category_theory.limits.colimit_limit | 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

59382264

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

10bf4f82

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.Limits.Types
-import Mathbin.CategoryTheory.Functor.Currying
-import Mathbin.CategoryTheory.Limits.FunctorCategory
+import CategoryTheory.Limits.Types
+import CategoryTheory.Functor.Currying
+import CategoryTheory.Limits.FunctorCategory
 
 #align_import category_theory.limits.colimit_limit from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"

10bf4f82

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.limits.colimit_limit
-! 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.Types
 import Mathbin.CategoryTheory.Functor.Currying
 import Mathbin.CategoryTheory.Limits.FunctorCategory
 
+#align_import category_theory.limits.colimit_limit from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # The morphism comparing a colimit of limits with the corresponding limit of colimits.

10bf4f82

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -45,20 +45,25 @@ variable (F : J × K ⥤ C)
 
 open CategoryTheory.prod
 
+#print CategoryTheory.Limits.map_id_left_eq_curry_map /-
 theorem map_id_left_eq_curry_map {j : J} {k k' : K} {f : k ⟶ k'} :
     F.map ((𝟙 j, f) : (j, k) ⟶ (j, k')) = ((curry.obj F).obj j).map f :=
   rfl
 #align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_map
+-/
 
+#print CategoryTheory.Limits.map_id_right_eq_curry_swap_map /-
 theorem map_id_right_eq_curry_swap_map {j j' : J} {f : j ⟶ j'} {k : K} :
     F.map ((f, 𝟙 k) : (j, k) ⟶ (j', k)) = ((curry.obj (swap K J ⋙ F)).obj k).map f :=
   rfl
 #align category_theory.limits.map_id_right_eq_curry_swap_map CategoryTheory.Limits.map_id_right_eq_curry_swap_map
+-/
 
 variable [HasLimitsOfShape J C]
 
 variable [HasColimitsOfShape K C]
 
+#print CategoryTheory.Limits.colimitLimitToLimitColimit /-
 /-- The universal morphism
 $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
 -/
@@ -87,7 +92,9 @@ noncomputable def colimitLimitToLimitColimit :
               limits.colimit.ι_desc, category.id_comp, category.assoc,
               map_id_right_eq_curry_swap_map, limit.w_assoc] } }
 #align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimit
+-/
 
+#print CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π /-
 /-- Since `colimit_limit_to_limit_colimit` is a morphism from a colimit to a limit,
 this lemma characterises it.
 -/
@@ -97,7 +104,9 @@ theorem ι_colimitLimitToLimitColimit_π (j) (k) :
       limit.π ((curry.obj (swap K J ⋙ F)).obj k) j ≫ colimit.ι ((curry.obj F).obj j) k :=
   by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
+-/
 
+#print CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply /-
 @[simp]
 theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (f) :
     limit.π (curry.obj F ⋙ colim) j
@@ -105,7 +114,9 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (
       colimit.ι ((curry.obj F).obj j) k (limit.π ((curry.obj (swap K J ⋙ F)).obj k) j f) :=
   by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply
+-/
 
+#print CategoryTheory.Limits.colimitLimitToLimitColimitCone /-
 /-- The map `colimit_limit_to_limit_colimit` realized as a map of cones. -/
 @[simps]
 noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G] :
@@ -126,6 +137,7 @@ noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G
     simp only [category.id_comp]
     erw [limit_obj_iso_limit_comp_evaluation_hom_π_assoc]
 #align category_theory.limits.colimit_limit_to_limit_colimit_cone CategoryTheory.Limits.colimitLimitToLimitColimitCone
+-/
 
 end CategoryTheory.Limits

10bf4f82

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -45,17 +45,11 @@ variable (F : J × K ⥤ C)
 
 open CategoryTheory.prod
 
-/- warning: category_theory.limits.map_id_left_eq_curry_map -> CategoryTheory.Limits.map_id_left_eq_curry_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_mapₓ'. -/
 theorem map_id_left_eq_curry_map {j : J} {k k' : K} {f : k ⟶ k'} :
     F.map ((𝟙 j, f) : (j, k) ⟶ (j, k')) = ((curry.obj F).obj j).map f :=
   rfl
 #align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_map
 
