category_theory.limits.piMathlib.CategoryTheory.Limits.Pi

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
@@ -3,8 +3,8 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Pi.Basic
-import Mathbin.CategoryTheory.Limits.HasLimits
+import CategoryTheory.Pi.Basic
+import CategoryTheory.Limits.HasLimits
 
 #align_import category_theory.limits.pi from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
 
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: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.limits.pi
-! 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.Pi.Basic
 import Mathbin.CategoryTheory.Limits.HasLimits
 
+#align_import category_theory.limits.pi from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Limits in the category of indexed families of objects.
 
Diff
@@ -73,9 +73,7 @@ def coneOfConeCompEval (c : ∀ i, Cone (F ⋙ Pi.eval C i)) : Cone F
   pt i := (c i).pt
   π :=
     { app := fun j i => (c i).π.app j
-      naturality' := fun j j' f => by
-        ext i
-        exact (c i).π.naturality f }
+      naturality' := fun j j' f => by ext i; exact (c i).π.naturality f }
 #align category_theory.pi.cone_of_cone_comp_eval CategoryTheory.pi.coneOfConeCompEval
 -/
 
@@ -88,9 +86,7 @@ def coconeOfCoconeCompEval (c : ∀ i, Cocone (F ⋙ Pi.eval C i)) : Cocone F
   pt i := (c i).pt
   ι :=
     { app := fun j i => (c i).ι.app j
-      naturality' := fun j j' f => by
-        ext i
-        exact (c i).ι.naturality f }
+      naturality' := fun j j' f => by ext i; exact (c i).ι.naturality f }
 #align category_theory.pi.cocone_of_cocone_comp_eval CategoryTheory.pi.coconeOfCoconeCompEval
 -/
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.limits.pi
-! leanprover-community/mathlib commit 744d59af0b28d0c42f631038627df9b85ae1d1ce
+! 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.HasLimits
 /-!
 # Limits in the category of indexed families of objects.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Given a functor `F : J ⥤ Π i, C i` into a category of indexed families,
 1. we can assemble a collection of cones over `F ⋙ pi.eval C i` into a cone over `F`
 2. if all those cones are limit cones, the assembled cone is a limit cone, and
Diff
@@ -36,6 +36,7 @@ variable {J : Type v₁} [SmallCategory J]
 
 variable {F : J ⥤ ∀ i, C i}
 
+#print CategoryTheory.pi.coneCompEval /-
 /-- A cone over `F : J ⥤ Π i, C i` has as its components cones over each of the `F ⋙ pi.eval C i`.
 -/
 def coneCompEval (c : Cone F) (i : I) : Cone (F ⋙ Pi.eval C i)
@@ -45,7 +46,9 @@ def coneCompEval (c : Cone F) (i : I) : Cone (F ⋙ Pi.eval C i)
     { app := fun j => c.π.app j i
       naturality' := fun j j' f => congr_fun (c.π.naturality f) i }
 #align category_theory.pi.cone_comp_eval CategoryTheory.pi.coneCompEval
+-/
 
+#print CategoryTheory.pi.coconeCompEval /-
 /--
 A cocone over `F : J ⥤ Π i, C i` has as its components cocones over each of the `F ⋙ pi.eval C i`.
 -/
@@ -56,7 +59,9 @@ def coconeCompEval (c : Cocone F) (i : I) : Cocone (F ⋙ Pi.eval C i)
     { app := fun j => c.ι.app j i
       naturality' := fun j j' f => congr_fun (c.ι.naturality f) i }
 #align category_theory.pi.cocone_comp_eval CategoryTheory.pi.coconeCompEval
+-/
 
+#print CategoryTheory.pi.coneOfConeCompEval /-
 /--
 Given a family of cones over the `F ⋙ pi.eval C i`, we can assemble these together as a `cone F`.
 -/
@@ -69,7 +74,9 @@ def coneOfConeCompEval (c : ∀ i, Cone (F ⋙ Pi.eval C i)) : Cone F
         ext i
         exact (c i).π.naturality f }
 #align category_theory.pi.cone_of_cone_comp_eval CategoryTheory.pi.coneOfConeCompEval
+-/
 
