topology.sheaves.presheaf_of_functions

(last sync)

chore(topology/sheaves): revert universe generalizations from #19153 (#19230)

This reverts commit 13361559.

These are just too difficult to forward port as is because of the max u v =?= max u ?v issue https://github.com/leanprover/lean4/issues/2297.

We have another candidate approach to this, using a new UnivLE typeclass, and I would prefer if we investigated that without the pressure of the port at the same time.

This will delay @hrmacbeth's plans to define meromorphic functions, perhaps.

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

Diff

@@ -28,7 +28,7 @@ We construct some simple examples of presheaves of functions on a topological sp
   is the presheaf of rings of continuous complex-valued functions on `X`.
 -/
 
-universes v u w
+universes v u
 
 open category_theory
 open topological_space
@@ -42,7 +42,7 @@ variables (X : Top.{v})
 The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheaf_to_Types (T : X → Type w) : X.presheaf (Type (max v w)) :=
+def presheaf_to_Types (T : X → Type v) : X.presheaf (Type v) :=
 { obj := λ U, Π x : (unop U), T x,
   map := λ U V i g, λ (x : unop V), g (i.unop x),
   map_id' := λ U, by { ext g ⟨x, hx⟩, refl },
@@ -68,7 +68,7 @@ There is no requirement that the functions are continuous, here.
 -- We don't use `@[simps]` to generate the projection lemmas here,
 -- as it turns out to be useful to have `presheaf_to_Type_map`
 -- written as an equality of functions (rather than being applied to some argument).
-def presheaf_to_Type (T : Type w) : X.presheaf (Type max v w) :=
+def presheaf_to_Type (T : Type v) : X.presheaf (Type v) :=
 { obj := λ U, (unop U) → T,
   map := λ U V i g, g ∘ i.unop,
   map_id' := λ U, by { ext g ⟨x, hx⟩, refl },
@@ -86,8 +86,6 @@ rfl
 
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
--- TODO it may prove useful to generalize the universes here,
--- but the definition would need to change.
 def presheaf_to_Top (T : Top.{v}) : X.presheaf (Type v) :=
 (opens.to_Top X).op ⋙ (yoneda.obj T)

chore(topology/sheaves/*): universe generalizations (#19153)

Necessary but sadly insufficient for the request at https://leanprover.zulipchat.com/#narrow/stream/144837-PR-reviews/topic/.2319146.20sheaves.20on.20manifolds

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

Diff

@@ -28,7 +28,7 @@ We construct some simple examples of presheaves of functions on a topological sp
   is the presheaf of rings of continuous complex-valued functions on `X`.
 -/
 
-universes v u
+universes v u w
 
 open category_theory
 open topological_space
@@ -42,7 +42,7 @@ variables (X : Top.{v})
 The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheaf_to_Types (T : X → Type v) : X.presheaf (Type v) :=
+def presheaf_to_Types (T : X → Type w) : X.presheaf (Type (max v w)) :=
 { obj := λ U, Π x : (unop U), T x,
   map := λ U V i g, λ (x : unop V), g (i.unop x),
   map_id' := λ U, by { ext g ⟨x, hx⟩, refl },
@@ -68,7 +68,7 @@ There is no requirement that the functions are continuous, here.
 -- We don't use `@[simps]` to generate the projection lemmas here,
 -- as it turns out to be useful to have `presheaf_to_Type_map`
 -- written as an equality of functions (rather than being applied to some argument).
-def presheaf_to_Type (T : Type v) : X.presheaf (Type v) :=
+def presheaf_to_Type (T : Type w) : X.presheaf (Type max v w) :=
 { obj := λ U, (unop U) → T,
   map := λ U V i g, g ∘ i.unop,
   map_id' := λ U, by { ext g ⟨x, hx⟩, refl },
@@ -86,6 +86,8 @@ rfl
 
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
+-- TODO it may prove useful to generalize the universes here,
+-- but the definition would need to change.
 def presheaf_to_Top (T : Top.{v}) : X.presheaf (Type v) :=
 (opens.to_Top X).op ⋙ (yoneda.obj T)

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -5,7 +5,7 @@ Authors: Scott Morrison
 -/
 import CategoryTheory.Yoneda
 import Topology.Sheaves.Presheaf
-import Topology.Category.TopCommRing
+import Topology.Category.TopCommRingCat
 import Topology.ContinuousFunction.Algebra
 
 #align_import topology.sheaves.presheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ 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.CategoryTheory.Yoneda
-import Mathbin.Topology.Sheaves.Presheaf
-import Mathbin.Topology.Category.TopCommRing
-import Mathbin.Topology.ContinuousFunction.Algebra
+import CategoryTheory.Yoneda
+import Topology.Sheaves.Presheaf
+import Topology.Category.TopCommRing
+import Topology.ContinuousFunction.Algebra
 