-/- warning: category_theory.limits.map_id_right_eq_curry_swap_map -> CategoryTheory.Limits.map_id_right_eq_curry_swap_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_right_eq_curry_swap_map CategoryTheory.Limits.map_id_right_eq_curry_swap_mapₓ'. -/
 theorem map_id_right_eq_curry_swap_map {j j' : J} {f : j ⟶ j'} {k : K} :
     F.map ((f, 𝟙 k) : (j, k) ⟶ (j', k)) = ((curry.obj (swap K J ⋙ F)).obj k).map f :=
   rfl
@@ -65,9 +59,6 @@ variable [HasLimitsOfShape J C]
 
 variable [HasColimitsOfShape K C]
 
-/- warning: category_theory.limits.colimit_limit_to_limit_colimit -> CategoryTheory.Limits.colimitLimitToLimitColimit is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimitₓ'. -/
 /-- The universal morphism
 $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
 -/
@@ -97,9 +88,6 @@ noncomputable def colimitLimitToLimitColimit :
               map_id_right_eq_curry_swap_map, limit.w_assoc] } }
 #align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimit
 
-/- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_πₓ'. -/
 /-- Since `colimit_limit_to_limit_colimit` is a morphism from a colimit to a limit,
 this lemma characterises it.
 -/
@@ -110,9 +98,6 @@ theorem ι_colimitLimitToLimitColimit_π (j) (k) :
   by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
 
-/- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_applyₓ'. -/
 @[simp]
 theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (f) :
     limit.π (curry.obj F ⋙ colim) j
@@ -121,12 +106,6 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (
   by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply
 
-/- warning: category_theory.limits.colimit_limit_to_limit_colimit_cone -> CategoryTheory.Limits.colimitLimitToLimitColimitCone is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.colimit_limit_to_limit_colimit_cone CategoryTheory.Limits.colimitLimitToLimitColimitConeₓ'. -/
 /-- The map `colimit_limit_to_limit_colimit` realized as a map of cones. -/
 @[simps]
 noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G] :

10bf4f82

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -107,9 +107,7 @@ this lemma characterises it.
 theorem ι_colimitLimitToLimitColimit_π (j) (k) :
     colimit.ι _ k ≫ colimitLimitToLimitColimit F ≫ limit.π _ j =
       limit.π ((curry.obj (swap K J ⋙ F)).obj k) j ≫ colimit.ι ((curry.obj F).obj j) k :=
-  by
-  dsimp [colimit_limit_to_limit_colimit]
-  simp
+  by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
 
 /- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply is a dubious translation:
@@ -120,9 +118,7 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (
     limit.π (curry.obj F ⋙ colim) j
         (colimitLimitToLimitColimit F (colimit.ι (curry.obj (swap K J ⋙ F) ⋙ lim) k f)) =
       colimit.ι ((curry.obj F).obj j) k (limit.π ((curry.obj (swap K J ⋙ F)).obj k) j f) :=
-  by
-  dsimp [colimit_limit_to_limit_colimit]
-  simp
+  by dsimp [colimit_limit_to_limit_colimit]; simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply
 
 /- warning: category_theory.limits.colimit_limit_to_limit_colimit_cone -> CategoryTheory.Limits.colimitLimitToLimitColimitCone is a dubious translation:

10bf4f82

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -46,10 +46,7 @@ variable (F : J × K ⥤ C)
 open CategoryTheory.prod
 
