category_theory.limits.constructions.pullbacksMathlib.CategoryTheory.Limits.Constructions.Pullbacks

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,9 +3,9 @@ Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.BinaryProducts
-import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
-import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
+import CategoryTheory.Limits.Shapes.BinaryProducts
+import CategoryTheory.Limits.Shapes.Equalizers
+import CategoryTheory.Limits.Shapes.Pullbacks
 
 #align_import category_theory.limits.constructions.pullbacks from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
 
Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.constructions.pullbacks
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! 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
 import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
 
+#align_import category_theory.limits.constructions.pullbacks from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Constructing pullbacks from binary products and equalizers
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 
 ! This file was ported from Lean 3 source module category_theory.limits.constructions.pullbacks
-! leanprover-community/mathlib commit cd7a8a184d7c5635e30083eabc4baf5589c30b7a
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
 /-!
 # Constructing pullbacks from binary products and equalizers
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 If a category as binary products and equalizers, then it has pullbacks.
 Also, if a category has binary coproducts and coequalizers, then it has pushouts
 -/
Diff
@@ -26,6 +26,7 @@ open CategoryTheory
 
 namespace CategoryTheory.Limits
 
+#print CategoryTheory.Limits.hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair /-
 /-- If the product `X ⨯ Y` and the equalizer of `π₁ ≫ f` and `π₂ ≫ g` exist, then the
     pullback of `f` and `g` exists: It is given by composing the equalizer with the projections. -/
 theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [𝒞 : Category.{v} C]
@@ -49,11 +50,13 @@ theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [
           · simpa using h₁
           · simpa using h₂ }
 #align category_theory.limits.has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair CategoryTheory.Limits.hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair
+-/
 
 section
 
 attribute [local instance] has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair
 
+#print CategoryTheory.Limits.hasPullbacks_of_hasBinaryProducts_of_hasEqualizers /-
 /-- If a category has all binary products and all equalizers, then it also has all pullbacks.
     As usual, this is not an instance, since there may be a more direct way to construct
     pullbacks. -/
@@ -61,9 +64,11 @@ theorem hasPullbacks_of_hasBinaryProducts_of_hasEqualizers (C : Type u) [𝒞 :
     [HasBinaryProducts C] [HasEqualizers C] : HasPullbacks C :=
   { HasLimit := fun F => hasLimitOfIso (diagramIsoCospan F).symm }
 #align category_theory.limits.has_pullbacks_of_has_binary_products_of_has_equalizers CategoryTheory.Limits.hasPullbacks_of_hasBinaryProducts_of_hasEqualizers
+-/
 
 end
 
+#print CategoryTheory.Limits.hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair /-
 /-- If the coproduct `Y ⨿ Z` and the coequalizer of `f ≫ ι₁` and `g ≫ ι₂` exist, then the
     pushout of `f` and `g` exists: It is given by composing the inclusions with the coequalizer. -/
 theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type u}
@@ -88,11 +93,13 @@ theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type
           · simpa using h₁
           · simpa using h₂ }
 #align category_theory.limits.has_colimit_span_of_has_colimit_pair_of_has_colimit_parallel_pair CategoryTheory.Limits.hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair
+-/
 
 section
 
 attribute [local instance] has_colimit_span_of_has_colimit_pair_of_has_colimit_parallel_pair
 
+#print CategoryTheory.Limits.hasPushouts_of_hasBinaryCoproducts_of_hasCoequalizers /-
 /-- If a category has all binary coproducts and all coequalizers, then it also has all pushouts.
     As usual, this is not an instance, since there may be a more direct way to construct
     pushouts. -/
@@ -100,6 +107,7 @@ theorem hasPushouts_of_hasBinaryCoproducts_of_hasCoequalizers (C : Type u) [𝒞
     [HasBinaryCoproducts C] [HasCoequalizers C] : HasPushouts C :=
   hasPushouts_of_hasColimit_span C
 #align category_theory.limits.has_pushouts_of_has_binary_coproducts_of_has_coequalizers CategoryTheory.Limits.hasPushouts_of_hasBinaryCoproducts_of_hasCoequalizers
+-/
 
 end
 
Diff
@@ -59,7 +59,7 @@ attribute [local instance] has_limit_cospan_of_has_limit_pair_of_has_limit_paral
     pullbacks. -/
 theorem hasPullbacks_of_hasBinaryProducts_of_hasEqualizers (C : Type u) [𝒞 : Category.{v} C]
     [HasBinaryProducts C] [HasEqualizers C] : HasPullbacks C :=
-  { HasLimit := fun F => hasLimit_of_iso (diagramIsoCospan F).symm }
+  { HasLimit := fun F => hasLimitOfIso (diagramIsoCospan F).symm }
 #align category_theory.limits.has_pullbacks_of_has_binary_products_of_has_equalizers CategoryTheory.Limits.hasPullbacks_of_hasBinaryProducts_of_hasEqualizers
 
