+#align_import algebraic_geometry.sheafed_space from "leanprover-community/mathlib"@"f384f5d1a4e39f36817b8d22afff7b52af8121d1"
+
 /-!
 # Sheafed spaces

f384f5d1

feat: port AlgebraicGeometry.Gluing (#5446)

Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com>

b62dfca8

Diff

@@ -101,6 +101,7 @@ theorem ext {X Y : SheafedSpace C} (α β : X ⟶ Y) (w : α.base = β.base)
   PresheafedSpace.ext α β w h
 
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
+@[simps! obj map]
 def forgetToPresheafedSpace : SheafedSpace C ⥤ PresheafedSpace C :=
   inducedFunctor _
 set_option linter.uppercaseLean3 false in

f384f5d1

feat: port AlgebraicGeometry.LocallyRingedSpace.HasColimits (#5260)

07d42215

Diff

@@ -51,6 +51,9 @@ instance coeCarrier : CoeOut (SheafedSpace C) TopCat where coe X := X.carrier
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
 
+instance coeSort : CoeSort (SheafedSpace C) (Type _) where
+  coe := fun X => X.1
+
 /-- Extract the `sheaf C (X : Top)` from a `SheafedSpace C`. -/
 def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat) :=
   ⟨X.presheaf, X.IsSheaf⟩

f384f5d1

feat: more consistent use of ext, and updating porting notes. (#5242)

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

dbae2f17

Diff

@@ -90,6 +90,13 @@ instance : Category (SheafedSpace C) :=
   show Category (InducedCategory (PresheafedSpace C) SheafedSpace.toPresheafedSpace) by
     infer_instance
 
+-- Porting note: adding an ext lemma.
+-- See https://github.com/leanprover-community/mathlib4/issues/5229
+@[ext]
+theorem ext {X Y : SheafedSpace C} (α β : X ⟶ Y) (w : α.base = β.base)
+    (h : α.c ≫ whiskerRight (eqToHom (by rw [w])) _ = β.c) : α = β :=
+  PresheafedSpace.ext α β w h
+
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
 def forgetToPresheafedSpace : SheafedSpace C ⥤ PresheafedSpace C :=
   inducedFunctor _

f384f5d1

feat: relax universe constraint in AlgebraicGeometry/SheafedSpace and AlgebraicGeometry/RingedSpace (#5047)

8183aac8

Diff

@@ -21,13 +21,10 @@ We further describe how to apply functors and natural transformations to the val
 presheaves.
 -/
 
-
-universe v u
-
 open CategoryTheory TopCat TopologicalSpace Opposite CategoryTheory.Limits CategoryTheory.Category
   CategoryTheory.Functor
 
-variable (C : Type u) [Category.{v} C]
+variable (C : Type _) [Category C]
 
 -- Porting note: removed
 -- local attribute [tidy] tactic.op_induction'
@@ -39,7 +36,7 @@ variable (C : Type u) [Category.{v} C]
 namespace AlgebraicGeometry
 
 /-- A `SheafedSpace C` is a topological space equipped with a sheaf of `C`s. -/
-structure SheafedSpace extends PresheafedSpace.{_, _, v} C where
+structure SheafedSpace extends PresheafedSpace C where
   /-- A sheafed space is presheafed space which happens to be sheaf. -/
   IsSheaf : presheaf.IsSheaf
 set_option linter.uppercaseLean3 false in
@@ -55,14 +52,14 @@ set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.coe_carrier AlgebraicGeometry.SheafedSpace.coeCarrier
 
 /-- Extract the `sheaf C (X : Top)` from a `SheafedSpace C`. -/
-def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat.{v}) :=
+def sheaf (X : SheafedSpace C) : Sheaf C (X : TopCat) :=
   ⟨X.presheaf, X.IsSheaf⟩
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.sheaf AlgebraicGeometry.SheafedSpace.sheaf
 
 -- Porting note : this is a syntactic tautology, so removed
 -- @[simp]
--- theorem as_coe (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
+-- theorem as_coe (X : SheafedSpace C) : X.carrier = (X : TopCat) :=
 --   rfl
 -- set_option linter.uppercaseLean3 false in
 #noalign algebraic_geometry.SheafedSpace.as_coe
@@ -72,12 +69,12 @@ set_option linter.uppercaseLean3 false in
 theorem mk_coe (carrier) (presheaf) (h) :
   (({ carrier
       presheaf
-      IsSheaf := h } : SheafedSpace.{v} C) : TopCat.{v}) = carrier :=
+      IsSheaf := h } : SheafedSpace C) : TopCat) = carrier :=
   rfl
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.mk_coe AlgebraicGeometry.SheafedSpace.mk_coe
 