 /- warning: category_theory.limits.map_id_left_eq_curry_map -> CategoryTheory.Limits.map_id_left_eq_curry_map is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_mapₓ'. -/
 theorem map_id_left_eq_curry_map {j : J} {k k' : K} {f : k ⟶ k'} :
     F.map ((𝟙 j, f) : (j, k) ⟶ (j, k')) = ((curry.obj F).obj j).map f :=
@@ -57,10 +54,7 @@ theorem map_id_left_eq_curry_map {j : J} {k k' : K} {f : k ⟶ k'} :
 #align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_map
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_right_eq_curry_swap_map CategoryTheory.Limits.map_id_right_eq_curry_swap_mapₓ'. -/
 theorem map_id_right_eq_curry_swap_map {j j' : J} {f : j ⟶ j'} {k : K} :
     F.map ((f, 𝟙 k) : (j, k) ⟶ (j', k)) = ((curry.obj (swap K J ⋙ F)).obj k).map f :=
@@ -72,10 +66,7 @@ variable [HasLimitsOfShape J C]
 variable [HasColimitsOfShape K C]
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimitₓ'. -/
 /-- The universal morphism
 $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
@@ -107,10 +98,7 @@ noncomputable def colimitLimitToLimitColimit :
 #align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimit
 
 /- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π is a dubious translation:
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_inst_2 C _inst_3)) F)) j)) k))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_πₓ'. -/
 /-- Since `colimit_limit_to_limit_colimit` is a morphism from a colimit to a limit,
 this lemma characterises it.
@@ -125,10 +113,7 @@ theorem ι_colimitLimitToLimitColimit_π (j) (k) :
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
 
 /- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply is a dubious translation:
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_inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F)) (CategoryTheory.Limits.lim.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1})))) k), Eq.{succ u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1})))) j) (CategoryTheory.Limits.limit.π.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1}))) (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1}) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1})))) j (CategoryTheory.Limits.colimitLimitToLimitColimit.{u1, succ u1} J K _inst_1 _inst_2 Type.{u1} CategoryTheory.types.{u1} F (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1}) (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1}) (CategoryTheory.Limits.colimit.ι.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} K _inst_2 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J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F)) j)) k (CategoryTheory.Limits.limit.π.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} K (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} K (CategoryTheory.Category.toCategoryStruct.{u1, u1} K _inst_2)) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F))) k) (CategoryTheory.Limits.Types.hasLimit'.{u1} J _inst_1 (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} K (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} K (CategoryTheory.Category.toCategoryStruct.{u1, u1} K _inst_2)) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F))) k)) j f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_applyₓ'. -/
 @[simp]
 theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (f) :

10bf4f82

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -115,7 +115,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 /-- Since `colimit_limit_to_limit_colimit` is a morphism from a colimit to a limit,
 this lemma characterises it.
 -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_colimitLimitToLimitColimit_π (j) (k) :
     colimit.ι _ k ≫ colimitLimitToLimitColimit F ≫ limit.π _ j =
       limit.π ((curry.obj (swap K J ⋙ F)).obj k) j ≫ colimit.ι ((curry.obj F).obj j) k :=

10bf4f82

bump to nightly-2023-03-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

8ae28b0b

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.colimit_limit
-! leanprover-community/mathlib commit 59382264386afdbaf1727e617f5fdda511992eb9
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! 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.FunctorCategory
 /-!
 # The morphism comparing a colimit of limits with the corresponding limit of colimits.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 For `F : J × K ⥤ C` there is always a morphism $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
 While it is not usually an isomorphism, with additional hypotheses on `J` and `K` it may be,
 in which case we say that "colimits commute with limits".

59382264

bump to nightly-2023-03-13-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

66e1e587

Diff

@@ -42,11 +42,23 @@ variable (F : J × K ⥤ C)
 
 open CategoryTheory.prod
 
+/- warning: category_theory.limits.map_id_left_eq_curry_map -> CategoryTheory.Limits.map_id_left_eq_curry_map is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_mapₓ'. -/
 theorem map_id_left_eq_curry_map {j : J} {k k' : K} {f : k ⟶ k'} :
     F.map ((𝟙 j, f) : (j, k) ⟶ (j, k')) = ((curry.obj F).obj j).map f :=
   rfl
 #align category_theory.limits.map_id_left_eq_curry_map CategoryTheory.Limits.map_id_left_eq_curry_map
 