 #align_import topology.sheaves.presheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"

bump to nightly-2023-08-17-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

60285dcc

Diff

@@ -157,7 +157,7 @@ def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
   map_one' := by ext <;> exact φ.1.map_one
   map_zero' := by ext <;> exact φ.1.map_zero
   map_add' := by intros <;> ext <;> apply φ.1.map_add
-  map_mul' := by intros <;> ext <;> apply φ.1.map_mul
+  map_mul' := by intros <;> ext <;> apply φ.1.map_hMul
 #align Top.continuous_functions.map TopCat.continuousFunctions.map
 -/

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Yoneda
 import Mathbin.Topology.Sheaves.Presheaf
 import Mathbin.Topology.Category.TopCommRing
 import Mathbin.Topology.ContinuousFunction.Algebra
 
+#align_import topology.sheaves.presheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"
+
 /-!
 # Presheaves of functions

bump to nightly-2023-07-05-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/5dc6092d09e5e489106865241986f7f2ad28d4c8

3fd81375

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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 13361559d66b84f80b6d5a1c4a26aa5054766725
+! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -34,7 +34,7 @@ We construct some simple examples of presheaves of functions on a topological sp
 -/
 
 
-universe v u w
+universe v u
 
 open CategoryTheory
 
@@ -50,7 +50,7 @@ variable (X : TopCat.{v})
 /-- The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheafToTypes (T : X → Type w) : X.Presheaf (Type max v w)
+def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
     where
   obj U := ∀ x : unop U, T x
   map U V i g := fun x : unop V => g (i.unop x)
@@ -85,7 +85,7 @@ theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U 
 /-- The presheaf of functions on `X` with values in a type `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheafToType (T : Type w) : X.Presheaf (Type max v w)
+def presheafToType (T : Type v) : X.Presheaf (Type v)
     where
   obj U := unop U → T
   map U V i g := g ∘ i.unop
@@ -111,8 +111,6 @@ theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f
 -/
 
 #print TopCat.presheafToTop /-
--- TODO it may prove useful to generalize the universes here,
--- but the definition would need to change.
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
 def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=

bump to nightly-2023-06-20-01

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

9b351f8c

Diff

@@ -54,7 +54,7 @@ def presheafToTypes (T : X → Type w) : X.Presheaf (Type max v w)
     where
   obj U := ∀ x : unop U, T x
   map U V i g := fun x : unop V => g (i.unop x)
-  map_id' U := by ext (g⟨x, hx⟩); rfl
+  map_id' U := by ext g ⟨x, hx⟩; rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Types TopCat.presheafToTypes
 -/
@@ -89,7 +89,7 @@ def presheafToType (T : Type w) : X.Presheaf (Type max v w)
     where
   obj U := unop U → T
   map U V i g := g ∘ i.unop
-  map_id' U := by ext (g⟨x, hx⟩); rfl
+  map_id' U := by ext g ⟨x, hx⟩; rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Type TopCat.presheafToType
 -/

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -46,6 +46,7 @@ namespace TopCat
 
 variable (X : TopCat.{v})
 
+#print TopCat.presheafToTypes /-
 /-- The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
@@ -56,19 +57,25 @@ def presheafToTypes (T : X → Type w) : X.Presheaf (Type max v w)
   map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Types TopCat.presheafToTypes
+-/
 
+#print TopCat.presheafToTypes_obj /-
 @[simp]
 theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToTypes X T).obj U = ∀ x : unop U, T x :=
   rfl
 #align Top.presheaf_to_Types_obj TopCat.presheafToTypes_obj
+-/
 
+#print TopCat.presheafToTypes_map /-
 @[simp]
 theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToTypes X T).map i f = fun x => f (i.unop x) :=
   rfl
 #align Top.presheaf_to_Types_map TopCat.presheafToTypes_map
+-/
 
+#print TopCat.presheafToType /-
 -- We don't just define this in terms of `presheaf_to_Types`,
 -- as it's helpful later to see (at a syntactic level) that `(presheaf_to_Type X T).obj U`
 -- is a non-dependent function.
@@ -85,18 +92,23 @@ def presheafToType (T : Type w) : X.Presheaf (Type max v w)
   map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Type TopCat.presheafToType
+-/
 
+#print TopCat.presheafToType_obj /-
 @[simp]
 theorem presheafToType_obj {T : Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToType X T).obj U = (unop U → T) :=
   rfl
 #align Top.presheaf_to_Type_obj TopCat.presheafToType_obj
+-/
 
+#print TopCat.presheafToType_map /-
 @[simp]
 theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToType X T).map i f = f ∘ i.unop :=
   rfl
 #align Top.presheaf_to_Type_map TopCat.presheafToType_map
+-/
 
 #print TopCat.presheafToTop /-
 -- TODO it may prove useful to generalize the universes here,
@@ -108,11 +120,13 @@ def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=
 #align Top.presheaf_to_Top TopCat.presheafToTop
 -/
 