+#print CategoryTheory.pi.coconeOfCoconeCompEval /-
 /-- Given a family of cocones over the `F ⋙ pi.eval C i`,
 we can assemble these together as a `cocone F`.
 -/
@@ -82,7 +89,9 @@ def coconeOfCoconeCompEval (c : ∀ i, Cocone (F ⋙ Pi.eval C i)) : Cocone F
         ext i
         exact (c i).ι.naturality f }
 #align category_theory.pi.cocone_of_cocone_comp_eval CategoryTheory.pi.coconeOfCoconeCompEval
+-/
 
+#print CategoryTheory.pi.coneOfConeEvalIsLimit /-
 /-- Given a family of limit cones over the `F ⋙ pi.eval C i`,
 assembling them together as a `cone F` produces a limit cone.
 -/
@@ -97,7 +106,9 @@ def coneOfConeEvalIsLimit {c : ∀ i, Cone (F ⋙ Pi.eval C i)} (P : ∀ i, IsLi
     ext i
     exact (P i).uniq (cone_comp_eval s i) (m i) fun j => congr_fun (w j) i
 #align category_theory.pi.cone_of_cone_eval_is_limit CategoryTheory.pi.coneOfConeEvalIsLimit
+-/
 
+#print CategoryTheory.pi.coconeOfCoconeEvalIsColimit /-
 /-- Given a family of colimit cocones over the `F ⋙ pi.eval C i`,
 assembling them together as a `cocone F` produces a colimit cocone.
 -/
@@ -112,11 +123,13 @@ def coconeOfCoconeEvalIsColimit {c : ∀ i, Cocone (F ⋙ Pi.eval C i)} (P : ∀
     ext i
     exact (P i).uniq (cocone_comp_eval s i) (m i) fun j => congr_fun (w j) i
 #align category_theory.pi.cocone_of_cocone_eval_is_colimit CategoryTheory.pi.coconeOfCoconeEvalIsColimit
+-/
 
 section
 
 variable [∀ i, HasLimit (F ⋙ Pi.eval C i)]
 
+#print CategoryTheory.pi.hasLimit_of_hasLimit_comp_eval /-
 /-- If we have a functor `F : J ⥤ Π i, C i` into a category of indexed families,
 and we have limits for each of the `F ⋙ pi.eval C i`,
 then `F` has a limit.
@@ -126,6 +139,7 @@ theorem hasLimit_of_hasLimit_comp_eval : HasLimit F :=
     { Cone := coneOfConeCompEval fun i => limit.cone _
       IsLimit := coneOfConeEvalIsLimit fun i => limit.isLimit _ }
 #align category_theory.pi.has_limit_of_has_limit_comp_eval CategoryTheory.pi.hasLimit_of_hasLimit_comp_eval
+-/
 
 end
 
@@ -133,6 +147,7 @@ section
 
 variable [∀ i, HasColimit (F ⋙ Pi.eval C i)]
 
+#print CategoryTheory.pi.hasColimit_of_hasColimit_comp_eval /-
 /-- If we have a functor `F : J ⥤ Π i, C i` into a category of indexed families,
 and colimits exist for each of the `F ⋙ pi.eval C i`,
 there is a colimit for `F`.
@@ -142,6 +157,7 @@ theorem hasColimit_of_hasColimit_comp_eval : HasColimit F :=
     { Cocone := coconeOfCoconeCompEval fun i => colimit.cocone _
       IsColimit := coconeOfCoconeEvalIsColimit fun i => colimit.isColimit _ }
 #align category_theory.pi.has_colimit_of_has_colimit_comp_eval CategoryTheory.pi.hasColimit_of_hasColimit_comp_eval
+-/
 