+/- warning: category_theory.limits.map_id_right_eq_curry_swap_map -> CategoryTheory.Limits.map_id_right_eq_curry_swap_map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_id_right_eq_curry_swap_map CategoryTheory.Limits.map_id_right_eq_curry_swap_mapₓ'. -/
 theorem map_id_right_eq_curry_swap_map {j j' : J} {f : j ⟶ j'} {k : K} :
     F.map ((f, 𝟙 k) : (j, k) ⟶ (j', k)) = ((curry.obj (swap K J ⋙ F)).obj k).map f :=
   rfl
@@ -56,6 +68,12 @@ variable [HasLimitsOfShape J C]
 
 variable [HasColimitsOfShape K C]
 
+/- warning: category_theory.limits.colimit_limit_to_limit_colimit -> CategoryTheory.Limits.colimitLimitToLimitColimit is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimitₓ'. -/
 /-- The universal morphism
 $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
 -/
@@ -85,6 +103,12 @@ noncomputable def colimitLimitToLimitColimit :
               map_id_right_eq_curry_swap_map, limit.w_assoc] } }
 #align category_theory.limits.colimit_limit_to_limit_colimit CategoryTheory.Limits.colimitLimitToLimitColimit
 
+/- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {K : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.SmallCategory.{u1} K] {C : Type.{u2}} [_inst_3 : CategoryTheory.Category.{u1, u2} C] (F : CategoryTheory.Functor.{u1, u1, u1, u2} (Prod.{u1, u1} J K) (CategoryTheory.uniformProd.{u1, u1} J _inst_1 K _inst_2) C _inst_3) [_inst_4 : CategoryTheory.Limits.HasLimitsOfShape.{u1, u1, u1, u2} J _inst_1 C _inst_3] [_inst_5 : CategoryTheory.Limits.HasColimitsOfShape.{u1, u1, u1, u2} K _inst_2 C _inst_3] (j : J) (k : K), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_3)) (CategoryTheory.Functor.obj.{u1, u1, u1, u2} K _inst_2 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, u2} J _inst_1 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} J _inst_1 C _inst_3) C _inst_3 (CategoryTheory.Functor.obj.{u1, u1, 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+but is expected to have type
+  forall {J : Type.{u1}} {K : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.SmallCategory.{u1} K] {C : Type.{u2}} [_inst_3 : CategoryTheory.Category.{u1, u2} C] (F : CategoryTheory.Functor.{u1, u1, u1, u2} (Prod.{u1, u1} J K) (CategoryTheory.uniformProd.{u1, u1} J _inst_1 K _inst_2) C _inst_3) [_inst_4 : CategoryTheory.Limits.HasLimitsOfShape.{u1, u1, u1, u2} J _inst_1 C _inst_3] [_inst_5 : CategoryTheory.Limits.HasColimitsOfShape.{u1, u1, u1, u2} K _inst_2 C _inst_3] (j : J) (k : K), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_3)) (Prefunctor.obj.{succ u1, succ u1, u1, u2} K (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} K (CategoryTheory.Category.toCategoryStruct.{u1, u1} K _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_3)) 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(CategoryTheory.Functor.category.{u1, u1, u1, max u1 u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3)))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, max u2 u1, max u2 u1} (CategoryTheory.Functor.{u1, u1, u1, u2} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) C _inst_3) (CategoryTheory.Functor.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3)) (CategoryTheory.Functor.category.{u1, u1, u1, max u1 u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3)) (CategoryTheory.curry.{u1, u1, u1, u1, u1, u2} J _inst_1 K _inst_2 C _inst_3)) F)) j)) k))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_πₓ'. -/
 /-- Since `colimit_limit_to_limit_colimit` is a morphism from a colimit to a limit,
 this lemma characterises it.
 -/
@@ -97,6 +121,12 @@ theorem ι_colimitLimitToLimitColimit_π (j) (k) :
   simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
 
