category_theory.monoidal.limits | Mathlib porting status

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

744d59af

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

660b3a2d

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

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.Functorial
-import Mathbin.CategoryTheory.Monoidal.FunctorCategory
-import Mathbin.CategoryTheory.Limits.HasLimits
+import CategoryTheory.Monoidal.Functorial
+import CategoryTheory.Monoidal.FunctorCategory
+import CategoryTheory.Limits.HasLimits
 
 #align_import category_theory.monoidal.limits from "leanprover-community/mathlib"@"660b3a2db3522fa0db036e569dc995a615c4c848"

660b3a2d

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

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.limits
-! leanprover-community/mathlib commit 660b3a2db3522fa0db036e569dc995a615c4c848
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.Functorial
 import Mathbin.CategoryTheory.Monoidal.FunctorCategory
 import Mathbin.CategoryTheory.Limits.HasLimits
 
+#align_import category_theory.monoidal.limits from "leanprover-community/mathlib"@"660b3a2db3522fa0db036e569dc995a615c4c848"
+
 /-!
 # `lim : (J ⥤ C) ⥤ C` is lax monoidal when `C` is a monoidal category.

660b3a2d

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -46,11 +46,13 @@ instance limitFunctorial : Functorial fun F : J ⥤ C => limit F :=
 #align category_theory.limits.limit_functorial CategoryTheory.Limits.limitFunctorial
 -/
 
+#print CategoryTheory.Limits.limitFunctorial_map /-
 @[simp]
 theorem limitFunctorial_map {F G : J ⥤ C} (α : F ⟶ G) :
     map (fun F : J ⥤ C => limit F) α = Limits.lim.map α :=
   rfl
 #align category_theory.limits.limit_functorial_map CategoryTheory.Limits.limitFunctorial_map
+-/
 
 variable [MonoidalCategory.{v} C]
 
@@ -123,20 +125,27 @@ def limLax : LaxMonoidalFunctor (J ⥤ C) C :=
 #align category_theory.limits.lim_lax CategoryTheory.Limits.limLax
 -/
 
+#print CategoryTheory.Limits.limLax_obj /-
 @[simp]
 theorem limLax_obj (F : J ⥤ C) : limLax.obj F = limit F :=
   rfl
 #align category_theory.limits.lim_lax_obj CategoryTheory.Limits.limLax_obj
+-/
 
+#print CategoryTheory.Limits.limLax_obj' /-
 theorem limLax_obj' (F : J ⥤ C) : limLax.obj F = lim.obj F :=
   rfl
 #align category_theory.limits.lim_lax_obj' CategoryTheory.Limits.limLax_obj'
+-/
 
+#print CategoryTheory.Limits.limLax_map /-
 @[simp]
 theorem limLax_map {F G : J ⥤ C} (α : F ⟶ G) : limLax.map α = lim.map α :=
   rfl
 #align category_theory.limits.lim_lax_map CategoryTheory.Limits.limLax_map
+-/
 
+#print CategoryTheory.Limits.limLax_ε /-
 @[simp]
 theorem limLax_ε :
     (@limLax J _ C _ _ _).ε =
@@ -145,10 +154,12 @@ theorem limLax_ε :
           π := { app := fun j => 𝟙 _ } } :=
   rfl
 #align category_theory.limits.lim_lax_ε CategoryTheory.Limits.limLax_ε
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.Limits.limLax_μ /-
 @[simp]
 theorem limLax_μ (F G : J ⥤ C) :
     (@limLax J _ C _ _ _).μ F G =
@@ -161,6 +172,7 @@ theorem limLax_μ (F G : J ⥤ C) :
                 simp only [category.id_comp, ← tensor_comp, limit.w] } } :=
   rfl
 #align category_theory.limits.lim_lax_μ CategoryTheory.Limits.limLax_μ
+-/
 
 end CategoryTheory.Limits

660b3a2d

bump to nightly-2023-06-12-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/ccdbfb6e5614667af5aa3ab2d50885e0ef44a46f