 end
 
Diff
@@ -40,7 +40,7 @@ variable {F : J ⥤ ∀ i, C i}
 -/
 def coneCompEval (c : Cone F) (i : I) : Cone (F ⋙ Pi.eval C i)
     where
-  x := c.x i
+  pt := c.pt i
   π :=
     { app := fun j => c.π.app j i
       naturality' := fun j j' f => congr_fun (c.π.naturality f) i }
@@ -51,7 +51,7 @@ A cocone over `F : J ⥤ Π i, C i` has as its components cocones over each of t
 -/
 def coconeCompEval (c : Cocone F) (i : I) : Cocone (F ⋙ Pi.eval C i)
     where
-  x := c.x i
+  pt := c.pt i
   ι :=
     { app := fun j => c.ι.app j i
       naturality' := fun j j' f => congr_fun (c.ι.naturality f) i }
@@ -62,7 +62,7 @@ Given a family of cones over the `F ⋙ pi.eval C i`, we can assemble these toge
 -/
 def coneOfConeCompEval (c : ∀ i, Cone (F ⋙ Pi.eval C i)) : Cone F
     where
-  x i := (c i).x
+  pt i := (c i).pt
   π :=
     { app := fun j i => (c i).π.app j
       naturality' := fun j j' f => by
@@ -75,7 +75,7 @@ we can assemble these together as a `cocone F`.
 -/
 def coconeOfCoconeCompEval (c : ∀ i, Cocone (F ⋙ Pi.eval C i)) : Cocone F
     where
-  x i := (c i).x
+  pt i := (c i).pt
   ι :=
     { app := fun j i => (c i).ι.app j
       naturality' := fun j j' f => by
@@ -123,7 +123,7 @@ then `F` has a limit.
 -/
 theorem hasLimit_of_hasLimit_comp_eval : HasLimit F :=
   HasLimit.mk
-    { Cone := coneOfConeCompEval fun i => Limit.cone _
+    { Cone := coneOfConeCompEval fun i => limit.cone _
       IsLimit := coneOfConeEvalIsLimit fun i => limit.isLimit _ }
 #align category_theory.pi.has_limit_of_has_limit_comp_eval CategoryTheory.pi.hasLimit_of_hasLimit_comp_eval
 
@@ -139,7 +139,7 @@ there is a colimit for `F`.
 -/
 theorem hasColimit_of_hasColimit_comp_eval : HasColimit F :=
   HasColimit.mk
-    { Cocone := coconeOfCoconeCompEval fun i => Colimit.cocone _
+    { Cocone := coconeOfCoconeCompEval fun i => colimit.cocone _
       IsColimit := coconeOfCoconeEvalIsColimit fun i => colimit.isColimit _ }
 #align category_theory.pi.has_colimit_of_has_colimit_comp_eval CategoryTheory.pi.hasColimit_of_hasColimit_comp_eval
 
Diff
@@ -90,10 +90,10 @@ def coneOfConeEvalIsLimit {c : ∀ i, Cone (F ⋙ Pi.eval C i)} (P : ∀ i, IsLi
     IsLimit (coneOfConeCompEval c)
     where
   lift s i := (P i).lift (coneCompEval s i)
-  fac' s j := by
+  fac s j := by
     ext i
     exact (P i).fac (cone_comp_eval s i) j
-  uniq' s m w := by
+  uniq s m w := by
     ext i
     exact (P i).uniq (cone_comp_eval s i) (m i) fun j => congr_fun (w j) i
 #align category_theory.pi.cone_of_cone_eval_is_limit CategoryTheory.pi.coneOfConeEvalIsLimit
@@ -105,10 +105,10 @@ def coconeOfCoconeEvalIsColimit {c : ∀ i, Cocone (F ⋙ Pi.eval C i)} (P : ∀
     IsColimit (coconeOfCoconeCompEval c)
     where
   desc s i := (P i).desc (coconeCompEval s i)
-  fac' s j := by
+  fac s j := by
     ext i
     exact (P i).fac (cocone_comp_eval s i) j
-  uniq' s m w := by
+  uniq s m w := by
     ext i
     exact (P i).uniq (cocone_comp_eval s i) (m i) fun j => congr_fun (w j) i
 #align category_theory.pi.cocone_of_cocone_eval_is_colimit CategoryTheory.pi.coconeOfCoconeEvalIsColimit
@@ -121,11 +121,11 @@ variable [∀ i, HasLimit (F ⋙ Pi.eval C i)]
 and we have limits for each of the `F ⋙ pi.eval C i`,
 then `F` has a limit.
 -/
-theorem hasLimitOfHasLimitCompEval : HasLimit F :=
+theorem hasLimit_of_hasLimit_comp_eval : HasLimit F :=
   HasLimit.mk
     { Cone := coneOfConeCompEval fun i => Limit.cone _
       IsLimit := coneOfConeEvalIsLimit fun i => limit.isLimit _ }
-#align category_theory.pi.has_limit_of_has_limit_comp_eval CategoryTheory.pi.hasLimitOfHasLimitCompEval
+#align category_theory.pi.has_limit_of_has_limit_comp_eval CategoryTheory.pi.hasLimit_of_hasLimit_comp_eval
 
