category_theory.sites.spaces | 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

b6fa3beb

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

31ca6f9c

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) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Sites.Grothendieck
-import Mathbin.CategoryTheory.Sites.Pretopology
-import Mathbin.CategoryTheory.Limits.Lattice
-import Mathbin.Topology.Sets.Opens
+import CategoryTheory.Sites.Grothendieck
+import CategoryTheory.Sites.Pretopology
+import CategoryTheory.Limits.Lattice
+import Topology.Sets.Opens
 
 #align_import category_theory.sites.spaces from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"

31ca6f9c

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) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.sites.spaces
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Sites.Grothendieck
 import Mathbin.CategoryTheory.Sites.Pretopology
 import Mathbin.CategoryTheory.Limits.Lattice
 import Mathbin.Topology.Sets.Opens
 
+#align_import category_theory.sites.spaces from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
+
 /-!
 # Grothendieck topology on a topological space

31ca6f9c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -48,6 +48,7 @@ variable (T : Type u) [TopologicalSpace T]
 
 open CategoryTheory TopologicalSpace CategoryTheory.Limits
 
+#print Opens.grothendieckTopology /-
 /-- The Grothendieck topology associated to a topological space. -/
 def grothendieckTopology : GrothendieckTopology (Opens T)
     where
@@ -64,7 +65,9 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
     rcases hR hf _ hU with ⟨V, g, hg, hV⟩
     exact ⟨_, g ≫ f, hg, hV⟩
 #align opens.grothendieck_topology Opens.grothendieckTopology
+-/
 
+#print Opens.pretopology /-
 /-- The Grothendieck pretopology associated to a topological space. -/
 def pretopology : Pretopology (Opens T)
     where
@@ -83,7 +86,9 @@ def pretopology : Pretopology (Opens T)
     rcases hTi f hf x hU with ⟨V, g, hg, hV⟩
     exact ⟨_, _, ⟨_, g, f, hf, hg, rfl⟩, hV⟩
 #align opens.pretopology Opens.pretopology
+-/
 
+#print Opens.pretopology_ofGrothendieck /-
 /-- The pretopology associated to a space is the largest pretopology that
     generates the Grothendieck topology associated to the space. -/
 @[simp]
@@ -98,7 +103,9 @@ theorem pretopology_ofGrothendieck :
     rcases hR x hx with ⟨U, f, hf, hU⟩
     exact ⟨U, f, sieve.le_generate R U hf, hU⟩
 #align opens.pretopology_of_grothendieck Opens.pretopology_ofGrothendieck
+-/
 
+#print Opens.pretopology_toGrothendieck /-
 /-- The pretopology associated to a space induces the Grothendieck topology associated to the space.
 -/
 @[simp]
@@ -108,6 +115,7 @@ theorem pretopology_toGrothendieck :
   rw [← pretopology_of_grothendieck]
   apply (pretopology.gi (opens T)).l_u_eq
 #align opens.pretopology_to_grothendieck Opens.pretopology_toGrothendieck
+-/
 
 end Opens

31ca6f9c

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -51,7 +51,7 @@ open CategoryTheory TopologicalSpace CategoryTheory.Limits
 /-- The Grothendieck topology associated to a topological space. -/
 def grothendieckTopology : GrothendieckTopology (Opens T)
     where
-  sieves X S := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), S f ∧ x ∈ U
+  sieves X S := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), S f ∧ x ∈ U
   top_mem' X x hx := ⟨_, 𝟙 _, trivial, hx⟩
   pullback_stable' X Y S f hf y hy :=
     by
@@ -68,7 +68,7 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
 /-- The Grothendieck pretopology associated to a topological space. -/
 def pretopology : Pretopology (Opens T)
     where
-  coverings X R := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), R f ∧ x ∈ U
+  coverings X R := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), R f ∧ x ∈ U
   has_isos X Y f i x hx := ⟨_, _, presieve.singleton_self _, (inv f).le hx⟩
   pullbacks X Y f S hS x hx :=
     by

31ca6f9c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -48,12 +48,6 @@ variable (T : Type u) [TopologicalSpace T]
 
 open CategoryTheory TopologicalSpace CategoryTheory.Limits
 
-/- warning: opens.grothendieck_topology -> Opens.grothendieckTopology is a dubious translation:
-lean 3 declaration is
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1))))
-but is expected to have type
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align opens.grothendieck_topology Opens.grothendieckTopologyₓ'. -/
 /-- The Grothendieck topology associated to a topological space. -/
 def grothendieckTopology : GrothendieckTopology (Opens T)
     where
@@ -71,12 +65,6 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
     exact ⟨_, g ≫ f, hg, hV⟩
 #align opens.grothendieck_topology Opens.grothendieckTopology
 