+#print TopCat.presheafToTop_obj /-
 @[simp]
 theorem presheafToTop_obj (T : TopCat.{v}) (U : (Opens X)ᵒᵖ) :
     (presheafToTop X T).obj U = ((Opens.toTopCat X).obj (unop U) ⟶ T) :=
   rfl
 #align Top.presheaf_to_Top_obj TopCat.presheafToTop_obj
+-/
 
 #print TopCat.continuousFunctions /-
 -- TODO upgrade the result to TopCommRing?
@@ -138,6 +152,7 @@ def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRingCat) :
 #align Top.continuous_functions.pullback TopCat.continuousFunctions.pullback
 -/
 
+#print TopCat.continuousFunctions.map /-
 /-- A homomorphism of topological rings can be postcomposed with functions from a source space `X`;
 this is a ring homomorphism (with respect to the pointwise ring operations on functions). -/
 def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
@@ -149,9 +164,11 @@ def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
   map_add' := by intros <;> ext <;> apply φ.1.map_add
   map_mul' := by intros <;> ext <;> apply φ.1.map_mul
 #align Top.continuous_functions.map TopCat.continuousFunctions.map
+-/
 
 end ContinuousFunctions
 
+#print TopCat.commRingYoneda /-
 /-- An upgraded version of the Yoneda embedding, observing that the continuous maps
 from `X : Top` to `R : TopCommRing` form a commutative ring, functorial in both `X` and `R`. -/
 def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
@@ -167,6 +184,7 @@ def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
   map_id' X := by ext; rfl
   map_comp' X Y Z f g := rfl
 #align Top.CommRing_yoneda TopCat.commRingYoneda
+-/
 
 #print TopCat.presheafToTopCommRing /-
 /-- The presheaf (of commutative rings), consisting of functions on an open set `U ⊆ X` with

bump to nightly-2023-06-05-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725

0a33716c

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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
+! leanprover-community/mathlib commit 13361559d66b84f80b6d5a1c4a26aa5054766725
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -34,7 +34,7 @@ We construct some simple examples of presheaves of functions on a topological sp
 -/
 
 
-universe v u
+universe v u w
 
 open CategoryTheory
 
@@ -46,18 +46,16 @@ namespace TopCat
 
 variable (X : TopCat.{v})
 
-#print TopCat.presheafToTypes /-
 /-- The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
+def presheafToTypes (T : X → Type w) : X.Presheaf (Type max v w)
     where
   obj U := ∀ x : unop U, T x
   map U V i g := fun x : unop V => g (i.unop x)
   map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Types TopCat.presheafToTypes
--/
 
 @[simp]
 theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
@@ -71,7 +69,6 @@ theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U 
   rfl
 #align Top.presheaf_to_Types_map TopCat.presheafToTypes_map
 
-#print TopCat.presheafToType /-
 -- We don't just define this in terms of `presheaf_to_Types`,
 -- as it's helpful later to see (at a syntactic level) that `(presheaf_to_Type X T).obj U`
 -- is a non-dependent function.
@@ -81,14 +78,13 @@ theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U 
 /-- The presheaf of functions on `X` with values in a type `T`.
 There is no requirement that the functions are continuous, here.
 -/
-def presheafToType (T : Type v) : X.Presheaf (Type v)
+def presheafToType (T : Type w) : X.Presheaf (Type max v w)
     where
   obj U := unop U → T
   map U V i g := g ∘ i.unop
   map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Type TopCat.presheafToType
--/
 
 @[simp]
 theorem presheafToType_obj {T : Type v} {U : (Opens X)ᵒᵖ} :
@@ -103,6 +99,8 @@ theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f
 #align Top.presheaf_to_Type_map TopCat.presheafToType_map
 
 #print TopCat.presheafToTop /-
+-- TODO it may prove useful to generalize the universes here,
+-- but the definition would need to change.
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
 def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -59,18 +59,12 @@ def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
 #align Top.presheaf_to_Types TopCat.presheafToTypes
 -/
 
-/- warning: Top.presheaf_to_Types_obj -> TopCat.presheafToTypes_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_obj TopCat.presheafToTypes_objₓ'. -/
 @[simp]
 theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToTypes X T).obj U = ∀ x : unop U, T x :=
   rfl
 #align Top.presheaf_to_Types_obj TopCat.presheafToTypes_obj
 
-/- warning: Top.presheaf_to_Types_map -> TopCat.presheafToTypes_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_map TopCat.presheafToTypes_mapₓ'. -/
 @[simp]
 theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToTypes X T).map i f = fun x => f (i.unop x) :=
@@ -96,21 +90,12 @@ def presheafToType (T : Type v) : X.Presheaf (Type v)
 #align Top.presheaf_to_Type TopCat.presheafToType
 -/
 
-/- warning: Top.presheaf_to_Type_obj -> TopCat.presheafToType_obj is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Type_obj TopCat.presheafToType_objₓ'. -/
 @[simp]
 theorem presheafToType_obj {T : Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToType X T).obj U = (unop U → T) :=
   rfl
 #align Top.presheaf_to_Type_obj TopCat.presheafToType_obj
 