 end
Diff
@@ -28,7 +28,7 @@ namespace CategoryTheory.Limits
 
 /-- If the product `X ⨯ Y` and the equalizer of `π₁ ≫ f` and `π₂ ≫ g` exist, then the
     pullback of `f` and `g` exists: It is given by composing the equalizer with the projections. -/
-theorem hasLimitCospanOfHasLimitPairOfHasLimitParallelPair {C : Type u} [𝒞 : Category.{v} C]
+theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [𝒞 : Category.{v} C]
     {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) [HasLimit (pair X Y)]
     [HasLimit (parallelPair (prod.fst ≫ f) (prod.snd ≫ g))] : HasLimit (cospan f g) :=
   let π₁ : X ⨯ Y ⟶ X := prod.fst
@@ -48,7 +48,7 @@ theorem hasLimitCospanOfHasLimitPairOfHasLimitParallelPair {C : Type u} [𝒞 :
           ext
           · simpa using h₁
           · simpa using h₂ }
-#align category_theory.limits.has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair CategoryTheory.Limits.hasLimitCospanOfHasLimitPairOfHasLimitParallelPair
+#align category_theory.limits.has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair CategoryTheory.Limits.hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair
 
 section
 
@@ -59,15 +59,15 @@ attribute [local instance] has_limit_cospan_of_has_limit_pair_of_has_limit_paral
     pullbacks. -/
 theorem hasPullbacks_of_hasBinaryProducts_of_hasEqualizers (C : Type u) [𝒞 : Category.{v} C]
     [HasBinaryProducts C] [HasEqualizers C] : HasPullbacks C :=
-  { HasLimit := fun F => hasLimitOfIso (diagramIsoCospan F).symm }
+  { HasLimit := fun F => hasLimit_of_iso (diagramIsoCospan F).symm }
 #align category_theory.limits.has_pullbacks_of_has_binary_products_of_has_equalizers CategoryTheory.Limits.hasPullbacks_of_hasBinaryProducts_of_hasEqualizers
 
 end
 
 /-- If the coproduct `Y ⨿ Z` and the coequalizer of `f ≫ ι₁` and `g ≫ ι₂` exist, then the
     pushout of `f` and `g` exists: It is given by composing the inclusions with the coequalizer. -/
-theorem hasColimitSpanOfHasColimitPairOfHasColimitParallelPair {C : Type u} [𝒞 : Category.{v} C]
-    {X Y Z : C} (f : X ⟶ Y) (g : X ⟶ Z) [HasColimit (pair Y Z)]
+theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type u}
+    [𝒞 : Category.{v} C] {X Y Z : C} (f : X ⟶ Y) (g : X ⟶ Z) [HasColimit (pair Y Z)]
     [HasColimit (parallelPair (f ≫ coprod.inl) (g ≫ coprod.inr))] : HasColimit (span f g) :=
   let ι₁ : Y ⟶ Y ⨿ Z := coprod.inl
   let ι₂ : Z ⟶ Y ⨿ Z := coprod.inr
@@ -87,7 +87,7 @@ theorem hasColimitSpanOfHasColimitPairOfHasColimitParallelPair {C : Type u} [
           ext
           · simpa using h₁
           · simpa using h₂ }
-#align category_theory.limits.has_colimit_span_of_has_colimit_pair_of_has_colimit_parallel_pair CategoryTheory.Limits.hasColimitSpanOfHasColimitPairOfHasColimitParallelPair
+#align category_theory.limits.has_colimit_span_of_has_colimit_pair_of_has_colimit_parallel_pair CategoryTheory.Limits.hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair
 
 section
 

Changes in mathlib4

mathlib3
mathlib4
chore: prepare Lean version bump with explicit simp (#10999)

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

Diff
@@ -39,7 +39,7 @@ theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [
           (prod.lift (s.π.app WalkingCospan.left) (s.π.app WalkingCospan.right)) <| by
               rw [← Category.assoc, limit.lift_π, ← Category.assoc, limit.lift_π];
                 exact PullbackCone.condition _)
-          (by simp) (by simp) fun s m h₁ h₂ => by
+          (by simp [π₁, e]) (by simp [π₂, e]) fun s m h₁ h₂ => by
           ext
           · dsimp; simpa using h₁
           · simpa using h₂ }
@@ -77,7 +77,7 @@ theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type
               (coprod.desc (s.ι.app WalkingSpan.left) (s.ι.app WalkingSpan.right)) <| by
             rw [Category.assoc, colimit.ι_desc, Category.assoc, colimit.ι_desc]
             exact PushoutCocone.condition _)
-          (by simp) (by simp) fun s m h₁ h₂ => by
+          (by simp [ι₁, c]) (by simp [ι₂, c]) fun s m h₁ h₂ => by
           ext
           · simpa using h₁
           · simpa using h₂ }
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
@@ -2,16 +2,13 @@
 Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.constructions.pullbacks
-! leanprover-community/mathlib commit cd7a8a184d7c5635e30083eabc4baf5589c30b7a
-! 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
 import Mathlib.CategoryTheory.Limits.Shapes.Pullbacks
 
