topology.sheaves.sheaf_of_functions | 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

5dc6092d

(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

@@ -33,11 +33,11 @@ open category_theory.limits
 open topological_space
 open topological_space.opens
 
-universes v u
+universe u
 
 noncomputable theory
 
-variables (X : Top.{v})
+variables (X : Top.{u})
 
 open Top
 
@@ -101,13 +101,13 @@ namespace Top
 The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
-def sheaf_to_Types (T : X → Type u) : sheaf (Type max v u) X :=
+def sheaf_to_Types (T : X → Type u) : sheaf (Type u) X :=
 ⟨presheaf_to_Types X T, presheaf.to_Types_is_sheaf _ _⟩
 
 /--
 The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
-def sheaf_to_Type (T : Type u) : sheaf (Type max v u) X :=
+def sheaf_to_Type (T : Type u) : sheaf (Type u) X :=
 ⟨presheaf_to_Type X T, presheaf.to_Type_is_sheaf _ _⟩
 
 end Top

13361559

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

@@ -33,11 +33,11 @@ open category_theory.limits
 open topological_space
 open topological_space.opens
 
-universe u
+universes v u
 
 noncomputable theory
 
-variables (X : Top.{u})
+variables (X : Top.{v})
 
 open Top
 
@@ -101,13 +101,13 @@ namespace Top
 The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
-def sheaf_to_Types (T : X → Type u) : sheaf (Type u) X :=
+def sheaf_to_Types (T : X → Type u) : sheaf (Type max v u) X :=
 ⟨presheaf_to_Types X T, presheaf.to_Types_is_sheaf _ _⟩
 
 /--
 The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
-def sheaf_to_Type (T : Type u) : sheaf (Type u) X :=
+def sheaf_to_Type (T : Type u) : sheaf (Type max v u) X :=
 ⟨presheaf_to_Type X T, presheaf.to_Type_is_sheaf _ _⟩
 
 end Top

70fd9563

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

5dc6092d

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Scott Morrison
 -/
-import Mathbin.Topology.Sheaves.PresheafOfFunctions
-import Mathbin.Topology.Sheaves.SheafCondition.UniqueGluing
+import Topology.Sheaves.PresheafOfFunctions
+import Topology.Sheaves.SheafCondition.UniqueGluing
 
 #align_import topology.sheaves.sheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"

5dc6092d

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Scott Morrison
-
-! This file was ported from Lean 3 source module topology.sheaves.sheaf_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.Topology.Sheaves.PresheafOfFunctions
 import Mathbin.Topology.Sheaves.SheafCondition.UniqueGluing
 
+#align_import topology.sheaves.sheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"
+
 /-!
 # Sheaf conditions for presheaves of (continuous) functions.

5dc6092d

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: Johan Commelin, Scott Morrison
 
 ! This file was ported from Lean 3 source module topology.sheaves.sheaf_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.
 -/
@@ -42,11 +42,11 @@ open TopologicalSpace
 
 open TopologicalSpace.Opens
 
-universe v u
+universe u
 
 noncomputable section
 
-variable (X : TopCat.{v})
+variable (X : TopCat.{u})
 
 open TopCat
 
@@ -113,7 +113,7 @@ namespace TopCat
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
-def sheafToTypes (T : X → Type u) : Sheaf (Type max v u) X :=
+def sheafToTypes (T : X → Type u) : Sheaf (Type u) X :=
   ⟨presheafToTypes X T, Presheaf.toTypes_isSheaf _ _⟩
 #align Top.sheaf_to_Types TopCat.sheafToTypes
 -/
@@ -123,7 +123,7 @@ Case conversion may be inaccurate. Consider using '#align Top.sheaf_to_Type TopC
 #print TopCat.sheafToType /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
-def sheafToType (T : Type u) : Sheaf (Type max v u) X :=
+def sheafToType (T : Type u) : Sheaf (Type u) X :=
   ⟨presheafToType X T, Presheaf.toType_isSheaf _ _⟩
 #align Top.sheaf_to_Type TopCat.sheafToType
 -/