879d466d

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.limits
-! leanprover-community/mathlib commit 744d59af0b28d0c42f631038627df9b85ae1d1ce
+! leanprover-community/mathlib commit 660b3a2db3522fa0db036e569dc995a615c4c848
 ! 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.HasLimits
 /-!
 # `lim : (J ⥤ C) ⥤ C` is lax monoidal when `C` is a monoidal category.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 When `C` is a monoidal category, the functorial association `F ↦ limit F` is lax monoidal,
 i.e. there are morphisms
 * `lim_lax.ε : (𝟙_ C) → limit (𝟙_ (J ⥤ C))`

744d59af

bump to nightly-2023-06-10-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

74259437

Diff

@@ -37,9 +37,11 @@ variable {J : Type v} [SmallCategory J]
 
 variable {C : Type u} [Category.{v} C] [HasLimits C]
 
+#print CategoryTheory.Limits.limitFunctorial /-
 instance limitFunctorial : Functorial fun F : J ⥤ C => limit F :=
   { Limits.lim with }
 #align category_theory.limits.limit_functorial CategoryTheory.Limits.limitFunctorial
+-/
 
 @[simp]
 theorem limitFunctorial_map {F G : J ⥤ C} (α : F ⟶ G) :
@@ -53,6 +55,7 @@ variable [MonoidalCategory.{v} C]
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.Limits.limitLaxMonoidal /-
 @[simps]
 instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F
     where
@@ -108,11 +111,14 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F
     slice_rhs 2 3 => rw [right_unitor_naturality]
     simp
 #align category_theory.limits.limit_lax_monoidal CategoryTheory.Limits.limitLaxMonoidal
+-/
 
+#print CategoryTheory.Limits.limLax /-
 /-- The limit functor `F ↦ limit F` bundled as a lax monoidal functor. -/
 def limLax : LaxMonoidalFunctor (J ⥤ C) C :=
   LaxMonoidalFunctor.of fun F : J ⥤ C => limit F
 #align category_theory.limits.lim_lax CategoryTheory.Limits.limLax
+-/
 
 @[simp]
 theorem limLax_obj (F : J ⥤ C) : limLax.obj F = limit F :=

744d59af

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -58,11 +58,11 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F
     where
   ε :=
     limit.lift _
-      { x := _
+      { pt := _
         π := { app := fun j => 𝟙 _ } }
   μ F G :=
     limit.lift (F ⊗ G)
-      { x := limit F ⊗ limit G
+      { pt := limit F ⊗ limit G
         π :=
           { app := fun j => limit.π F j ⊗ limit.π G j
             naturality' := fun j j' f => by
@@ -132,7 +132,7 @@ theorem limLax_map {F G : J ⥤ C} (α : F ⟶ G) : limLax.map α = lim.map α :
 theorem limLax_ε :
     (@limLax J _ C _ _ _).ε =
       limit.lift _
-        { x := _
+        { pt := _
           π := { app := fun j => 𝟙 _ } } :=
   rfl
 #align category_theory.limits.lim_lax_ε CategoryTheory.Limits.limLax_ε
@@ -144,7 +144,7 @@ theorem limLax_ε :
 theorem limLax_μ (F G : J ⥤ C) :
     (@limLax J _ C _ _ _).μ F G =
       limit.lift (F ⊗ G)
-        { x := limit F ⊗ limit G
+        { pt := limit F ⊗ limit G
           π :=
             { app := fun j => limit.π F j ⊗ limit.π G j
               naturality' := fun j j' f => by

744d59af

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

744d59af

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)

75c86f04

Diff

@@ -31,7 +31,6 @@ universe v u
 noncomputable section
 
 variable {J : Type v} [SmallCategory J]
-
 variable {C : Type u} [Category.{v} C] [HasLimits C]
 
 instance limitFunctorial : Functorial fun F : J ⥤ C => limit F where

744d59af

feat(CategoryTheory/Monoidal): replace 𝟙 X ⊗ f with X ◁ f (#10912)

We set id_tensorHom and tensorHom_id as simp lemmas. Partially extracted from #6307.