-instance (X : SheafedSpace.{v} C) : TopologicalSpace X :=
+instance (X : SheafedSpace C) : TopologicalSpace X :=
   X.carrier.str
 
 /-- The trivial `unit` valued sheaf on any topological space. -/
@@ -90,11 +87,11 @@ instance : Inhabited (SheafedSpace (Discrete Unit)) :=
   ⟨unit (TopCat.of PEmpty)⟩
 
 instance : Category (SheafedSpace C) :=
-  show Category (InducedCategory (PresheafedSpace.{_, _, v} C) SheafedSpace.toPresheafedSpace) by
+  show Category (InducedCategory (PresheafedSpace C) SheafedSpace.toPresheafedSpace) by
     infer_instance
 
 /-- Forgetting the sheaf condition is a functor from `SheafedSpace C` to `PresheafedSpace C`. -/
-def forgetToPresheafedSpace : SheafedSpace.{v} C ⥤ PresheafedSpace.{_, _, v} C :=
+def forgetToPresheafedSpace : SheafedSpace C ⥤ PresheafedSpace C :=
   inducedFunctor _
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.forget_to_PresheafedSpace AlgebraicGeometry.SheafedSpace.forgetToPresheafedSpace
@@ -106,7 +103,7 @@ instance forgetToPresheafedSpace_full : Full <| forgetToPresheafedSpace (C := C)
 -- Porting note : can't derive `Faithful` functor automatically
 instance forgetToPresheafedSpace_faithful : Faithful <| forgetToPresheafedSpace (C := C) where
 
-instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :
+instance is_presheafedSpace_iso {X Y : SheafedSpace C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=
   SheafedSpace.forgetToPresheafedSpace.map_isIso f
 set_option linter.uppercaseLean3 false in
@@ -117,7 +114,7 @@ section
 attribute [local simp] id comp
 
 @[simp]
-theorem id_base (X : SheafedSpace C) : (𝟙 X : X ⟶ X).base = 𝟙 (X : TopCat.{v}) :=
+theorem id_base (X : SheafedSpace C) : (𝟙 X : X ⟶ X).base = 𝟙 (X : TopCat) :=
   rfl
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.id_base AlgebraicGeometry.SheafedSpace.id_base
@@ -165,7 +162,7 @@ variable (C)
 
 /-- The forgetful functor from `SheafedSpace` to `Top`. -/
 def forget : SheafedSpace C ⥤ TopCat where
-  obj X := (X : TopCat.{v})
+  obj X := (X : TopCat)
   map {X Y} f := f.base
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.forget AlgebraicGeometry.SheafedSpace.forget
@@ -176,7 +173,7 @@ open TopCat.Presheaf
 
 /-- The restriction of a sheafed space along an open embedding into the space.
 -/
-def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat.{v})} (h : OpenEmbedding f) :
+def restrict {U : TopCat} (X : SheafedSpace C) {f : U ⟶ (X : TopCat)} (h : OpenEmbedding f) :
     SheafedSpace C :=
   { X.toPresheafedSpace.restrict h with IsSheaf := isSheaf_of_openEmbedding h X.IsSheaf }
 set_option linter.uppercaseLean3 false in

f384f5d1

chore: clean up porting notes about op_induction (#5035)

Closes #4551.

Essentially op_induction is not necessary, now that Opposite.rec' is labelled with @[eliminator]. It would be nice if we could use this from inside aesop, see https://github.com/JLimperg/aesop/issues/59.

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

9558b65f

Diff

@@ -33,7 +33,8 @@ variable (C : Type u) [Category.{v} C]
 -- local attribute [tidy] tactic.op_induction'
 -- as it isn't needed here. If it is useful elsewhere
 -- attribute [local aesop safe cases (rule_sets [CategoryTheory])] Opposite
--- should suffice.
+-- should suffice, but may need
+-- https://github.com/JLimperg/aesop/issues/59
 
 namespace AlgebraicGeometry

f384f5d1

refactor: fixes to material on sheaves and stalks (#4571)

Mostly this is installing the Opposite.rec' induction principle as the default @[eliminator], but also many other fixes and removing unnecessary steps from proofs.