+/- warning: category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply -> CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1}) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasColimits.{u1}))) j) (CategoryTheory.Limits.limit.π.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, 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(CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasLimits.{u1}) (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasColimits.{u1})) j (CategoryTheory.Limits.colimitLimitToLimitColimit.{u1, succ u1} J K _inst_1 _inst_2 Type.{u1} CategoryTheory.types.{u1} F (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasLimits.{u1}) (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasColimits.{u1}) (CategoryTheory.Limits.colimit.ι.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F)) (CategoryTheory.Limits.lim.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasLimits.{u1}))) (CategoryTheory.Limits.colimitLimitToLimitColimit._proof_1.{succ u1, u1} J K _inst_1 _inst_2 Type.{u1} CategoryTheory.types.{u1} F (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasLimits.{u1}) (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasColimits.{u1})) k f))) (CategoryTheory.Limits.colimit.ι.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1}) F) j) (CategoryTheory.Limits.hasColimitOfHasColimitsOfShape.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasColimits.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1}) F) j)) k (CategoryTheory.Limits.limit.π.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F)) k) (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.Sort.CategoryTheory.Limits.hasLimits.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.obj.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F)) k)) j f))
+but is expected to have type
+  forall {J : Type.{u1}} {K : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.SmallCategory.{u1} K] (F : CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.uniformProd.{u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (j : J) (k : K) (f : Prefunctor.obj.{succ u1, succ u1, u1, succ u1} K (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} K (CategoryTheory.Category.toCategoryStruct.{u1, u1} K _inst_2)) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F)) (CategoryTheory.Limits.lim.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1})))) k), Eq.{succ u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1})))) j) (CategoryTheory.Limits.limit.π.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1}))) (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1}) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) Type.{u1} CategoryTheory.types.{u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}))) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} J _inst_1 K _inst_2 Type.{u1} CategoryTheory.types.{u1})) F) (CategoryTheory.Limits.colim.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1})))) j (CategoryTheory.Limits.colimitLimitToLimitColimit.{u1, succ u1} J K _inst_1 _inst_2 Type.{u1} CategoryTheory.types.{u1} F (CategoryTheory.Limits.hasLimitsOfShapeOfHasLimits.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} J _inst_1 CategoryTheory.Limits.Types.instHasLimitsTypeTypes.{u1}) (CategoryTheory.Limits.hasColimitsOfShapeOfHasColimitsOfSize.{u1, u1, u1, succ u1} Type.{u1} CategoryTheory.types.{u1} K _inst_2 CategoryTheory.Limits.Types.instHasColimitsTypeTypes.{u1}) (CategoryTheory.Limits.colimit.ι.{u1, u1, u1, succ u1} K _inst_2 Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Functor.comp.{u1, u1, u1, u1, succ u1, succ u1} K _inst_2 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(CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} (CategoryTheory.Functor.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} K _inst_2 (CategoryTheory.Functor.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1}) (CategoryTheory.Functor.category.{u1, u1, u1, succ u1} J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.curry.{u1, u1, u1, u1, u1, succ u1} K _inst_2 J _inst_1 Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, succ u1} (Prod.{u1, u1} K J) (CategoryTheory.prod.{u1, u1, u1, u1} K _inst_2 J _inst_1) (Prod.{u1, u1} J K) (CategoryTheory.prod.{u1, u1, u1, u1} J _inst_1 K _inst_2) Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.Prod.swap.{u1, u1, u1, u1} K _inst_2 J _inst_1) F))) k)) j f))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_applyₓ'. -/
 @[simp]
 theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (f) :
     limit.π (curry.obj F ⋙ colim) j
@@ -107,6 +137,12 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (
   simp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply
 