-/- warning: opens.pretopology -> Opens.pretopology is a dubious translation:
-lean 3 declaration is
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1)
-but is expected to have type
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))
-Case conversion may be inaccurate. Consider using '#align opens.pretopology Opens.pretopologyₓ'. -/
 /-- The Grothendieck pretopology associated to a topological space. -/
 def pretopology : Pretopology (Opens T)
     where
@@ -96,12 +84,6 @@ def pretopology : Pretopology (Opens T)
     exact ⟨_, _, ⟨_, g, f, hf, hg, rfl⟩, hV⟩
 #align opens.pretopology Opens.pretopology
 
-/- warning: opens.pretopology_of_grothendieck -> Opens.pretopology_ofGrothendieck is a dubious translation:
-lean 3 declaration is
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1)) (CategoryTheory.Pretopology.ofGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1) (Opens.grothendieckTopology.{u1} T _inst_1)) (Opens.pretopology.{u1} T _inst_1)
-but is expected to have type
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Pretopology.ofGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))) (Opens.grothendieckTopology.{u1} T _inst_1)) (Opens.pretopology.{u1} T _inst_1)
-Case conversion may be inaccurate. Consider using '#align opens.pretopology_of_grothendieck Opens.pretopology_ofGrothendieckₓ'. -/
 /-- The pretopology associated to a space is the largest pretopology that
     generates the Grothendieck topology associated to the space. -/
 @[simp]
@@ -117,12 +99,6 @@ theorem pretopology_ofGrothendieck :
     exact ⟨U, f, sieve.le_generate R U hf, hU⟩
 #align opens.pretopology_of_grothendieck Opens.pretopology_ofGrothendieck
 
-/- warning: opens.pretopology_to_grothendieck -> Opens.pretopology_toGrothendieck is a dubious translation:
-lean 3 declaration is
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1))))) (CategoryTheory.Pretopology.toGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1) (Opens.pretopology.{u1} T _inst_1)) (Opens.grothendieckTopology.{u1} T _inst_1)
-but is expected to have type
-  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))))) (CategoryTheory.Pretopology.toGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))) (Opens.pretopology.{u1} T _inst_1)) (Opens.grothendieckTopology.{u1} T _inst_1)
-Case conversion may be inaccurate. Consider using '#align opens.pretopology_to_grothendieck Opens.pretopology_toGrothendieckₓ'. -/
 /-- The pretopology associated to a space induces the Grothendieck topology associated to the space.
 -/
 @[simp]

31ca6f9c

bump to nightly-2023-04-04-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

2ee17135

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.sites.spaces
-! leanprover-community/mathlib commit b6fa3beb29f035598cf0434d919694c5e98091eb
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
 ! 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.Sets.Opens
 /-!
 # Grothendieck topology on a topological space
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Define the Grothendieck topology and the pretopology associated to a topological space, and show
 that the pretopology induces the topology.

b6fa3beb

bump to nightly-2023-03-26-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

fbf144f9

Diff

@@ -45,6 +45,12 @@ variable (T : Type u) [TopologicalSpace T]
 
 open CategoryTheory TopologicalSpace CategoryTheory.Limits
 
+/- warning: opens.grothendieck_topology -> Opens.grothendieckTopology is a dubious translation:
+lean 3 declaration is
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1))))
+but is expected to have type
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align opens.grothendieck_topology Opens.grothendieckTopologyₓ'. -/
 /-- The Grothendieck topology associated to a topological space. -/
 def grothendieckTopology : GrothendieckTopology (Opens T)
     where
@@ -62,6 +68,12 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
     exact ⟨_, g ≫ f, hg, hV⟩
 #align opens.grothendieck_topology Opens.grothendieckTopology
 
+/- warning: opens.pretopology -> Opens.pretopology is a dubious translation:
+lean 3 declaration is
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1)
+but is expected to have type
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))
+Case conversion may be inaccurate. Consider using '#align opens.pretopology Opens.pretopologyₓ'. -/
 /-- The Grothendieck pretopology associated to a topological space. -/
 def pretopology : Pretopology (Opens T)
     where
@@ -81,6 +93,12 @@ def pretopology : Pretopology (Opens T)
     exact ⟨_, _, ⟨_, g, f, hf, hg, rfl⟩, hV⟩
 #align opens.pretopology Opens.pretopology
 