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

eb679e02

Diff

@@ -29,7 +29,11 @@ open CategoryTheory TopCat TopologicalSpace Opposite CategoryTheory.Limits Categ
 
 variable (C : Type u) [Category.{v} C]
 
--- attribute [local tidy] tactic.op_induction'
+-- Porting note: removed
+-- local attribute [tidy] tactic.op_induction'
+-- as it isn't needed here. If it is useful elsewhere
+-- attribute [local aesop safe cases (rule_sets [CategoryTheory])] Opposite
+-- should suffice.
 
 namespace AlgebraicGeometry
 
@@ -100,7 +104,6 @@ instance forgetToPresheafedSpace_full : Full <| forgetToPresheafedSpace (C := C)
 
 -- Porting note : can't derive `Faithful` functor automatically
 instance forgetToPresheafedSpace_faithful : Faithful <| forgetToPresheafedSpace (C := C) where
-  map_injective h := h
 
 instance is_presheafedSpace_iso {X Y : SheafedSpace.{v} C} (f : X ⟶ Y) [IsIso f] :
     @IsIso (PresheafedSpace C) _ _ _ f :=
@@ -126,12 +129,8 @@ set_option linter.uppercaseLean3 false in
 
 @[simp]
 theorem id_c_app (X : SheafedSpace C) (U) :
-    (𝟙 X : X ⟶ X).c.app U =
-    eqToHom (by induction U using Opposite.rec' with | h U => ?_; cases U; rfl) := by
-  induction U using Opposite.rec' with | h U => ?_
-  cases U
-  simp only [id_c]
-  rw [eqToHom_app]
+    (𝟙 X : X ⟶ X).c.app U = eqToHom (by aesop_cat) := by
+  aesop_cat
 set_option linter.uppercaseLean3 false in
 #align algebraic_geometry.SheafedSpace.id_c_app AlgebraicGeometry.SheafedSpace.id_c_app
 
@@ -233,7 +232,7 @@ noncomputable instance [HasLimits C] :
         (colimit.isoColimitCocone ⟨_, PresheafedSpace.colimitCoconeIsColimit _⟩).symm⟩⟩
 
 instance [HasLimits C] : HasColimits (SheafedSpace C) :=
-  has_colimits_of_has_colimits_creates_colimits forgetToPresheafedSpace
+  hasColimits_of_hasColimits_createsColimits forgetToPresheafedSpace
 
 noncomputable instance [HasLimits C] : PreservesColimits (forget C) :=
   Limits.compPreservesColimits forgetToPresheafedSpace (PresheafedSpace.forget C)

f384f5d1

chore: tidy various files (#4423)

9f94180e

Diff

@@ -24,17 +24,8 @@ presheaves.
 
 universe v u
 
-open CategoryTheory
-
-open TopCat
-
-open TopologicalSpace
-
-open Opposite
-
-open CategoryTheory.Limits
-
-open CategoryTheory.Category CategoryTheory.Functor
+open CategoryTheory TopCat TopologicalSpace Opposite CategoryTheory.Limits CategoryTheory.Category
+  CategoryTheory.Functor
 
 variable (C : Type u) [Category.{v} C]
 
@@ -69,7 +60,7 @@ set_option linter.uppercaseLean3 false in
 -- theorem as_coe (X : SheafedSpace.{v} C) : X.carrier = (X : TopCat.{v}) :=
 --   rfl
 -- set_option linter.uppercaseLean3 false in
--- #align algebraic_geometry.SheafedSpace.as_coe AlgebraicGeometry.SheafedSpace.as_coe
+#noalign algebraic_geometry.SheafedSpace.as_coe
 
 -- Porting note : this gives a `simpVarHead` error (`LEFT-HAND SIDE HAS VARIABLE AS HEAD SYMBOL.`).
 -- so removed @[simp]

f384f5d1

feat: port AlgebraicGeometry.SheafedSpace (#4405)

cff244bf

`algebraic_geometry.sheafed_space` ⟷ `Mathlib.Geometry.RingedSpace.SheafedSpace`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 774

algebraic_geometry.sheafed_space ⟷ Mathlib.Geometry.RingedSpace.SheafedSpace

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 774

`algebraic_geometry.sheafed_space` ⟷ `Mathlib.Geometry.RingedSpace.SheafedSpace`