13361559

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -52,6 +52,7 @@ open TopCat
 
 namespace TopCat.Presheaf
 
+#print TopCat.Presheaf.toTypes_isSheaf /-
 /-- We show that the presheaf of functions to a type `T`
 (no continuity assumptions, just plain functions)
 form a sheaf.
@@ -92,7 +93,9 @@ theorem toTypes_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
       ext
       rfl
 #align Top.presheaf.to_Types_is_sheaf TopCat.Presheaf.toTypes_isSheaf
+-/
 
+#print TopCat.Presheaf.toType_isSheaf /-
 -- We verify that the non-dependent version is an immediate consequence:
 /-- The presheaf of not-necessarily-continuous functions to
 a target type `T` satsifies the sheaf condition.
@@ -100,25 +103,30 @@ a target type `T` satsifies the sheaf condition.
 theorem toType_isSheaf (T : Type u) : (presheafToType X T).IsSheaf :=
   toTypes_isSheaf X fun _ => T
 #align Top.presheaf.to_Type_is_sheaf TopCat.Presheaf.toType_isSheaf
+-/
 
 end TopCat.Presheaf
 
 namespace TopCat
 
+#print TopCat.sheafToTypes /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
 def sheafToTypes (T : X → Type u) : Sheaf (Type max v u) X :=
   ⟨presheafToTypes X T, Presheaf.toTypes_isSheaf _ _⟩
 #align Top.sheaf_to_Types TopCat.sheafToTypes
+-/
 
 /- warning: Top.sheaf_to_Type clashes with Top.sheafToType -> TopCat.sheafToType
 Case conversion may be inaccurate. Consider using '#align Top.sheaf_to_Type TopCat.sheafToTypeₓ'. -/
+#print TopCat.sheafToType /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
 def sheafToType (T : Type u) : Sheaf (Type max v u) X :=
   ⟨presheafToType X T, Presheaf.toType_isSheaf _ _⟩
 #align Top.sheaf_to_Type TopCat.sheafToType
+-/
 
 end TopCat

13361559

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: Johan Commelin, Scott Morrison
 
 ! This file was ported from Lean 3 source module topology.sheaves.sheaf_of_functions
-! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
+! leanprover-community/mathlib commit 13361559d66b84f80b6d5a1c4a26aa5054766725
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -42,17 +42,16 @@ open TopologicalSpace
 
 open TopologicalSpace.Opens
 
-universe u
+universe v u
 
 noncomputable section
 
-variable (X : TopCat.{u})
+variable (X : TopCat.{v})
 
 open TopCat
 
 namespace TopCat.Presheaf
 
-#print TopCat.Presheaf.toTypes_isSheaf /-
 /-- We show that the presheaf of functions to a type `T`
 (no continuity assumptions, just plain functions)
 form a sheaf.
@@ -93,9 +92,7 @@ theorem toTypes_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
       ext
       rfl
 #align Top.presheaf.to_Types_is_sheaf TopCat.Presheaf.toTypes_isSheaf
--/
 
-#print TopCat.Presheaf.toType_isSheaf /-
 -- We verify that the non-dependent version is an immediate consequence:
 /-- The presheaf of not-necessarily-continuous functions to
 a target type `T` satsifies the sheaf condition.
@@ -103,30 +100,25 @@ a target type `T` satsifies the sheaf condition.
 theorem toType_isSheaf (T : Type u) : (presheafToType X T).IsSheaf :=
   toTypes_isSheaf X fun _ => T
 #align Top.presheaf.to_Type_is_sheaf TopCat.Presheaf.toType_isSheaf
--/
 
 end TopCat.Presheaf
 
 namespace TopCat
 
-#print TopCat.sheafToTypes /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
-def sheafToTypes (T : X → Type u) : Sheaf (Type u) X :=
+def sheafToTypes (T : X → Type u) : Sheaf (Type max v u) X :=
   ⟨presheafToTypes X T, Presheaf.toTypes_isSheaf _ _⟩
 #align Top.sheaf_to_Types TopCat.sheafToTypes
--/
 