+/- warning: opens.pretopology_of_grothendieck -> Opens.pretopology_ofGrothendieck is a dubious translation:
+lean 3 declaration is
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1)) (CategoryTheory.Pretopology.ofGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1) (Opens.grothendieckTopology.{u1} T _inst_1)) (Opens.pretopology.{u1} T _inst_1)
+but is expected to have type
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.Pretopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Pretopology.ofGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))) (Opens.grothendieckTopology.{u1} T _inst_1)) (Opens.pretopology.{u1} T _inst_1)
+Case conversion may be inaccurate. Consider using '#align opens.pretopology_of_grothendieck Opens.pretopology_ofGrothendieckₓ'. -/
 /-- The pretopology associated to a space is the largest pretopology that
     generates the Grothendieck topology associated to the space. -/
 @[simp]
@@ -96,6 +114,12 @@ theorem pretopology_ofGrothendieck :
     exact ⟨U, f, sieve.le_generate R U hf, hU⟩
 #align opens.pretopology_of_grothendieck Opens.pretopology_ofGrothendieck
 
+/- warning: opens.pretopology_to_grothendieck -> Opens.pretopology_toGrothendieck is a dubious translation:
+lean 3 declaration is
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1))))) (CategoryTheory.Pretopology.toGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) T (TopologicalSpace.Opens.setLike.{u1} T _inst_1)))) (Opens.pretopology._proof_1.{u1} T _inst_1) (Opens.pretopology.{u1} T _inst_1)) (Opens.grothendieckTopology.{u1} T _inst_1)
+but is expected to have type
+  forall (T : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} T], Eq.{succ u1} (CategoryTheory.GrothendieckTopology.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))))) (CategoryTheory.Pretopology.toGrothendieck.{u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.hasPullbacks_of_hasWidePullbacks.{u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (fun (J : Type.{u1}) => CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} T _inst_1) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1))))) (CategoryTheory.Limits.WidePullbackShape.{u1} J) (CategoryTheory.Limits.WidePullbackShape.category.{u1} J) (CategoryTheory.Limits.CompleteLattice.hasLimits_of_completeLattice.{u1} (TopologicalSpace.Opens.{u1} T _inst_1) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} T _inst_1)))) (Opens.pretopology.{u1} T _inst_1)) (Opens.grothendieckTopology.{u1} T _inst_1)
+Case conversion may be inaccurate. Consider using '#align opens.pretopology_to_grothendieck Opens.pretopology_toGrothendieckₓ'. -/
 /-- The pretopology associated to a space induces the Grothendieck topology associated to the space.
 -/
 @[simp]

b6fa3beb

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

b6fa3beb

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -63,8 +63,8 @@ def pretopology : Pretopology (Opens T) where
   pullbacks X Y f S hS x hx := by
     rcases hS _ (f.le hx) with ⟨U, g, hg, hU⟩
     refine' ⟨_, _, Presieve.pullbackArrows.mk _ _ hg, _⟩
-    have : U ⊓ Y ≤ pullback g f
-    refine' leOfHom (pullback.lift (homOfLE inf_le_left) (homOfLE inf_le_right) rfl)
+    have : U ⊓ Y ≤ pullback g f :=
+      leOfHom (pullback.lift (homOfLE inf_le_left) (homOfLE inf_le_right) rfl)
     apply this ⟨hU, hx⟩
   transitive X S Ti hS hTi x hx := by
     rcases hS x hx with ⟨U, f, hf, hU⟩

b6fa3beb

chore: tidy various files (#10362)

1c8a8a8e

Diff

@@ -43,8 +43,7 @@ variable (T : Type u) [TopologicalSpace T]
 open CategoryTheory TopologicalSpace CategoryTheory.Limits
 
 /-- The Grothendieck topology associated to a topological space. -/
-def grothendieckTopology : GrothendieckTopology (Opens T)
-    where
+def grothendieckTopology : GrothendieckTopology (Opens T) where
   sieves X S := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), S f ∧ x ∈ U
   top_mem' X x hx := ⟨_, 𝟙 _, trivial, hx⟩
   pullback_stable' X Y S f hf y hy := by
@@ -58,8 +57,7 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
 #align opens.grothendieck_topology Opens.grothendieckTopology
 
 /-- The Grothendieck pretopology associated to a topological space. -/
-def pretopology : Pretopology (Opens T)
-    where
+def pretopology : Pretopology (Opens T) where
   coverings X R := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), R f ∧ x ∈ U
   has_isos X Y f i x hx := ⟨_, _, Presieve.singleton_self _, (inv f).le hx⟩
   pullbacks X Y f S hS x hx := by
@@ -68,7 +66,7 @@ def pretopology : Pretopology (Opens T)
     have : U ⊓ Y ≤ pullback g f
     refine' leOfHom (pullback.lift (homOfLE inf_le_left) (homOfLE inf_le_right) rfl)
     apply this ⟨hU, hx⟩
-  Transitive X S Ti hS hTi x hx := by
+  transitive X S Ti hS hTi x hx := by
     rcases hS x hx with ⟨U, f, hf, hU⟩
     rcases hTi f hf x hU with ⟨V, g, hg, hV⟩
     exact ⟨_, _, ⟨_, g, f, hf, hg, rfl⟩, hV⟩

b6fa3beb

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) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.sites.spaces
-! leanprover-community/mathlib commit b6fa3beb29f035598cf0434d919694c5e98091eb
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Sites.Grothendieck
 import Mathlib.CategoryTheory.Sites.Pretopology
 import Mathlib.CategoryTheory.Limits.Lattice
 import Mathlib.Topology.Sets.Opens
 