 end
 
@@ -137,11 +137,11 @@ variable [∀ i, HasColimit (F ⋙ Pi.eval C i)]
 and colimits exist for each of the `F ⋙ pi.eval C i`,
 there is a colimit for `F`.
 -/
-theorem hasColimitOfHasColimitCompEval : HasColimit F :=
+theorem hasColimit_of_hasColimit_comp_eval : HasColimit F :=
   HasColimit.mk
     { Cocone := coconeOfCoconeCompEval fun i => Colimit.cocone _
       IsColimit := coconeOfCoconeEvalIsColimit fun i => colimit.isColimit _ }
-#align category_theory.pi.has_colimit_of_has_colimit_comp_eval CategoryTheory.pi.hasColimitOfHasColimitCompEval
+#align category_theory.pi.has_colimit_of_has_colimit_comp_eval CategoryTheory.pi.hasColimit_of_hasColimit_comp_eval
 
 end
 

Changes in mathlib4

mathlib3
mathlib4
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
@@ -28,9 +28,7 @@ namespace CategoryTheory.pi
 universe v₁ v₂ u₁ u₂
 
 variable {I : Type v₁} {C : I → Type u₁} [∀ i, Category.{v₁} (C i)]
-
 variable {J : Type v₁} [SmallCategory J]
-
 variable {F : J ⥤ ∀ i, C i}
 
 /-- A cone over `F : J ⥤ Π i, C i` has as its components cones over each of the `F ⋙ Pi.eval C i`.
chore: fix some Lean-3-isms in comments (#10240)
Diff
@@ -144,7 +144,7 @@ With the addition of
 `import CategoryTheory.Limits.Shapes.Types`
 we can use:
 ```
-local attribute [instance] hasLimit_of_hasLimit_comp_eval
+attribute [local instance] hasLimit_of_hasLimit_comp_eval
 example : hasBinaryProducts (I → Type v₁) := ⟨by infer_instance⟩
 ```
 -/
chore: script to replace headers with #align_import statements (#5979)

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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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.limits.pi
-! leanprover-community/mathlib commit 744d59af0b28d0c42f631038627df9b85ae1d1ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Pi.Basic
 import Mathlib.CategoryTheory.Limits.HasLimits
 
+#align_import category_theory.limits.pi from "leanprover-community/mathlib"@"744d59af0b28d0c42f631038627df9b85ae1d1ce"
+
 /-!
 # Limits in the category of indexed families of objects.
 
chore: fix tactic usage in docs (#4179)
Diff
@@ -148,7 +148,7 @@ With the addition of
 we can use:
 ```
 local attribute [instance] hasLimit_of_hasLimit_comp_eval
-example : hasBinaryProducts (I → Type v₁) := ⟨by apply_instance⟩
+example : hasBinaryProducts (I → Type v₁) := ⟨by infer_instance⟩
 ```
 -/
 
feat: port CategoryTheory.Limits.Pi (#2854)

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

Dependencies 73

74 files ported (100.0%)
25418 lines ported (100.0%)

All dependencies are ported!