category_theory.limits.connectedMathlib.CategoryTheory.Limits.Connected

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,11 +3,11 @@ 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.Limits.Shapes.BinaryProducts
-import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
-import Mathbin.CategoryTheory.Limits.Shapes.WidePullbacks
-import Mathbin.CategoryTheory.IsConnected
-import Mathbin.CategoryTheory.Limits.Preserves.Basic
+import CategoryTheory.Limits.Shapes.BinaryProducts
+import CategoryTheory.Limits.Shapes.Equalizers
+import CategoryTheory.Limits.Shapes.WidePullbacks
+import CategoryTheory.IsConnected
+import CategoryTheory.Limits.Preserves.Basic
 
 #align_import category_theory.limits.connected from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
 
Diff
@@ -2,11 +2,6 @@
 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.limits.connected
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.BinaryProducts
 import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
@@ -14,6 +9,8 @@ import Mathbin.CategoryTheory.Limits.Shapes.WidePullbacks
 import Mathbin.CategoryTheory.IsConnected
 import Mathbin.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.limits.connected from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Connected limits
 
Diff
@@ -89,17 +89,22 @@ variable {J : Type v₂} [SmallCategory J]
 
 namespace ProdPreservesConnectedLimits
 
+#print CategoryTheory.ProdPreservesConnectedLimits.γ₂ /-
 /-- (Impl). The obvious natural transformation from (X × K -) to K. -/
 @[simps]
 def γ₂ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ K where app Y := Limits.prod.snd
 #align category_theory.prod_preserves_connected_limits.γ₂ CategoryTheory.ProdPreservesConnectedLimits.γ₂
+-/
 
+#print CategoryTheory.ProdPreservesConnectedLimits.γ₁ /-
 /-- (Impl). The obvious natural transformation from (X × K -) to X -/
 @[simps]
 def γ₁ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ (Functor.const J).obj X
     where app Y := Limits.prod.fst
 #align category_theory.prod_preserves_connected_limits.γ₁ CategoryTheory.ProdPreservesConnectedLimits.γ₁
+-/
 
+#print CategoryTheory.ProdPreservesConnectedLimits.forgetCone /-
 /-- (Impl).
 Given a cone for (X × K -), produce a cone for K using the natural transformation `γ₂` -/
 @[simps]
@@ -108,11 +113,13 @@ def forgetCone {X : C} {K : J ⥤ C} (s : Cone (K ⋙ prod.functor.obj X)) : Con
   pt := s.pt
   π := s.π ≫ γ₂ X
 #align category_theory.prod_preserves_connected_limits.forget_cone CategoryTheory.ProdPreservesConnectedLimits.forgetCone
+-/
 
 end ProdPreservesConnectedLimits
 
 open ProdPreservesConnectedLimits
 
+#print CategoryTheory.prodPreservesConnectedLimits /-
 /-- The functor `(X × -)` preserves any connected limit.
 Note that this functor does not preserve the two most obvious disconnected limits - that is,
 `(X × -)` does not preserve products or terminal object, eg `(X ⨯ A) ⨯ (X ⨯ B)` is not isomorphic to
@@ -139,6 +146,7 @@ noncomputable def prodPreservesConnectedLimits [IsConnected J] (X : C) :
               intro j
               simp [← L j] } }
 #align category_theory.prod_preserves_connected_limits CategoryTheory.prodPreservesConnectedLimits
+-/
 
 end CategoryTheory
 
Diff
@@ -89,35 +89,17 @@ variable {J : Type v₂} [SmallCategory J]
 
 namespace ProdPreservesConnectedLimits
 
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 /-- (Impl). The obvious natural transformation from (X × K -) to K. -/
 @[simps]
 def γ₂ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ K where app Y := Limits.prod.snd
 #align category_theory.prod_preserves_connected_limits.γ₂ CategoryTheory.ProdPreservesConnectedLimits.γ₂
 
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 /-- (Impl). The obvious natural transformation from (X × K -) to X -/
 @[simps]
 def γ₁ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ (Functor.const J).obj X
     where app Y := Limits.prod.fst
 #align category_theory.prod_preserves_connected_limits.γ₁ CategoryTheory.ProdPreservesConnectedLimits.γ₁
 
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 /-- (Impl).
 Given a cone for (X × K -), produce a cone for K using the natural transformation `γ₂` -/
 @[simps]
@@ -131,12 +113,6 @@ end ProdPreservesConnectedLimits
 
 open ProdPreservesConnectedLimits
 
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 /-- The functor `(X × -)` preserves any connected limit.
 Note that this functor does not preserve the two most obvious disconnected limits - that is,
 `(X × -)` does not preserve products or terminal object, eg `(X ⨯ A) ⨯ (X ⨯ B)` is not isomorphic to
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.limits.connected
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.CategoryTheory.Limits.Preserves.Basic
 /-!
 # Connected limits
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A connected limit is a limit whose shape is a connected category.
 