8a40b522

Diff

@@ -89,7 +89,7 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F := .ofTensorH
       rw [← comp_tensor_id]
       erw [limit.lift_π]
       dsimp
-    slice_rhs 2 3 => rw [leftUnitor_naturality]
+    slice_rhs 2 3 => rw [id_tensorHom, leftUnitor_naturality]
     simp)
   (right_unitality := fun X => by
     ext j; dsimp
@@ -101,7 +101,7 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F := .ofTensorH
       rw [← id_tensor_comp]
       erw [limit.lift_π]
       dsimp
-    slice_rhs 2 3 => rw [rightUnitor_naturality]
+    slice_rhs 2 3 => rw [tensorHom_id, rightUnitor_naturality]
     simp)
 #align category_theory.limits.limit_lax_monoidal CategoryTheory.Limits.limitLaxMonoidal

744d59af

feat(CategoryTheory/Monoidal): partially setting simp lemmas (#10061)

Extracted from #6307. The main reason why #6307 is so large is that many tensoring of identity morphisms that appear in mathlib should be replaced with whiskerings. This PR will leave this issue and deal with other parts. That is, we do not set id_tensorHom and tensorHom_id as simple lemmas at this moment, We can set them as simp lemmas locally to enable simple normal forms.

ec497096

Diff

@@ -78,7 +78,7 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F := .ofTensorH
     slice_rhs 2 3 =>
       rw [← id_tensor_comp, limit.lift_π]
       dsimp
-    dsimp; simp)
+    dsimp; rw [id_tensor_comp_tensor_id])
   (left_unitality := fun X => by
     ext j; dsimp
     simp only [limit.lift_map, Category.assoc, limit.lift_π, Cones.postcompose_obj_pt,

744d59af

refactor(CategoryTheory/Monoidal): split the naturality condition of monoidal functors (#9988)

Extracted from #6307. We replace μ_natural with μ_natural_left and μ_natural_right since we prefer to use the whiskerings to the tensor of morphisms in the refactor #6307.

2e59248d

Diff

@@ -47,24 +47,24 @@ theorem limitFunctorial_map {F G : J ⥤ C} (α : F ⟶ G) :
 variable [MonoidalCategory.{v} C]
 
