category_theory.monoidal.internal.limitsMathlib.CategoryTheory.Monoidal.Internal.Limits

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 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Monoidal.Internal.FunctorCategory
-import Mathbin.CategoryTheory.Monoidal.Limits
-import Mathbin.CategoryTheory.Limits.Preserves.Basic
+import CategoryTheory.Monoidal.Internal.FunctorCategory
+import CategoryTheory.Monoidal.Limits
+import CategoryTheory.Limits.Preserves.Basic
 
 #align_import category_theory.monoidal.internal.limits from "leanprover-community/mathlib"@"e160cefedc932ce41c7049bf0c4b0f061d06216e"
 
Diff
@@ -2,16 +2,13 @@
 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.monoidal.internal.limits
-! leanprover-community/mathlib commit e160cefedc932ce41c7049bf0c4b0f061d06216e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.Internal.FunctorCategory
 import Mathbin.CategoryTheory.Monoidal.Limits
 import Mathbin.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.monoidal.internal.limits from "leanprover-community/mathlib"@"e160cefedc932ce41c7049bf0c4b0f061d06216e"
+
 /-!
 # Limits of monoid objects.
 
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.monoidal.internal.limits
-! leanprover-community/mathlib commit 12921e9eaa574d0087ae4856860e6dda8690a438
+! leanprover-community/mathlib commit e160cefedc932ce41c7049bf0c4b0f061d06216e
 ! 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.Preserves.Basic
 /-!
 # Limits of monoid objects.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 If `C` has limits, so does `Mon_ C`, and the forgetful functor preserves these limits.
 
 (This could potentially replace many individual constructions for concrete categories,
Diff
@@ -38,6 +38,7 @@ variable {J : Type v} [SmallCategory J]
 
 variable {C : Type u} [Category.{v} C] [HasLimits C] [MonoidalCategory.{v} C]
 
+#print Mon_.limit /-
 /-- We construct the (candidate) limit of a functor `F : J ⥤ Mon_ C`
 by interpreting it as a functor `Mon_ (J ⥤ C)`,
 and noting that taking limits is a lax monoidal functor,
@@ -47,7 +48,9 @@ and hence sends monoid objects to monoid objects.
 def limit (F : J ⥤ Mon_ C) : Mon_ C :=
   limLax.mapMon.obj (MonFunctorCategoryEquivalence.inverse.obj F)
 #align Mon_.limit Mon_.limit
+-/
 
+#print Mon_.limitCone /-
 /-- Implementation of `Mon_.has_limits`: a limiting cone over a functor `F : J ⥤ Mon_ C`.
 -/
 @[simps]
@@ -57,7 +60,9 @@ def limitCone (F : J ⥤ Mon_ C) : Cone F where
     { app := fun j => { Hom := limit.π (F ⋙ Mon_.forget C) j }
       naturality' := fun j j' f => by ext; exact (limit.cone (F ⋙ Mon_.forget C)).π.naturality f }
 #align Mon_.limit_cone Mon_.limitCone
+-/
 
+#print Mon_.forgetMapConeLimitConeIso /-
 /-- The image of the proposed limit cone for `F : J ⥤ Mon_ C` under the forgetful functor
 `forget C : Mon_ C ⥤ C` is isomorphic to the limit cone of `F ⋙ forget C`.
 -/
@@ -65,7 +70,9 @@ def forgetMapConeLimitConeIso (F : J ⥤ Mon_ C) :
     (forget C).mapCone (limitCone F) ≅ limit.cone (F ⋙ forget C) :=
   Cones.ext (Iso.refl _) fun j => by tidy
 #align Mon_.forget_map_cone_limit_cone_iso Mon_.forgetMapConeLimitConeIso
+-/
 
+#print Mon_.limitConeIsLimit /-
 /-- Implementation of `Mon_.has_limits`:
 the proposed cone over a functor `F : J ⥤ Mon_ C` is a limit cone.
 -/
@@ -85,7 +92,9 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F)
     dsimp; simp only [Mon_.forget_map, limit.lift_π, functor.map_cone_π_app]
     exact congr_arg Mon_.Hom.hom (w j)
 #align Mon_.limit_cone_is_limit Mon_.limitConeIsLimit
+-/
 
+#print Mon_.hasLimits /-
 instance hasLimits : HasLimits (Mon_ C)
     where HasLimitsOfShape J 𝒥 :=
     {
@@ -94,7 +103,9 @@ instance hasLimits : HasLimits (Mon_ C)
           { Cone := limit_cone F
             IsLimit := limit_cone_is_limit F } }
 #align Mon_.has_limits Mon_.hasLimits
+-/
 
+#print Mon_.forgetPreservesLimits /-
 instance forgetPreservesLimits : PreservesLimits (Mon_.forget C)
     where PreservesLimitsOfShape J 𝒥 :=
     {
@@ -103,6 +114,7 @@ instance forgetPreservesLimits : PreservesLimits (Mon_.forget C)
           (is_limit.of_iso_limit (limit.is_limit (F ⋙ Mon_.forget C))
             (forget_map_cone_limit_cone_iso F).symm) }
 #align Mon_.forget_preserves_limits Mon_.forgetPreservesLimits
+-/
 
 end Mon_
 
Diff
@@ -55,9 +55,7 @@ def limitCone (F : J ⥤ Mon_ C) : Cone F where
   pt := limit F
   π :=
     { app := fun j => { Hom := limit.π (F ⋙ Mon_.forget C) j }
-      naturality' := fun j j' f => by
-        ext
-        exact (limit.cone (F ⋙ Mon_.forget C)).π.naturality f }
+      naturality' := fun j j' f => by ext; exact (limit.cone (F ⋙ Mon_.forget C)).π.naturality f }
 #align Mon_.limit_cone Mon_.limitCone
 