 We give examples of connected categories, and prove that the functor given
Diff
@@ -35,6 +35,7 @@ namespace CategoryTheory
 
 section Examples
 
+#print CategoryTheory.widePullbackShape_connected /-
 instance widePullbackShape_connected (J : Type v₁) : IsConnected (WidePullbackShape J) :=
   by
   apply is_connected.of_induct
@@ -43,7 +44,9 @@ instance widePullbackShape_connected (J : Type v₁) : IsConnected (WidePullback
   · exact hp
   · rwa [t (wide_pullback_shape.hom.term j)]
 #align category_theory.wide_pullback_shape_connected CategoryTheory.widePullbackShape_connected
+-/
 
+#print CategoryTheory.widePushoutShape_connected /-
 instance widePushoutShape_connected (J : Type v₁) : IsConnected (WidePushoutShape J) :=
   by
   apply is_connected.of_induct
@@ -52,11 +55,15 @@ instance widePushoutShape_connected (J : Type v₁) : IsConnected (WidePushoutSh
   · exact hp
   · rwa [← t (wide_pushout_shape.hom.init j)]
 #align category_theory.wide_pushout_shape_connected CategoryTheory.widePushoutShape_connected
+-/
 
+#print CategoryTheory.parallelPairInhabited /-
 instance parallelPairInhabited : Inhabited WalkingParallelPair :=
   ⟨WalkingParallelPair.one⟩
 #align category_theory.parallel_pair_inhabited CategoryTheory.parallelPairInhabited
+-/
 
+#print CategoryTheory.parallel_pair_connected /-
 instance parallel_pair_connected : IsConnected WalkingParallelPair :=
   by
   apply is_connected.of_induct
@@ -65,6 +72,7 @@ instance parallel_pair_connected : IsConnected WalkingParallelPair :=
   · rwa [t walking_parallel_pair_hom.left]
   · assumption
 #align category_theory.parallel_pair_connected CategoryTheory.parallel_pair_connected
+-/
 
 end Examples
 
@@ -78,17 +86,35 @@ variable {J : Type v₂} [SmallCategory J]
 
 namespace ProdPreservesConnectedLimits
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.prod_preserves_connected_limits.γ₂ CategoryTheory.ProdPreservesConnectedLimits.γ₂ₓ'. -/
 /-- (Impl). The obvious natural transformation from (X × K -) to K. -/
 @[simps]
 def γ₂ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ K where app Y := Limits.prod.snd
 #align category_theory.prod_preserves_connected_limits.γ₂ CategoryTheory.ProdPreservesConnectedLimits.γ₂
 
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 /-- (Impl). The obvious natural transformation from (X × K -) to X -/
 @[simps]
 def γ₁ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ (Functor.const J).obj X
     where app Y := Limits.prod.fst
 #align category_theory.prod_preserves_connected_limits.γ₁ CategoryTheory.ProdPreservesConnectedLimits.γ₁
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.prod_preserves_connected_limits.forget_cone CategoryTheory.ProdPreservesConnectedLimits.forgetConeₓ'. -/
 /-- (Impl).
 Given a cone for (X × K -), produce a cone for K using the natural transformation `γ₂` -/
 @[simps]
@@ -102,6 +128,12 @@ end ProdPreservesConnectedLimits
 
 open ProdPreservesConnectedLimits
 
+/- warning: category_theory.prod_preserves_connected_limits -> CategoryTheory.prodPreservesConnectedLimits is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.prod_preserves_connected_limits CategoryTheory.prodPreservesConnectedLimitsₓ'. -/
 /-- The functor `(X × -)` preserves any connected limit.
 Note that this functor does not preserve the two most obvious disconnected limits - that is,
 `(X × -)` does not preserve products or terminal object, eg `(X ⨯ A) ⨯ (X ⨯ B)` is not isomorphic to
Diff
@@ -94,7 +94,7 @@ Given a cone for (X × K -), produce a cone for K using the natural transformati
 @[simps]
 def forgetCone {X : C} {K : J ⥤ C} (s : Cone (K ⋙ prod.functor.obj X)) : Cone K
     where
-  x := s.x
+  pt := s.pt
   π := s.π ≫ γ₂ X
 #align category_theory.prod_preserves_connected_limits.forget_cone CategoryTheory.ProdPreservesConnectedLimits.forgetCone
 