 /- warning: Top.sheaf_to_Type clashes with Top.sheafToType -> TopCat.sheafToType
 Case conversion may be inaccurate. Consider using '#align Top.sheaf_to_Type TopCat.sheafToTypeₓ'. -/
-#print TopCat.sheafToType /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
-def sheafToType (T : Type u) : Sheaf (Type u) X :=
+def sheafToType (T : Type u) : Sheaf (Type max v u) X :=
   ⟨presheafToType X T, Presheaf.toType_isSheaf _ _⟩
 #align Top.sheaf_to_Type TopCat.sheafToType
--/
 
 end TopCat

f60c6087

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Scott Morrison
 
 ! This file was ported from Lean 3 source module topology.sheaves.sheaf_of_functions
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
 ! 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.SheafCondition.UniqueGluing
 /-!
 # Sheaf conditions for presheaves of (continuous) functions.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We show that
 * `Top.presheaf.to_Type_is_sheaf`: not-necessarily-continuous functions into a type form a sheaf
 * `Top.presheaf.to_Types_is_sheaf`: in fact, these may be dependent functions into a type family

70fd9563

bump to nightly-2023-05-28-12

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

7e398081

Diff

@@ -49,6 +49,7 @@ open TopCat
 
 namespace TopCat.Presheaf
 
+#print TopCat.Presheaf.toTypes_isSheaf /-
 /-- We show that the presheaf of functions to a type `T`
 (no continuity assumptions, just plain functions)
 form a sheaf.
@@ -56,7 +57,7 @@ form a sheaf.
 In fact, the proof is identical when we do this for dependent functions to a type family `T`,
 so we do the more general case.
 -/
-theorem to_Types_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
+theorem toTypes_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
   isSheaf_of_isSheafUniqueGluing_types _ fun ι U sf hsf =>
     -- We use the sheaf condition in terms of unique gluing
   -- U is a family of open sets, indexed by `ι` and `sf` is a compatible family of sections.
@@ -88,32 +89,41 @@ theorem to_Types_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
       convert congr_fun (ht (index x)) ⟨x.1, index_spec x⟩
       ext
       rfl
-#align Top.presheaf.to_Types_is_sheaf TopCat.Presheaf.to_Types_isSheaf
+#align Top.presheaf.to_Types_is_sheaf TopCat.Presheaf.toTypes_isSheaf
+-/
 
+#print TopCat.Presheaf.toType_isSheaf /-
 -- We verify that the non-dependent version is an immediate consequence:
 /-- The presheaf of not-necessarily-continuous functions to
 a target type `T` satsifies the sheaf condition.
 -/
-theorem to_Type_isSheaf (T : Type u) : (presheafToType X T).IsSheaf :=
-  to_Types_isSheaf X fun _ => T
-#align Top.presheaf.to_Type_is_sheaf TopCat.Presheaf.to_Type_isSheaf
+theorem toType_isSheaf (T : Type u) : (presheafToType X T).IsSheaf :=
+  toTypes_isSheaf X fun _ => T
+#align Top.presheaf.to_Type_is_sheaf TopCat.Presheaf.toType_isSheaf
+-/
 
 end TopCat.Presheaf
 
 namespace TopCat
 
+#print TopCat.sheafToTypes /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in type family
 `T : X → Type u`.
 -/
 def sheafToTypes (T : X → Type u) : Sheaf (Type u) X :=
-  ⟨presheafToTypes X T, Presheaf.to_Types_isSheaf _ _⟩
+  ⟨presheafToTypes X T, Presheaf.toTypes_isSheaf _ _⟩
 #align Top.sheaf_to_Types TopCat.sheafToTypes
+-/
 
