category_theory.limits.constructions.filteredMathlib.CategoryTheory.Limits.Constructions.Filtered

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
@@ -83,7 +83,8 @@ open CoproductsFromFiniteFiltered
 
 #print CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered /-
 theorem hasCoproducts_of_finite_and_filtered [HasFiniteCoproducts C]
-    [HasFilteredColimitsOfSize.{w, w} C] : HasCoproducts.{w} C := fun α => by classical
+    [HasFilteredColimitsOfSize.{w, w} C] : HasCoproducts.{w} C := fun α => by
+  classical exact ⟨fun F => has_colimit.mk (lift_to_finset_colimit_cocone F)⟩
 #align category_theory.limits.has_coproducts_of_finite_and_filtered CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered
 -/
 
Diff
@@ -83,8 +83,7 @@ open CoproductsFromFiniteFiltered
 
 #print CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered /-
 theorem hasCoproducts_of_finite_and_filtered [HasFiniteCoproducts C]
-    [HasFilteredColimitsOfSize.{w, w} C] : HasCoproducts.{w} C := fun α => by
-  classical exact ⟨fun F => has_colimit.mk (lift_to_finset_colimit_cocone F)⟩
+    [HasFilteredColimitsOfSize.{w, w} C] : HasCoproducts.{w} C := fun α => by classical
 #align category_theory.limits.has_coproducts_of_finite_and_filtered CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered
 -/
 
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 -/
-import Mathbin.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
-import Mathbin.CategoryTheory.Limits.Opposites
+import CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
+import CategoryTheory.Limits.Opposites
 
 #align_import category_theory.limits.constructions.filtered from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.filtered
-! 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.Constructions.LimitsOfProductsAndEqualizers
 import Mathbin.CategoryTheory.Limits.Opposites
 
+#align_import category_theory.limits.constructions.filtered from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Constructing colimits from finite colimits and filtered colimits
 
Diff
@@ -73,7 +73,7 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
           { pt := s.pt
             ι := { app := fun t => Sigma.desc fun x => s.ι.app x } }
       uniq := fun s m h => by
-        ext (t⟨⟨j, hj⟩⟩)
+        ext t ⟨⟨j, hj⟩⟩
         convert h j using 1
         · simp [← colimit.w (lift_to_finset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]; rfl
         · tidy }
Diff
@@ -75,8 +75,7 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
       uniq := fun s m h => by
         ext (t⟨⟨j, hj⟩⟩)
         convert h j using 1
-        · simp [← colimit.w (lift_to_finset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]
-          rfl
+        · simp [← colimit.w (lift_to_finset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]; rfl
         · tidy }
 #align category_theory.limits.coproducts_from_finite_filtered.lift_to_finset_colimit_cocone CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimitCocone
 -/
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.filtered
-! leanprover-community/mathlib commit e4ee4e30418efcb8cf304ba76ad653aeec04ba6e
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Limits.Opposites
 /-!
 # Constructing colimits from finite colimits and filtered colimits
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We construct colimits of size `w` from finite colimits and filtered colimits of size `w`. Since
 `w`-sized colimits are constructured from coequalizers and `w`-sized coproducts, it suffices to
 construct `w`-sized coproducts from finite coproducts and `w`-sized filtered colimits.
Diff
@@ -39,6 +39,7 @@ namespace CoproductsFromFiniteFiltered
 
 attribute [local tidy] tactic.case_bash
 
+#print CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinset /-
 /-- If `C` has finite coproducts, a functor `discrete α ⥤ C` lifts to a functor
     `finset (discrete α) ⥤ C` by taking coproducts. -/
 @[simps]
@@ -47,7 +48,9 @@ def liftToFinset [HasFiniteCoproducts C] (F : Discrete α ⥤ C) : Finset (Discr
   obj s := ∐ fun x : s => F.obj x
   map s t h := Sigma.desc fun y => Sigma.ι (fun x : t => F.obj x) ⟨y, h.down.down y.2⟩
 #align category_theory.limits.coproducts_from_finite_filtered.lift_to_finset CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinset
+-/
 