Diff
@@ -114,12 +114,12 @@ noncomputable def prodPreservesConnectedLimits [IsConnected J] (X : C) :
       preserves := fun c l =>
         { lift := fun s =>
             prod.lift (s.π.app (Classical.arbitrary _) ≫ Limits.prod.fst) (l.lift (forgetCone s))
-          fac' := fun s j => by
+          fac := fun s j => by
             apply prod.hom_ext
             · erw [assoc, lim_map_π, comp_id, limit.lift_π]
               exact (nat_trans_from_is_connected (s.π ≫ γ₁ X) j (Classical.arbitrary _)).symm
             · simp [← l.fac (forget_cone s) j]
-          uniq' := fun s m L => by
+          uniq := fun s m L => by
             apply prod.hom_ext
             · erw [limit.lift_π, ← L (Classical.arbitrary J), assoc, lim_map_π, comp_id]
               rfl

Changes in mathlib4

mathlib3
mathlib4
chore: adapt to multiple goal linter 1 (#12338)

A PR accompanying #12339.

Zulip discussion

Diff
@@ -34,18 +34,18 @@ section Examples
 
 instance widePullbackShape_connected (J : Type v₁) : IsConnected (WidePullbackShape J) := by
   apply IsConnected.of_induct
-  introv hp t
-  cases j
-  · exact hp
-  · rwa [t (WidePullbackShape.Hom.term _)]
+  · introv hp t
+    cases j
+    · exact hp
+    · rwa [t (WidePullbackShape.Hom.term _)]
 #align category_theory.wide_pullback_shape_connected CategoryTheory.widePullbackShape_connected
 
 instance widePushoutShape_connected (J : Type v₁) : IsConnected (WidePushoutShape J) := by
   apply IsConnected.of_induct
-  introv hp t
-  cases j
-  · exact hp
-  · rwa [← t (WidePushoutShape.Hom.init _)]
+  · introv hp t
+    cases j
+    · exact hp
+    · rwa [← t (WidePushoutShape.Hom.init _)]
 #align category_theory.wide_pushout_shape_connected CategoryTheory.widePushoutShape_connected
 
 instance parallelPairInhabited : Inhabited WalkingParallelPair :=
@@ -54,10 +54,10 @@ instance parallelPairInhabited : Inhabited WalkingParallelPair :=
 
 instance parallel_pair_connected : IsConnected WalkingParallelPair := by
   apply IsConnected.of_induct
-  introv _ t
-  cases j
-  · rwa [t WalkingParallelPairHom.left]
-  · assumption
+  · introv _ t
+    cases j
+    · rwa [t WalkingParallelPairHom.left]
+    · assumption
 #align category_theory.parallel_pair_connected CategoryTheory.parallel_pair_connected
 
 end Examples
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -63,9 +63,7 @@ instance parallel_pair_connected : IsConnected WalkingParallelPair := by
 end Examples
 
 variable {C : Type u₂} [Category.{v₂} C]
-
 variable [HasBinaryProducts C]
-
 variable {J : Type v₂} [SmallCategory J]
 
 namespace ProdPreservesConnectedLimits
style: fix wrapping of where (#7149)
Diff
@@ -77,8 +77,8 @@ def γ₂ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ K where app Y :=
 
 /-- (Impl). The obvious natural transformation from (X × K -) to X -/
 @[simps]
-def γ₁ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ (Functor.const J).obj X
-    where app Y := Limits.prod.fst
+def γ₁ {K : J ⥤ C} (X : C) : K ⋙ prod.functor.obj X ⟶ (Functor.const J).obj X where
+  app Y := Limits.prod.fst
 #align category_theory.prod_preserves_connected_limits.γ₁ CategoryTheory.ProdPreservesConnectedLimits.γ₁
 
 /-- (Impl).
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,11 +2,6 @@
 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.limits.connected
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
 import Mathlib.CategoryTheory.Limits.Shapes.Equalizers
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
 import Mathlib.CategoryTheory.IsConnected
 import Mathlib.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.limits.connected from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
+
 /-!
 # Connected limits
 
feat: port CategoryTheory.Limits.Connected (#2830)

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

Dependencies 2 + 168

169 files ported (98.8%)
69754 lines ported (99.8%)
Show graph

The unported dependencies are