-/- warning: Top.presheaf_to_Type_map -> TopCat.presheafToType_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Type_map TopCat.presheafToType_mapₓ'. -/
 @[simp]
 theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToType X T).map i f = f ∘ i.unop :=
@@ -125,12 +110,6 @@ def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=
 #align Top.presheaf_to_Top TopCat.presheafToTop
 -/
 
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-Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Top_obj TopCat.presheafToTop_objₓ'. -/
 @[simp]
 theorem presheafToTop_obj (T : TopCat.{v}) (U : (Opens X)ᵒᵖ) :
     (presheafToTop X T).obj U = ((Opens.toTopCat X).obj (unop U) ⟶ T) :=
@@ -161,12 +140,6 @@ def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRingCat) :
 #align Top.continuous_functions.pullback TopCat.continuousFunctions.pullback
 -/
 
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-Case conversion may be inaccurate. Consider using '#align Top.continuous_functions.map TopCat.continuousFunctions.mapₓ'. -/
 /-- A homomorphism of topological rings can be postcomposed with functions from a source space `X`;
 this is a ring homomorphism (with respect to the pointwise ring operations on functions). -/
 def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
@@ -181,12 +154,6 @@ def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
 
 end ContinuousFunctions
 
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 /-- An upgraded version of the Yoneda embedding, observing that the continuous maps
 from `X : Top` to `R : TopCommRing` form a commutative ring, functorial in both `X` and `R`. -/
 def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -54,9 +54,7 @@ def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
     where
   obj U := ∀ x : unop U, T x
   map U V i g := fun x : unop V => g (i.unop x)
-  map_id' U := by
-    ext (g⟨x, hx⟩)
-    rfl
+  map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Types TopCat.presheafToTypes
 -/
@@ -93,9 +91,7 @@ def presheafToType (T : Type v) : X.Presheaf (Type v)
     where
   obj U := unop U → T
   map U V i g := g ∘ i.unop
-  map_id' U := by
-    ext (g⟨x, hx⟩)
-    rfl
+  map_id' U := by ext (g⟨x, hx⟩); rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Type TopCat.presheafToType
 -/
@@ -198,16 +194,12 @@ def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
   obj R :=
     { obj := fun X => continuousFunctions X R
       map := fun X Y f => continuousFunctions.pullback f R
-      map_id' := fun X => by
-        ext
-        rfl
+      map_id' := fun X => by ext; rfl
       map_comp' := fun X Y Z f g => rfl }
   map R S φ :=
     { app := fun X => continuousFunctions.map X φ
       naturality' := fun X Y f => rfl }
-  map_id' X := by
-    ext
-    rfl
+  map_id' X := by ext; rfl
   map_comp' X Y Z f g := rfl
 #align Top.CommRing_yoneda TopCat.commRingYoneda

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -62,10 +62,7 @@ def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_obj TopCat.presheafToTypes_objₓ'. -/
 @[simp]
 theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
@@ -74,10 +71,7 @@ theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
 #align Top.presheaf_to_Types_obj TopCat.presheafToTypes_obj
 
 /- warning: Top.presheaf_to_Types_map -> TopCat.presheafToTypes_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_map TopCat.presheafToTypes_mapₓ'. -/
 @[simp]
 theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
@@ -119,10 +113,7 @@ theorem presheafToType_obj {T : Type v} {U : (Opens X)ᵒᵖ} :
 #align Top.presheaf_to_Type_obj TopCat.presheafToType_obj
 
 /- warning: Top.presheaf_to_Type_map -> TopCat.presheafToType_map is a dubious translation:
-lean 3 declaration is
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(Prefunctor.map.{succ u1, succ u1, u1, succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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CategoryTheory.types.{u1} (TopCat.presheafToType.{u1} X T)) U V i f) (Function.comp.{succ u1, succ u1, succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) V))) 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(CompleteLattice.instOmegaCompletePartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U V i) x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Type_map TopCat.presheafToType_mapₓ'. -/
 @[simp]
 theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :

bump to nightly-2023-05-21-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

7b1466d5

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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 6c31dd6563a3745bf8e0b80bdd077167583ebb8f
+! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Topology.ContinuousFunction.Algebra
 /-!
 # Presheaves of functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We construct some simple examples of presheaves of functions on a topological space.
 * `presheaf_to_Types X T`, where `T : X → Type`,
   is the presheaf of dependently-typed (not-necessarily continuous) functions

bump to nightly-2023-05-19-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

6fa34277

Diff

@@ -43,6 +43,7 @@ namespace TopCat
 
 variable (X : TopCat.{v})
 
+#print TopCat.presheafToTypes /-
 /-- The presheaf of dependently typed functions on `X`, with fibres given by a type family `T`.
 There is no requirement that the functions are continuous, here.
 -/
@@ -55,19 +56,33 @@ def presheafToTypes (T : X → Type v) : X.Presheaf (Type v)
     rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Types TopCat.presheafToTypes
+-/
 