+#print CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimitCocone /-
 /-- If `C` has finite coproducts and filtered colimits, we can construct arbitrary coproducts by
     taking the colimit of the diagram formed by the coproducts of finite sets over the indexing
     type. -/
@@ -73,33 +76,42 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
           rfl
         · tidy }
 #align category_theory.limits.coproducts_from_finite_filtered.lift_to_finset_colimit_cocone CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimitCocone
+-/
 
 end CoproductsFromFiniteFiltered
 
 open CoproductsFromFiniteFiltered
 
+#print CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered /-
 theorem hasCoproducts_of_finite_and_filtered [HasFiniteCoproducts C]
     [HasFilteredColimitsOfSize.{w, w} C] : HasCoproducts.{w} C := fun α => by
   classical exact ⟨fun F => has_colimit.mk (lift_to_finset_colimit_cocone F)⟩
 #align category_theory.limits.has_coproducts_of_finite_and_filtered CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered
+-/
 
+#print CategoryTheory.Limits.has_colimits_of_finite_and_filtered /-
 theorem has_colimits_of_finite_and_filtered [HasFiniteColimits C]
     [HasFilteredColimitsOfSize.{w, w} C] : HasColimitsOfSize.{w, w} C :=
   have : HasCoproducts.{w} C := hasCoproducts_of_finite_and_filtered
   has_colimits_of_has_coequalizers_and_coproducts
 #align category_theory.limits.has_colimits_of_finite_and_filtered CategoryTheory.Limits.has_colimits_of_finite_and_filtered
+-/
 
+#print CategoryTheory.Limits.hasProducts_of_finite_and_cofiltered /-
 theorem hasProducts_of_finite_and_cofiltered [HasFiniteProducts C]
     [HasCofilteredLimitsOfSize.{w, w} C] : HasProducts.{w} C :=
   have : HasCoproducts.{w} Cᵒᵖ := hasCoproducts_of_finite_and_filtered
   has_products_of_opposite
 #align category_theory.limits.has_products_of_finite_and_cofiltered CategoryTheory.Limits.hasProducts_of_finite_and_cofiltered
+-/
 
+#print CategoryTheory.Limits.has_limits_of_finite_and_cofiltered /-
 theorem has_limits_of_finite_and_cofiltered [HasFiniteLimits C]
     [HasCofilteredLimitsOfSize.{w, w} C] : HasLimitsOfSize.{w, w} C :=
   have : HasProducts.{w} C := hasProducts_of_finite_and_cofiltered
   has_limits_of_has_equalizers_and_products
 #align category_theory.limits.has_limits_of_finite_and_cofiltered CategoryTheory.Limits.has_limits_of_finite_and_cofiltered
+-/
 
 end CategoryTheory.Limits
 
Diff
@@ -56,7 +56,7 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
     [DecidableEq α] (F : Discrete α ⥤ C) : ColimitCocone F
     where
   Cocone :=
-    { x := colimit (liftToFinset F)
+    { pt := colimit (liftToFinset F)
       ι :=
         Discrete.natTrans fun j =>
           @Sigma.ι _ _ _ (fun x : ({j} : Finset (Discrete α)) => F.obj x) _ ⟨j, by simp⟩ ≫
@@ -64,7 +64,7 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
   IsColimit :=
     { desc := fun s =>
         colimit.desc (liftToFinset F)
-          { x := s.x
+          { pt := s.pt
             ι := { app := fun t => Sigma.desc fun x => s.ι.app x } }
       uniq := fun s m h => by
         ext (t⟨⟨j, hj⟩⟩)
Diff
@@ -66,7 +66,7 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
         colimit.desc (liftToFinset F)
           { x := s.x
             ι := { app := fun t => Sigma.desc fun x => s.ι.app x } }
-      uniq' := fun s m h => by
+      uniq := fun s m h => by
         ext (t⟨⟨j, hj⟩⟩)
         convert h j using 1
         · simp [← colimit.w (lift_to_finset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]
@@ -83,11 +83,11 @@ theorem hasCoproducts_of_finite_and_filtered [HasFiniteCoproducts C]
   classical exact ⟨fun F => has_colimit.mk (lift_to_finset_colimit_cocone F)⟩
 #align category_theory.limits.has_coproducts_of_finite_and_filtered CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered
 