 /-- The image of the proposed limit cone for `F : J ⥤ Mon_ C` under the forgetful functor
@@ -81,9 +79,7 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F)
         slice_rhs 1 2 =>
           rw [← monoidal_category.tensor_comp, limit.lift_π]
           dsimp }
-  fac s h := by
-    ext
-    simp
+  fac s h := by ext; simp
   uniq s m w := by
     ext
     dsimp; simp only [Mon_.forget_map, limit.lift_π, functor.map_cone_π_app]
Diff
@@ -52,7 +52,7 @@ def limit (F : J ⥤ Mon_ C) : Mon_ C :=
 -/
 @[simps]
 def limitCone (F : J ⥤ Mon_ C) : Cone F where
-  x := limit F
+  pt := limit F
   π :=
     { app := fun j => { Hom := limit.π (F ⋙ Mon_.forget C) j }
       naturality' := fun j j' f => by
@@ -64,7 +64,7 @@ def limitCone (F : J ⥤ Mon_ C) : Cone F where
 `forget C : Mon_ C ⥤ C` is isomorphic to the limit cone of `F ⋙ forget C`.
 -/
 def forgetMapConeLimitConeIso (F : J ⥤ Mon_ C) :
-    (forget C).mapCone (limitCone F) ≅ Limit.cone (F ⋙ forget C) :=
+    (forget C).mapCone (limitCone F) ≅ limit.cone (F ⋙ forget C) :=
   Cones.ext (Iso.refl _) fun j => by tidy
 #align Mon_.forget_map_cone_limit_cone_iso Mon_.forgetMapConeLimitConeIso
 
Diff
@@ -81,10 +81,10 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F)
         slice_rhs 1 2 =>
           rw [← monoidal_category.tensor_comp, limit.lift_π]
           dsimp }
-  fac' s h := by
+  fac s h := by
     ext
     simp
-  uniq' s m w := by
+  uniq s m w := by
     ext
     dsimp; simp only [Mon_.forget_map, limit.lift_π, functor.map_cone_π_app]
     exact congr_arg Mon_.Hom.hom (w j)

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
@@ -28,7 +28,6 @@ noncomputable section
 namespace Mon_
 
 variable {J : Type v} [SmallCategory J]
-
 variable {C : Type u} [Category.{v} C] [HasLimits C] [MonoidalCategory.{v} C]
 
 /-- We construct the (candidate) limit of a functor `F : J ⥤ Mon_ C`
chore: tidy various files (#7017)
Diff
@@ -15,7 +15,7 @@ import Mathlib.CategoryTheory.Limits.Preserves.Basic
 If `C` has limits, so does `Mon_ C`, and the forgetful functor preserves these limits.
 
 (This could potentially replace many individual constructions for concrete categories,
-in particular `Mon`, `SemiRing`, `Ring`, and `Algebra R`.)
+in particular `MonCat`, `SemiRingCat`, `RingCat`, and `AlgebraCat R`.)
 -/
 
 
@@ -71,7 +71,11 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F) where
     { hom := limit.lift (F ⋙ Mon_.forget C) ((Mon_.forget C).mapCone s)
       mul_hom := by
         dsimp
-        ext; simp
+        ext
+        simp only [Functor.comp_obj, forget_obj, Category.assoc, limit.lift_π, Functor.mapCone_pt,
+          Functor.mapCone_π_app, forget_map, Hom.mul_hom, limit_mul, Cones.postcompose_obj_pt,
+          Cones.postcompose_obj_π, NatTrans.comp_app, Functor.const_obj_obj, tensorObj_obj,
+          MonFunctorCategoryEquivalence.Inverse.obj_mul_app]
         slice_rhs 1 2 => rw [← MonoidalCategory.tensor_comp, limit.lift_π] }
   fac s h := by ext; simp
   uniq s m w := by
@@ -82,8 +86,8 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F) where
 set_option linter.uppercaseLean3 false in
 #align Mon_.limit_cone_is_limit Mon_.limitConeIsLimit
 
-instance hasLimits : HasLimits (Mon_ C)
-    where has_limits_of_shape _ _ :=
+instance hasLimits : HasLimits (Mon_ C) where
+  has_limits_of_shape _ _ :=
     { has_limit := fun F =>
         HasLimit.mk
           { cone := limitCone F
chore: remove unused simps (#6632)

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Diff
@@ -71,9 +71,8 @@ def limitConeIsLimit (F : J ⥤ Mon_ C) : IsLimit (limitCone F) where
     { hom := limit.lift (F ⋙ Mon_.forget C) ((Mon_.forget C).mapCone s)
       mul_hom := by
         dsimp
-        ext; simp; dsimp
-        slice_rhs 1 2 =>
-          rw [← MonoidalCategory.tensor_comp, limit.lift_π] }
+        ext; simp
+        slice_rhs 1 2 => rw [← MonoidalCategory.tensor_comp, limit.lift_π] }
   fac s h := by ext; simp
   uniq s m w := by
     ext1
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 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.monoidal.internal.limits
-! leanprover-community/mathlib commit 12921e9eaa574d0087ae4856860e6dda8690a438
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
 import Mathlib.CategoryTheory.Monoidal.Limits
 import Mathlib.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.monoidal.internal.limits from "leanprover-community/mathlib"@"12921e9eaa574d0087ae4856860e6dda8690a438"
+
 /-!
 # Limits of monoid objects.
 
feat: port CategoryTheory.Monoidal.Internal.Limits (#5150)

Dependencies 3 + 233

234 files ported (98.7%)
84605 lines ported (98.8%)
Show graph

The unported dependencies are