+/- warning: Top.presheaf_to_Types_obj -> TopCat.presheafToTypes_obj is a dubious translation:
+lean 3 declaration is
+  forall (X : TopCat.{u1}) {T : (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) -> Type.{u1}} {U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))}, Eq.{succ (succ u1)} Type.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} 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+Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_obj TopCat.presheafToTypes_objₓ'. -/
 @[simp]
 theorem presheafToTypes_obj {T : X → Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToTypes X T).obj U = ∀ x : unop U, T x :=
   rfl
 #align Top.presheaf_to_Types_obj TopCat.presheafToTypes_obj
 
+/- warning: Top.presheaf_to_Types_map -> TopCat.presheafToTypes_map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Types_map TopCat.presheafToTypes_mapₓ'. -/
 @[simp]
 theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToTypes X T).map i f = fun x => f (i.unop x) :=
   rfl
 #align Top.presheaf_to_Types_map TopCat.presheafToTypes_map
 
+#print TopCat.presheafToType /-
 -- We don't just define this in terms of `presheaf_to_Types`,
 -- as it's helpful later to see (at a syntactic level) that `(presheaf_to_Type X T).obj U`
 -- is a non-dependent function.
@@ -86,40 +101,64 @@ def presheafToType (T : Type v) : X.Presheaf (Type v)
     rfl
   map_comp' U V W i j := rfl
 #align Top.presheaf_to_Type TopCat.presheafToType
+-/
 
+/- warning: Top.presheaf_to_Type_obj -> TopCat.presheafToType_obj 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.presheaf_to_Type_obj TopCat.presheafToType_objₓ'. -/
 @[simp]
 theorem presheafToType_obj {T : Type v} {U : (Opens X)ᵒᵖ} :
     (presheafToType X T).obj U = (unop U → T) :=
   rfl
 #align Top.presheaf_to_Type_obj TopCat.presheafToType_obj
 
+/- warning: Top.presheaf_to_Type_map -> TopCat.presheafToType_map 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.presheaf_to_Type_map TopCat.presheafToType_mapₓ'. -/
 @[simp]
 theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f} :
     (presheafToType X T).map i f = f ∘ i.unop :=
   rfl
 #align Top.presheaf_to_Type_map TopCat.presheafToType_map
 
+#print TopCat.presheafToTop /-
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
 def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=
   (Opens.toTopCat X).op ⋙ yoneda.obj T
 #align Top.presheaf_to_Top TopCat.presheafToTop
+-/
 
+/- warning: Top.presheaf_to_Top_obj -> TopCat.presheafToTop_obj is a dubious translation:
+lean 3 declaration is
+  forall (X : TopCat.{u1}) (T : TopCat.{u1}) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))), Eq.{succ (succ u1)} Type.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) Type.{u1} CategoryTheory.types.{u1} (TopCat.presheafToTop.{u1} X T) U) (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)) T)
+but is expected to have type
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X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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+Case conversion may be inaccurate. Consider using '#align Top.presheaf_to_Top_obj TopCat.presheafToTop_objₓ'. -/
 @[simp]
 theorem presheafToTop_obj (T : TopCat.{v}) (U : (Opens X)ᵒᵖ) :
     (presheafToTop X T).obj U = ((Opens.toTopCat X).obj (unop U) ⟶ T) :=
   rfl
 #align Top.presheaf_to_Top_obj TopCat.presheafToTop_obj
 
+#print TopCat.continuousFunctions /-
 -- TODO upgrade the result to TopCommRing?
 /-- The (bundled) commutative ring of continuous functions from a topological space
 to a topological commutative ring, with pointwise multiplication. -/
 def continuousFunctions (X : TopCat.{v}ᵒᵖ) (R : TopCommRingCat.{v}) : CommRingCat.{v} :=
   CommRingCat.of (unop X ⟶ (forget₂ TopCommRingCat TopCat).obj R)
 #align Top.continuous_functions TopCat.continuousFunctions
+-/
 
 namespace ContinuousFunctions
 
+#print TopCat.continuousFunctions.pullback /-
 /-- Pulling back functions into a topological ring along a continuous map is a ring homomorphism. -/
 def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRingCat) :
     continuousFunctions X R ⟶ continuousFunctions Y R
@@ -130,7 +169,14 @@ def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRingCat) :
   map_add' := by tidy
   map_mul' := by tidy
 #align Top.continuous_functions.pullback TopCat.continuousFunctions.pullback
+-/
 