-theorem hasColimitsOfFiniteAndFiltered [HasFiniteColimits C] [HasFilteredColimitsOfSize.{w, w} C] :
-    HasColimitsOfSize.{w, w} C :=
+theorem has_colimits_of_finite_and_filtered [HasFiniteColimits C]
+    [HasFilteredColimitsOfSize.{w, w} C] : HasColimitsOfSize.{w, w} C :=
   have : HasCoproducts.{w} C := hasCoproducts_of_finite_and_filtered
   has_colimits_of_has_coequalizers_and_coproducts
-#align category_theory.limits.has_colimits_of_finite_and_filtered CategoryTheory.Limits.hasColimitsOfFiniteAndFiltered
+#align category_theory.limits.has_colimits_of_finite_and_filtered CategoryTheory.Limits.has_colimits_of_finite_and_filtered
 
 theorem hasProducts_of_finite_and_cofiltered [HasFiniteProducts C]
     [HasCofilteredLimitsOfSize.{w, w} C] : HasProducts.{w} C :=
@@ -95,11 +95,11 @@ theorem hasProducts_of_finite_and_cofiltered [HasFiniteProducts C]
   has_products_of_opposite
 #align category_theory.limits.has_products_of_finite_and_cofiltered CategoryTheory.Limits.hasProducts_of_finite_and_cofiltered
 
-theorem hasLimitsOfFiniteAndCofiltered [HasFiniteLimits C] [HasCofilteredLimitsOfSize.{w, w} C] :
-    HasLimitsOfSize.{w, w} C :=
+theorem has_limits_of_finite_and_cofiltered [HasFiniteLimits C]
+    [HasCofilteredLimitsOfSize.{w, w} C] : HasLimitsOfSize.{w, w} C :=
   have : HasProducts.{w} C := hasProducts_of_finite_and_cofiltered
   has_limits_of_has_equalizers_and_products
-#align category_theory.limits.has_limits_of_finite_and_cofiltered CategoryTheory.Limits.hasLimitsOfFiniteAndCofiltered
+#align category_theory.limits.has_limits_of_finite_and_cofiltered CategoryTheory.Limits.has_limits_of_finite_and_cofiltered
 
 end CategoryTheory.Limits
 

Changes in mathlib4

mathlib3
mathlib4
feat(Finset): add IsDirected instances (#6169)

This way IsDirected (Finset α) (· ≤ ·) doesn't need [DecidableEq α].

Diff
@@ -48,7 +48,7 @@ def liftToFinset [HasFiniteCoproducts C] (F : Discrete α ⥤ C) : Finset (Discr
     type. -/
 @[simps!]
 def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize.{w, w} C]
-    [DecidableEq α] (F : Discrete α ⥤ C) : ColimitCocone F where
+    (F : Discrete α ⥤ C) : ColimitCocone F where
   cocone :=
     { pt := colimit (liftToFinset F)
       ι :=
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
@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.filtered
-! leanprover-community/mathlib commit e4ee4e30418efcb8cf304ba76ad653aeec04ba6e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 import Mathlib.CategoryTheory.Limits.Opposites
 
+#align_import category_theory.limits.constructions.filtered from "leanprover-community/mathlib"@"e4ee4e30418efcb8cf304ba76ad653aeec04ba6e"
+
 /-!
 # Constructing colimits from finite colimits and filtered colimits
 
chore: fix focusing dots (#5708)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

Diff
@@ -70,9 +70,9 @@ def liftToFinsetColimitCocone [HasFiniteCoproducts C] [HasFilteredColimitsOfSize
         apply colimit.hom_ext
         rintro ⟨⟨j, hj⟩⟩
         convert h j using 1
-        . simp [← colimit.w (liftToFinset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]
+        · simp [← colimit.w (liftToFinset F) ⟨⟨Finset.singleton_subset_iff.2 hj⟩⟩]
           rfl
-        . aesop_cat }
+        · aesop_cat }
 #align category_theory.limits.coproducts_from_finite_filtered.lift_to_finset_colimit_cocone CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToFinsetColimitCocone
 
 end CoproductsFromFiniteFiltered
chore: fix many typos (#4967)

These are all doc fixes

Diff
@@ -15,7 +15,7 @@ import Mathlib.CategoryTheory.Limits.Opposites
 # Constructing colimits from finite colimits and filtered colimits
 
 We construct colimits of size `w` from finite colimits and filtered colimits of size `w`. Since
-`w`-sized colimits are constructured from coequalizers and `w`-sized coproducts, it suffices to
+`w`-sized colimits are constructed from coequalizers and `w`-sized coproducts, it suffices to
 construct `w`-sized coproducts from finite coproducts and `w`-sized filtered colimits.
 
 The idea is simple: to construct coproducts of shape `α`, we take the colimit of the filtered
feat: port CategoryTheory.Limits.Constructions.Filtered (#2832)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

Dependencies 2 + 270

271 files ported (99.3%)
109234 lines ported (99.9%)
Show graph

The unported dependencies are