+/- warning: category_theory.limits.colimit_limit_to_limit_colimit_cone -> CategoryTheory.Limits.colimitLimitToLimitColimitCone is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {K : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.SmallCategory.{u1} K] {C : Type.{u2}} [_inst_3 : CategoryTheory.Category.{u1, u2} C] [_inst_4 : CategoryTheory.Limits.HasLimitsOfShape.{u1, u1, u1, u2} J _inst_1 C _inst_3] [_inst_5 : CategoryTheory.Limits.HasColimitsOfShape.{u1, u1, u1, u2} K _inst_2 C _inst_3] (G : CategoryTheory.Functor.{u1, u1, u1, max u1 u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3)) [_inst_6 : CategoryTheory.Limits.HasLimit.{u1, u1, u1, max u1 u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) G], Quiver.Hom.{succ u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.Limits.Cone.category.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))))) (CategoryTheory.Functor.mapCone.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5) (CategoryTheory.Limits.limit.cone.{u1, u1, u1, max u1 u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) G _inst_6)) (CategoryTheory.Limits.limit.cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u1 u2, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5)) (CategoryTheory.Limits.colimitLimitToLimitColimitCone._proof_1.{u2, u1} J K _inst_1 _inst_2 C _inst_3 _inst_4 _inst_5 G))
+but is expected to have type
+  forall {J : Type.{u1}} {K : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.SmallCategory.{u1} K] {C : Type.{u2}} [_inst_3 : CategoryTheory.Category.{u1, u2} C] [_inst_4 : CategoryTheory.Limits.HasLimitsOfShape.{u1, u1, u1, u2} J _inst_1 C _inst_3] [_inst_5 : CategoryTheory.Limits.HasColimitsOfShape.{u1, u1, u1, u2} K _inst_2 C _inst_3] (G : CategoryTheory.Functor.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3)) [_inst_6 : CategoryTheory.Limits.HasLimit.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) G], Quiver.Hom.{succ u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Limits.Cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))) (CategoryTheory.Limits.Cone.category.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))))) (CategoryTheory.Functor.mapCone.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5) G (CategoryTheory.Limits.limit.cone.{u1, u1, u1, max u2 u1} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) G _inst_6)) (CategoryTheory.Limits.limit.cone.{u1, u1, u1, u2} J _inst_1 C _inst_3 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5)) (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{u1, u1, u1, u2} C _inst_3 J _inst_1 _inst_4 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, max u2 u1, u2} J _inst_1 (CategoryTheory.Functor.{u1, u1, u1, u2} K _inst_2 C _inst_3) (CategoryTheory.Functor.category.{u1, u1, u1, u2} K _inst_2 C _inst_3) C _inst_3 G (CategoryTheory.Limits.colim.{u1, u1, u1, u2} K _inst_2 C _inst_3 _inst_5))))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.colimit_limit_to_limit_colimit_cone CategoryTheory.Limits.colimitLimitToLimitColimitConeₓ'. -/
 /-- The map `colimit_limit_to_limit_colimit` realized as a map of cones. -/
 @[simps]
 noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G] :

59382264

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -62,11 +62,11 @@ $\colim_k \lim_j F(j,k) → \lim_j \colim_k F(j, k)$.
 noncomputable def colimitLimitToLimitColimit :
     colimit (curry.obj (swap K J ⋙ F) ⋙ lim) ⟶ limit (curry.obj F ⋙ colim) :=
   limit.lift (curry.obj F ⋙ colim)
-    { x := _
+    { pt := _
       π :=
         { app := fun j =>
             colimit.desc (curry.obj (swap K J ⋙ F) ⋙ lim)
-              { x := _
+              { pt := _
                 ι :=
                   { app := fun k =>
                       limit.π ((curry.obj (swap K J ⋙ F)).obj k) j ≫
@@ -110,7 +110,7 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j) (k) (
 /-- The map `colimit_limit_to_limit_colimit` realized as a map of cones. -/
 @[simps]
 noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G] :
-    colim.mapCone (Limit.cone G) ⟶ Limit.cone (G ⋙ colim)
+    colim.mapCone (limit.cone G) ⟶ limit.cone (G ⋙ colim)
     where
   Hom :=
     colim.map (limitIsoSwapCompLim G).Hom ≫

59382264

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

59382264

refactor: generalize universes for commuting filtered colimits and finite limits (#11325)

a57ceda5

Diff

@@ -25,13 +25,13 @@ is that when `C = Type`, filtered colimits commute with finite limits.
 -/
 