+#align_import category_theory.limits.constructions.pullbacks from "leanprover-community/mathlib"@"cd7a8a184d7c5635e30083eabc4baf5589c30b7a"
+
 /-!
 # Constructing pullbacks from binary products and equalizers
 
feat: more consistent use of ext, and updating porting notes. (#5242)

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

Diff
@@ -43,8 +43,7 @@ theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [
               rw [← Category.assoc, limit.lift_π, ← Category.assoc, limit.lift_π];
                 exact PullbackCone.condition _)
           (by simp) (by simp) fun s m h₁ h₂ => by
-          apply equalizer.hom_ext
-          apply prod.hom_ext
+          ext
           · dsimp; simpa using h₁
           · simpa using h₂ }
 #align category_theory.limits.has_limit_cospan_of_has_limit_pair_of_has_limit_parallel_pair CategoryTheory.Limits.hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair
@@ -82,8 +81,7 @@ theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type
             rw [Category.assoc, colimit.ι_desc, Category.assoc, colimit.ι_desc]
             exact PushoutCocone.condition _)
           (by simp) (by simp) fun s m h₁ h₂ => by
-          apply coequalizer.hom_ext
-          apply coprod.hom_ext
+          ext
           · simpa using h₁
           · simpa using h₂ }
 #align category_theory.limits.has_colimit_span_of_has_colimit_pair_of_has_colimit_parallel_pair CategoryTheory.Limits.hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair
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".

Diff
@@ -77,11 +77,10 @@ theorem hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair {C : Type
           rw [← Category.assoc, ← Category.assoc, coequalizer.condition]
       isColimit :=
         PushoutCocone.IsColimit.mk _
-          (fun s =>
-            coequalizer.desc (coprod.desc (s.ι.app WalkingSpan.left) (s.ι.app WalkingSpan.right)) <|
-              by
-              rw [Category.assoc, colimit.ι_desc, Category.assoc, colimit.ι_desc];
-                exact PushoutCocone.condition _)
+          (fun s => coequalizer.desc
+              (coprod.desc (s.ι.app WalkingSpan.left) (s.ι.app WalkingSpan.right)) <| by
+            rw [Category.assoc, colimit.ι_desc, Category.assoc, colimit.ι_desc]
+            exact PushoutCocone.condition _)
           (by simp) (by simp) fun s m h₁ h₂ => by
           apply coequalizer.hom_ext
           apply coprod.hom_ext
chore: strip trailing spaces in lean files (#2828)

vscode is already configured by .vscode/settings.json to trim these on save. It's not clear how they've managed to stick around.

By doing this all in one PR now, it avoids getting random whitespace diffs in PRs later.

This was done with a regex search in vscode,

image

Diff
@@ -38,12 +38,12 @@ theorem hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair {C : Type u} [
     { cone :=
         PullbackCone.mk (e ≫ π₁) (e ≫ π₂) <| by rw [Category.assoc, equalizer.condition]; simp
       isLimit :=
-        PullbackCone.IsLimit.mk _ (fun s => equalizer.lift 
+        PullbackCone.IsLimit.mk _ (fun s => equalizer.lift
           (prod.lift (s.π.app WalkingCospan.left) (s.π.app WalkingCospan.right)) <| by
               rw [← Category.assoc, limit.lift_π, ← Category.assoc, limit.lift_π];
                 exact PullbackCone.condition _)
           (by simp) (by simp) fun s m h₁ h₂ => by
-          apply equalizer.hom_ext 
+          apply equalizer.hom_ext
           apply prod.hom_ext
           · dsimp; simpa using h₁
           · simpa using h₂ }
@@ -104,4 +104,3 @@ theorem hasPushouts_of_hasBinaryCoproducts_of_hasCoequalizers (C : Type u) [Cate
 end
 
 end CategoryTheory.Limits
-
feat: port CategoryTheory.Limits.Constructions.Pullbacks (#2658)

Dependencies 111

112 files ported (100.0%)
45560 lines ported (100.0%)

All dependencies are ported!