+/- warning: Top.sheaf_to_Type clashes with Top.sheafToType -> TopCat.sheafToType
+Case conversion may be inaccurate. Consider using '#align Top.sheaf_to_Type TopCat.sheafToTypeₓ'. -/
+#print TopCat.sheafToType /-
 /-- The sheaf of not-necessarily-continuous functions on `X` with values in a type `T`.
 -/
 def sheafToType (T : Type u) : Sheaf (Type u) X :=
-  ⟨presheafToType X T, Presheaf.to_Type_isSheaf _ _⟩
+  ⟨presheafToType X T, Presheaf.toType_isSheaf _ _⟩
 #align Top.sheaf_to_Type TopCat.sheafToType
+-/
 
 end TopCat

70fd9563

bump to nightly-2023-05-14-08

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

d31da313

Diff

@@ -65,9 +65,9 @@ theorem to_Types_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
     -- Our first goal is to define a function "lifted" to all of `U`.
     -- We do this one point at a time. Using the axiom of choice, we can pick for each
     -- `x : supr U` an index `i : ι` such that `x` lies in `U i`
-    choose index index_spec using fun x : supᵢ U => opens.mem_supr.mp x.2
+    choose index index_spec using fun x : iSup U => opens.mem_supr.mp x.2
     -- Using this data, we can glue our functions together to a single section
-    let s : ∀ x : supᵢ U, T x := fun x => sf (index x) ⟨x.1, index_spec x⟩
+    let s : ∀ x : iSup U, T x := fun x => sf (index x) ⟨x.1, index_spec x⟩
     refine' ⟨s, _, _⟩
     · intro i
       ext x

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

5dc6092d

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Scott Morrison
-
-! This file was ported from Lean 3 source module topology.sheaves.sheaf_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.Topology.Sheaves.PresheafOfFunctions
 import Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing
 
+#align_import topology.sheaves.sheaf_of_functions from "leanprover-community/mathlib"@"5dc6092d09e5e489106865241986f7f2ad28d4c8"
+
 /-!
 # Sheaf conditions for presheaves of (continuous) functions.

5dc6092d

feat: using UnivLE to generalize universes in UniqueGluing (#5726)

This is a test of the UnivLE proposal. The UniqueGluing file was one place where we couldn't forward port the universe generalisations made in mathlib3 in https://github.com/leanprover-community/mathlib/pull/19153.

Diff relative to #5724 is https://github.com/leanprover-community/mathlib4/compare/UnivLE_types...UnivLE_UniqueGluing.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Matthew Robert Ballard <matt@mrb.email> Co-authored-by: Bulhwi Cha <chabulhwi@semmalgil.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Oliver Nash <github@olivernash.org> Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com> Co-authored-by: Tobias Grosser <tobias@grosser.es> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Moritz Firsching <moritz.firsching@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@gmail.com>

0f6207a5

Diff

@@ -51,7 +51,7 @@ In fact, the proof is identical when we do this for dependent functions to a typ
 so we do the more general case.
 -/
 theorem toTypes_isSheaf (T : X → Type u) : (presheafToTypes X T).IsSheaf :=
-  isSheaf_of_isSheafUniqueGluing_types _ fun ι U sf hsf => by
+  isSheaf_of_isSheafUniqueGluing_types.{u} _ fun ι U sf hsf => by
   -- We use the sheaf condition in terms of unique gluing
   -- U is a family of open sets, indexed by `ι` and `sf` is a compatible family of sections.
   -- In the informal comments below, I'll just write `U` to represent the union.

5dc6092d

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: Johan Commelin, Scott Morrison
 
 ! This file was ported from Lean 3 source module topology.sheaves.sheaf_of_functions
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 5dc6092d09e5e489106865241986f7f2ad28d4c8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

70fd9563

feat: port Topology.Sheaves.SheafOfFunctions (#4426)

e2585493

`topology.sheaves.sheaf_of_functions` ⟷ `Mathlib.Topology.Sheaves.SheafOfFunctions`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 816

topology.sheaves.sheaf_of_functions ⟷ Mathlib.Topology.Sheaves.SheafOfFunctions

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 816

`topology.sheaves.sheaf_of_functions` ⟷ `Mathlib.Topology.Sheaves.SheafOfFunctions`