 
-universe v u
+universe v₁ v₂ v u₁ u₂ u
 
 open CategoryTheory
 
 namespace CategoryTheory.Limits
 
-variable {J K : Type v} [SmallCategory J] [SmallCategory K]
+variable {J : Type u₁} {K : Type u₂} [Category.{v₁} J] [Category.{v₂} K]
 variable {C : Type u} [Category.{v} C]
 variable (F : J × K ⥤ C)
 
@@ -94,12 +94,15 @@ theorem ι_colimitLimitToLimitColimit_π (j) (k) :
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π
 
 @[simp]
-theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j : J) (k : K) (f) :
-    limit.π (curry.obj F ⋙ colim) j
+theorem ι_colimitLimitToLimitColimit_π_apply [Small.{v} J] [Small.{v} K] (F : J × K ⥤ Type v)
+    (j : J) (k : K) (f) : limit.π (curry.obj F ⋙ colim) j
         (colimitLimitToLimitColimit F (colimit.ι (curry.obj (Prod.swap K J ⋙ F) ⋙ lim) k f)) =
       colimit.ι ((curry.obj F).obj j) k (limit.π ((curry.obj (Prod.swap K J ⋙ F)).obj k) j f) := by
   dsimp [colimitLimitToLimitColimit]
-  simp
+  rw [Types.Limit.lift_π_apply]
+  dsimp only
+  rw [Types.Colimit.ι_desc_apply]
+  dsimp
 #align category_theory.limits.ι_colimit_limit_to_limit_colimit_π_apply CategoryTheory.Limits.ι_colimitLimitToLimitColimit_π_apply
 
 /-- The map `colimit_limit_to_limit_colimit` realized as a map of cones. -/

59382264

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

@@ -32,9 +32,7 @@ open CategoryTheory
 namespace CategoryTheory.Limits
 
 variable {J K : Type v} [SmallCategory J] [SmallCategory K]
-
 variable {C : Type u} [Category.{v} C]
-
 variable (F : J × K ⥤ C)
 
 open CategoryTheory.prod
@@ -50,7 +48,6 @@ theorem map_id_right_eq_curry_swap_map {j j' : J} {f : j ⟶ j'} {k : K} :
 #align category_theory.limits.map_id_right_eq_curry_swap_map CategoryTheory.Limits.map_id_right_eq_curry_swap_map
 
 variable [HasLimitsOfShape J C]
-
 variable [HasColimitsOfShape K C]
 
 /-- The universal morphism

59382264

chore: replace ConeMorphism.Hom by ConeMorphism.hom (#7176)

3e44bb07

Diff

@@ -110,7 +110,7 @@ theorem ι_colimitLimitToLimitColimit_π_apply (F : J × K ⥤ Type v) (j : J) (
 noncomputable def colimitLimitToLimitColimitCone (G : J ⥤ K ⥤ C) [HasLimit G] :
     colim.mapCone (limit.cone G) ⟶ limit.cone (G ⋙ colim)
     where
-  Hom :=
+  hom :=
     colim.map (limitIsoSwapCompLim G).hom ≫
       colimitLimitToLimitColimit (uncurry.obj G : _) ≫
         lim.map (whiskerRight (currying.unitIso.app G).inv colim)

59382264

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.limits.colimit_limit
-! leanprover-community/mathlib commit 59382264386afdbaf1727e617f5fdda511992eb9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Types
 import Mathlib.CategoryTheory.Functor.Currying
 import Mathlib.CategoryTheory.Limits.FunctorCategory
 
+#align_import category_theory.limits.colimit_limit from "leanprover-community/mathlib"@"59382264386afdbaf1727e617f5fdda511992eb9"
+
 /-!
 # The morphism comparing a colimit of limits with the corresponding limit of colimits.

59382264

feat: port CategoryTheory.Limits.ColimitLimit (#2810)

73599160

`category_theory.limits.colimit_limit` ⟷ `Mathlib.CategoryTheory.Limits.ColimitLimit`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 237

category_theory.limits.colimit_limit ⟷ Mathlib.CategoryTheory.Limits.ColimitLimit

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 237

`category_theory.limits.colimit_limit` ⟷ `Mathlib.CategoryTheory.Limits.ColimitLimit`