 @[simps]
-instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
-  ε :=
+instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F := .ofTensorHom
+  (ε :=
     limit.lift _
       { pt := _
-        π := { app := fun j => 𝟙 _ } }
-  μ F G :=
+        π := { app := fun j => 𝟙 _ } })
+  (μ := fun F G =>
     limit.lift (F ⊗ G)
       { pt := limit F ⊗ limit G
         π :=
           { app := fun j => limit.π F j ⊗ limit.π G j
             naturality := fun j j' f => by
               dsimp
-              simp only [Category.id_comp, ← tensor_comp, limit.w] } }
-  μ_natural f g := by
+              simp only [Category.id_comp, ← tensor_comp, limit.w] } })
+  (μ_natural:= fun f g => by
     ext; dsimp
     simp only [limit.lift_π, Cones.postcompose_obj_π, Monoidal.tensorHom_app, limit.lift_map,
-      NatTrans.comp_app, Category.assoc, ← tensor_comp, limMap_π]
-  associativity X Y Z := by
+      NatTrans.comp_app, Category.assoc, ← tensor_comp, limMap_π])
+  (associativity := fun X Y Z => by
     ext j; dsimp
     simp only [limit.lift_π, Cones.postcompose_obj_π, Monoidal.associator_hom_app, limit.lift_map,
       NatTrans.comp_app, Category.assoc]
@@ -78,8 +78,8 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
     slice_rhs 2 3 =>
       rw [← id_tensor_comp, limit.lift_π]
       dsimp
-    dsimp; simp
-  left_unitality X := by
+    dsimp; simp)
+  (left_unitality := fun X => by
     ext j; dsimp
     simp only [limit.lift_map, Category.assoc, limit.lift_π, Cones.postcompose_obj_pt,
       Cones.postcompose_obj_π, NatTrans.comp_app, Functor.const_obj_obj, Monoidal.tensorObj_obj,
@@ -90,8 +90,8 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
       erw [limit.lift_π]
       dsimp
     slice_rhs 2 3 => rw [leftUnitor_naturality]
-    simp
-  right_unitality X := by
+    simp)
+  (right_unitality := fun X => by
     ext j; dsimp
     simp only [limit.lift_map, Category.assoc, limit.lift_π, Cones.postcompose_obj_pt,
       Cones.postcompose_obj_π, NatTrans.comp_app, Functor.const_obj_obj, Monoidal.tensorObj_obj,
@@ -102,7 +102,7 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
       erw [limit.lift_π]
       dsimp
     slice_rhs 2 3 => rw [rightUnitor_naturality]
-    simp
+    simp)
 #align category_theory.limits.limit_lax_monoidal CategoryTheory.Limits.limitLaxMonoidal
 
 /-- The limit functor `F ↦ limit F` bundled as a lax monoidal functor. -/

744d59af

chore: fix nonterminal simps (#7497)

Fixes the nonterminal simps identified by #7496

19ca95b1

Diff

@@ -81,7 +81,9 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
     dsimp; simp
   left_unitality X := by
     ext j; dsimp
-    simp
+    simp only [limit.lift_map, Category.assoc, limit.lift_π, Cones.postcompose_obj_pt,
+      Cones.postcompose_obj_π, NatTrans.comp_app, Functor.const_obj_obj, Monoidal.tensorObj_obj,
+      Monoidal.tensorUnit_obj, Monoidal.leftUnitor_hom_app]
     conv_rhs => rw [← tensor_id_comp_id_tensor (limit.π X j)]
     slice_rhs 1 2 =>
       rw [← comp_tensor_id]
@@ -91,7 +93,9 @@ instance limitLaxMonoidal : LaxMonoidal fun F : J ⥤ C => limit F where
     simp
   right_unitality X := by
     ext j; dsimp
-    simp
+    simp only [limit.lift_map, Category.assoc, limit.lift_π, Cones.postcompose_obj_pt,
+      Cones.postcompose_obj_π, NatTrans.comp_app, Functor.const_obj_obj, Monoidal.tensorObj_obj,
+      Monoidal.tensorUnit_obj, Monoidal.rightUnitor_hom_app]
     conv_rhs => rw [← id_tensor_comp_tensor_id _ (limit.π X j)]
     slice_rhs 1 2 =>
       rw [← id_tensor_comp]

744d59af

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

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.limits
-! 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.Monoidal.Functorial
 import Mathlib.CategoryTheory.Monoidal.FunctorCategory
 import Mathlib.CategoryTheory.Limits.HasLimits
 
+#align_import category_theory.monoidal.limits from "leanprover-community/mathlib"@"744d59af0b28d0c42f631038627df9b85ae1d1ce"
+
 /-!
 # `lim : (J ⥤ C) ⥤ C` is lax monoidal when `C` is a monoidal category.

744d59af

feat: port CategoryTheory.Monoidal.Limits (#4956)

da6373c6

`category_theory.monoidal.limits` ⟷ `Mathlib.CategoryTheory.Monoidal.Limits`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 99

category_theory.monoidal.limits ⟷ Mathlib.CategoryTheory.Monoidal.Limits

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 99

`category_theory.monoidal.limits` ⟷ `Mathlib.CategoryTheory.Monoidal.Limits`