+/- warning: Top.continuous_functions.map -> TopCat.continuousFunctions.map is a dubious translation:
+lean 3 declaration is
+  forall (X : Opposite.{succ (succ u1)} TopCat.{u1}) {R : TopCommRingCat.{u1}} {S : TopCommRingCat.{u1}}, (Quiver.Hom.{succ u1, succ u1} TopCommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCommRingCat.{u1} TopCommRingCat.CategoryTheory.category.{u1})) R S) -> (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} CommRingCat.largeCategory.{u1})) (TopCat.continuousFunctions.{u1} X R) (TopCat.continuousFunctions.{u1} X S))
+but is expected to have type
+  forall (X : Opposite.{succ (succ u1)} TopCat.{u1}) {R : TopCommRingCat.{u1}} {S : TopCommRingCat.{u1}}, (Quiver.Hom.{succ u1, succ u1} TopCommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCommRingCat.{u1} TopCommRingCat.instCategoryTopCommRingCat.{u1})) R S) -> (Quiver.Hom.{succ u1, succ u1} CommRingCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} CommRingCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} CommRingCat.{u1} instCommRingCatLargeCategory.{u1})) (TopCat.continuousFunctions.{u1} X R) (TopCat.continuousFunctions.{u1} X S))
+Case conversion may be inaccurate. Consider using '#align Top.continuous_functions.map TopCat.continuousFunctions.mapₓ'. -/
 /-- A homomorphism of topological rings can be postcomposed with functions from a source space `X`;
 this is a ring homomorphism (with respect to the pointwise ring operations on functions). -/
 def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
@@ -145,6 +191,12 @@ def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
 
 end ContinuousFunctions
 
+/- warning: Top.CommRing_yoneda -> TopCat.commRingYoneda is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Functor.{u1, succ u1, succ u1, succ u1} TopCommRingCat.{u1} TopCommRingCat.CategoryTheory.category.{u1} (CategoryTheory.Functor.{u1, u1, succ u1, succ u1} (Opposite.{succ (succ u1)} TopCat.{u1}) (CategoryTheory.Category.opposite.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) CommRingCat.{u1} CommRingCat.largeCategory.{u1}) (CategoryTheory.Functor.category.{u1, u1, succ u1, succ u1} (Opposite.{succ (succ u1)} TopCat.{u1}) (CategoryTheory.Category.opposite.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) CommRingCat.{u1} CommRingCat.largeCategory.{u1})
+but is expected to have type
+  CategoryTheory.Functor.{u1, succ u1, succ u1, succ u1} TopCommRingCat.{u1} TopCommRingCat.instCategoryTopCommRingCat.{u1} (CategoryTheory.Functor.{u1, u1, succ u1, succ u1} (Opposite.{succ (succ u1)} TopCat.{u1}) (CategoryTheory.Category.opposite.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) CommRingCat.{u1} instCommRingCatLargeCategory.{u1}) (CategoryTheory.Functor.category.{u1, u1, succ u1, succ u1} (Opposite.{succ (succ u1)} TopCat.{u1}) (CategoryTheory.Category.opposite.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) CommRingCat.{u1} instCommRingCatLargeCategory.{u1})
+Case conversion may be inaccurate. Consider using '#align Top.CommRing_yoneda TopCat.commRingYonedaₓ'. -/
 /-- An upgraded version of the Yoneda embedding, observing that the continuous maps
 from `X : Top` to `R : TopCommRing` form a commutative ring, functorial in both `X` and `R`. -/
 def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
@@ -165,6 +217,7 @@ def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
   map_comp' X Y Z f g := rfl
 #align Top.CommRing_yoneda TopCat.commRingYoneda
 
+#print TopCat.presheafToTopCommRing /-
 /-- The presheaf (of commutative rings), consisting of functions on an open set `U ⊆ X` with
 values in some topological commutative ring `T`.
 
@@ -177,6 +230,7 @@ presheaf_to_TopCommRing X (TopCommRing.of ℂ)
 def presheafToTopCommRing (T : TopCommRingCat.{v}) : X.Presheaf CommRingCat.{v} :=
   (Opens.toTopCat X).op ⋙ commRingYoneda.obj T
 #align Top.presheaf_to_TopCommRing TopCat.presheafToTopCommRing
+-/
 
 end TopCat

bump to nightly-2023-05-18-12

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

f183e4b7

Diff

@@ -114,14 +114,14 @@ theorem presheafToTop_obj (T : TopCat.{v}) (U : (Opens X)ᵒᵖ) :
 -- TODO upgrade the result to TopCommRing?
 /-- The (bundled) commutative ring of continuous functions from a topological space
 to a topological commutative ring, with pointwise multiplication. -/
-def continuousFunctions (X : TopCat.{v}ᵒᵖ) (R : TopCommRing.{v}) : CommRingCat.{v} :=
-  CommRingCat.of (unop X ⟶ (forget₂ TopCommRing TopCat).obj R)
+def continuousFunctions (X : TopCat.{v}ᵒᵖ) (R : TopCommRingCat.{v}) : CommRingCat.{v} :=
+  CommRingCat.of (unop X ⟶ (forget₂ TopCommRingCat TopCat).obj R)
 #align Top.continuous_functions TopCat.continuousFunctions
 
 namespace ContinuousFunctions
 
 /-- Pulling back functions into a topological ring along a continuous map is a ring homomorphism. -/
-def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRing) :
+def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRingCat) :
     continuousFunctions X R ⟶ continuousFunctions Y R
     where
   toFun g := f.unop ≫ g
@@ -133,10 +133,10 @@ def pullback {X Y : TopCatᵒᵖ} (f : X ⟶ Y) (R : TopCommRing) :
 