+#align_import category_theory.sites.spaces from "leanprover-community/mathlib"@"b6fa3beb29f035598cf0434d919694c5e98091eb"
+
 /-!
 # Grothendieck topology on a topological space

b6fa3beb

chore: formatting issues (#4947)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

5068808d

Diff

@@ -48,7 +48,7 @@ open CategoryTheory TopologicalSpace CategoryTheory.Limits
 /-- The Grothendieck topology associated to a topological space. -/
 def grothendieckTopology : GrothendieckTopology (Opens T)
     where
-  sieves X S := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), S f ∧ x ∈ U
+  sieves X S := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), S f ∧ x ∈ U
   top_mem' X x hx := ⟨_, 𝟙 _, trivial, hx⟩
   pullback_stable' X Y S f hf y hy := by
     rcases hf y (f.le hy) with ⟨U, g, hg, hU⟩
@@ -63,7 +63,7 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
 /-- The Grothendieck pretopology associated to a topological space. -/
 def pretopology : Pretopology (Opens T)
     where
-  coverings X R := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), R f ∧ x ∈ U
+  coverings X R := ∀ x ∈ X, ∃ (U : _) (f : U ⟶ X), R f ∧ x ∈ U
   has_isos X Y f i x hx := ⟨_, _, Presieve.singleton_self _, (inv f).le hx⟩
   pullbacks X Y f S hS x hx := by
     rcases hS _ (f.le hx) with ⟨U, g, hg, hU⟩

b6fa3beb

chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

14167e48

Diff

@@ -50,13 +50,11 @@ def grothendieckTopology : GrothendieckTopology (Opens T)
     where
   sieves X S := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), S f ∧ x ∈ U
   top_mem' X x hx := ⟨_, 𝟙 _, trivial, hx⟩
-  pullback_stable' X Y S f hf y hy :=
-    by
+  pullback_stable' X Y S f hf y hy := by
     rcases hf y (f.le hy) with ⟨U, g, hg, hU⟩
     refine' ⟨U ⊓ Y, homOfLE inf_le_right, _, hU, hy⟩
     apply S.downward_closed hg (homOfLE inf_le_left)
-  transitive' X S hS R hR x hx :=
-    by
+  transitive' X S hS R hR x hx := by
     rcases hS x hx with ⟨U, f, hf, hU⟩
     rcases hR hf _ hU with ⟨V, g, hg, hV⟩
     exact ⟨_, g ≫ f, hg, hV⟩
@@ -67,15 +65,13 @@ def pretopology : Pretopology (Opens T)
     where
   coverings X R := ∀ x ∈ X, ∃ (U : _)(f : U ⟶ X), R f ∧ x ∈ U
   has_isos X Y f i x hx := ⟨_, _, Presieve.singleton_self _, (inv f).le hx⟩
-  pullbacks X Y f S hS x hx :=
-    by
+  pullbacks X Y f S hS x hx := by
     rcases hS _ (f.le hx) with ⟨U, g, hg, hU⟩
     refine' ⟨_, _, Presieve.pullbackArrows.mk _ _ hg, _⟩
     have : U ⊓ Y ≤ pullback g f
     refine' leOfHom (pullback.lift (homOfLE inf_le_left) (homOfLE inf_le_right) rfl)
     apply this ⟨hU, hx⟩
-  Transitive X S Ti hS hTi x hx :=
-    by
+  Transitive X S Ti hS hTi x hx := by
     rcases hS x hx with ⟨U, f, hf, hU⟩
     rcases hTi f hf x hU with ⟨V, g, hg, hV⟩
     exact ⟨_, _, ⟨_, g, f, hf, hg, rfl⟩, hV⟩

b6fa3beb

feat: port CategoryTheory.Sites.Spaces (#3111)

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

d010c13a

`category_theory.sites.spaces` ⟷ `Mathlib.CategoryTheory.Sites.Spaces`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 401

category_theory.sites.spaces ⟷ Mathlib.CategoryTheory.Sites.Spaces

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 401

`category_theory.sites.spaces` ⟷ `Mathlib.CategoryTheory.Sites.Spaces`