 /-- A homomorphism of topological rings can be postcomposed with functions from a source space `X`;
 this is a ring homomorphism (with respect to the pointwise ring operations on functions). -/
-def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRing.{u}} (φ : R ⟶ S) :
+def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
     continuousFunctions X R ⟶ continuousFunctions X S
     where
-  toFun g := g ≫ (forget₂ TopCommRing TopCat).map φ
+  toFun g := g ≫ (forget₂ TopCommRingCat TopCat).map φ
   map_one' := by ext <;> exact φ.1.map_one
   map_zero' := by ext <;> exact φ.1.map_zero
   map_add' := by intros <;> ext <;> apply φ.1.map_add
@@ -147,7 +147,7 @@ end ContinuousFunctions
 
 /-- An upgraded version of the Yoneda embedding, observing that the continuous maps
 from `X : Top` to `R : TopCommRing` form a commutative ring, functorial in both `X` and `R`. -/
-def commRingYoneda : TopCommRing.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
+def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u}
     where
   obj R :=
     { obj := fun X => continuousFunctions X R
@@ -174,7 +174,7 @@ presheaf_to_TopCommRing X (TopCommRing.of ℂ)
 ```
 (this requires `import topology.instances.complex`).
 -/
-def presheafToTopCommRing (T : TopCommRing.{v}) : X.Presheaf CommRingCat.{v} :=
+def presheafToTopCommRing (T : TopCommRingCat.{v}) : X.Presheaf CommRingCat.{v} :=
   (Opens.toTopCat X).op ⋙ commRingYoneda.obj T
 #align Top.presheaf_to_TopCommRing TopCat.presheafToTopCommRing

bump to nightly-2023-04-27-04

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

8f775de7

Diff

@@ -102,12 +102,12 @@ theorem presheafToType_map {T : Type v} {U V : (Opens X)ᵒᵖ} {i : U ⟶ V} {f
 /-- The presheaf of continuous functions on `X` with values in fixed target topological space
 `T`. -/
 def presheafToTop (T : TopCat.{v}) : X.Presheaf (Type v) :=
-  (Opens.toTop X).op ⋙ yoneda.obj T
+  (Opens.toTopCat X).op ⋙ yoneda.obj T
 #align Top.presheaf_to_Top TopCat.presheafToTop
 
 @[simp]
 theorem presheafToTop_obj (T : TopCat.{v}) (U : (Opens X)ᵒᵖ) :
-    (presheafToTop X T).obj U = ((Opens.toTop X).obj (unop U) ⟶ T) :=
+    (presheafToTop X T).obj U = ((Opens.toTopCat X).obj (unop U) ⟶ T) :=
   rfl
 #align Top.presheaf_to_Top_obj TopCat.presheafToTop_obj
 
@@ -175,7 +175,7 @@ presheaf_to_TopCommRing X (TopCommRing.of ℂ)
 (this requires `import topology.instances.complex`).
 -/
 def presheafToTopCommRing (T : TopCommRing.{v}) : X.Presheaf CommRingCat.{v} :=
-  (Opens.toTop X).op ⋙ commRingYoneda.obj T
+  (Opens.toTopCat X).op ⋙ commRingYoneda.obj T
 #align Top.presheaf_to_TopCommRing TopCat.presheafToTopCommRing
 
 end TopCat

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

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

@@ -118,7 +118,7 @@ set_option linter.uppercaseLean3 false in
 /-- The (bundled) commutative ring of continuous functions from a topological space
 to a topological commutative ring, with pointwise multiplication. -/
 def continuousFunctions (X : TopCat.{v}ᵒᵖ) (R : TopCommRingCat.{v}) : CommRingCat.{v} :=
-  -- Porting note : Lean did not see through that `X.unop ⟶ R` is just continuous functions
+  -- Porting note: Lean did not see through that `X.unop ⟶ R` is just continuous functions
   -- hence forms a ring
   @CommRingCat.of (X.unop ⟶ (forget₂ TopCommRingCat TopCat).obj R) <|
   show CommRing (ContinuousMap _ _) by infer_instance
@@ -143,7 +143,7 @@ this is a ring homomorphism (with respect to the pointwise ring operations on fu
 def map (X : TopCat.{u}ᵒᵖ) {R S : TopCommRingCat.{u}} (φ : R ⟶ S) :
     continuousFunctions X R ⟶ continuousFunctions X S where
   toFun g := g ≫ (forget₂ TopCommRingCat TopCat).map φ
-  -- Porting note : `ext` tactic does not work, since Lean can't see through `R ⟶ S` is just
+  -- Porting note: `ext` tactic does not work, since Lean can't see through `R ⟶ S` is just
   -- continuous ring homomorphism
   map_one' := ContinuousMap.ext fun _ => φ.1.map_one
   map_zero' := ContinuousMap.ext fun _ => φ.1.map_zero

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

@@ -2,17 +2,14 @@
 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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Yoneda
 import Mathlib.Topology.Sheaves.Presheaf
 import Mathlib.Topology.Category.TopCommRingCat
 import Mathlib.Topology.ContinuousFunction.Algebra
 
+#align_import topology.sheaves.presheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"
+
 /-!
 # Presheaves of functions

chore: update SHAs after #19153 was reverted (#5712)

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

6c35041e

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 topology.sheaves.presheaf_of_functions
-! leanprover-community/mathlib commit 6c31dd6563a3745bf8e0b80bdd077167583ebb8f
+! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

chore: bump to nightly-2023-05-31 (#4530)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Alex J Best <alex.j.best@gmail.com>

01da6a3c

Diff

@@ -50,7 +50,7 @@ def presheafToTypes (T : X → Type v) : X.Presheaf (Type v) where
   obj U := ∀ x : U.unop, T x
   map {U V} i g := fun x : V.unop => g (i.unop x)
   map_id U := by
-    ext g ⟨x, hx⟩
+    ext g
     rfl
   map_comp {U V W} i j := rfl
 set_option linter.uppercaseLean3 false in
@@ -83,7 +83,7 @@ def presheafToType (T : Type v) : X.Presheaf (Type v) where
   obj U := U.unop → T
   map {U V} i g := g ∘ i.unop
   map_id U := by
-    ext (g⟨x, hx⟩)
+    ext g
     rfl
   map_comp {U V W} i j := rfl
 set_option linter.uppercaseLean3 false in

chore: tidy various files (#4304)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

8214f469

Diff

@@ -70,11 +70,11 @@ theorem presheafToTypes_map {T : X → Type v} {U V : (Opens X)ᵒᵖ} {i : U 
 set_option linter.uppercaseLean3 false in
 #align Top.presheaf_to_Types_map TopCat.presheafToTypes_map
 
--- We don't just define this in terms of `presheaf_to_Types`,
--- as it's helpful later to see (at a syntactic level) that `(presheaf_to_Type X T).obj U`
+-- We don't just define this in terms of `presheafToTypes`,
+-- as it's helpful later to see (at a syntactic level) that `(presheafToType X T).obj U`
 -- is a non-dependent function.
 -- We don't use `@[simps]` to generate the projection lemmas here,
--- as it turns out to be useful to have `presheaf_to_Type_map`
+-- as it turns out to be useful to have `presheafToType_map`
 -- written as an equality of functions (rather than being applied to some argument).
 /-- The presheaf of functions on `X` with values in a type `T`.
 There is no requirement that the functions are continuous, here.
@@ -183,9 +183,9 @@ values in some topological commutative ring `T`.
 
 For example, we could construct the presheaf of continuous complex valued functions of `X` as
 ```
-presheaf_to_TopCommRing X (TopCommRing.of ℂ)
+presheafToTopCommRing X (TopCommRing.of ℂ)
 ```
-(this requires `import topology.instances.complex`).
+(this requires `import Topology.Instances.Complex`).
 -/
 def presheafToTopCommRing (T : TopCommRingCat.{v}) : X.Presheaf CommRingCat.{v} :=
   (Opens.toTopCat X).op ⋙ commRingYoneda.obj T

chore: fix upper/lowercase in comments (#4360)

Run a non-interactive version of fix-comments.py on all files.
Go through the diff and manually add/discard/edit chunks.

27d257fc

Diff

@@ -21,7 +21,7 @@ We construct some simple examples of presheaves of functions on a topological sp
   is the presheaf of dependently-typed (not-necessarily continuous) functions
 * `presheafToType X T`, where `T : Type`,
   is the presheaf of (not-necessarily-continuous) functions to a fixed target type `T`
-* `presheafToTop X T`, where `T : Top`,
+* `presheafToTop X T`, where `T : TopCat`,
   is the presheaf of continuous functions into a topological space `T`
 * `presheafToTopCommRing X R`, where `R : TopCommRingCat`
   is the presheaf valued in `CommRing` of functions functions into a topological ring `R`
@@ -158,7 +158,8 @@ set_option linter.uppercaseLean3 false in
 end continuousFunctions
 
 /-- An upgraded version of the Yoneda embedding, observing that the continuous maps
-from `X : Top` to `R : TopCommRing` form a commutative ring, functorial in both `X` and `R`. -/
+from `X : TopCat` to `R : TopCommRingCat` form a commutative ring, functorial in both `X` and
+`R`. -/
 def commRingYoneda : TopCommRingCat.{u} ⥤ TopCat.{u}ᵒᵖ ⥤ CommRingCat.{u} where
   obj R :=
     { obj := fun X => continuousFunctions X R