category_theory.limits.shapes.multiequalizer

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

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

97eab485

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) 2021 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Products
-import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
-import Mathbin.CategoryTheory.Limits.ConeCategory
+import CategoryTheory.Limits.Shapes.Products
+import CategoryTheory.Limits.Shapes.Equalizers
+import CategoryTheory.Limits.ConeCategory
 
 #align_import category_theory.limits.shapes.multiequalizer from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"

97eab485

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) 2021 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.multiequalizer
-! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Products
 import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
 import Mathbin.CategoryTheory.Limits.ConeCategory
 
+#align_import category_theory.limits.shapes.multiequalizer from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
+
 /-!
 
 # Multi-(co)equalizers

97eab485

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -185,25 +185,33 @@ def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C
 #align category_theory.limits.multicospan_index.multicospan CategoryTheory.Limits.MulticospanIndex.multicospan
 -/
 
+#print CategoryTheory.Limits.MulticospanIndex.multicospan_obj_left /-
 @[simp]
 theorem multicospan_obj_left (a) : I.multicospan.obj (WalkingMulticospan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_left CategoryTheory.Limits.MulticospanIndex.multicospan_obj_left
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right /-
 @[simp]
 theorem multicospan_obj_right (b) : I.multicospan.obj (WalkingMulticospan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_right CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst /-
 @[simp]
 theorem multicospan_map_fst (b) : I.multicospan.map (WalkingMulticospan.Hom.fst b) = I.fst b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.multicospan_map_snd /-
 @[simp]
 theorem multicospan_map_snd (b) : I.multicospan.map (WalkingMulticospan.Hom.snd b) = I.snd b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_map_snd CategoryTheory.Limits.MulticospanIndex.multicospan_map_snd
+-/
 
 variable [HasProduct I.left] [HasProduct I.right]
 
@@ -221,15 +229,19 @@ noncomputable def sndPiMap : ∏ I.left ⟶ ∏ I.right :=
 #align category_theory.limits.multicospan_index.snd_pi_map CategoryTheory.Limits.MulticospanIndex.sndPiMap
 -/
 
+#print CategoryTheory.Limits.MulticospanIndex.fstPiMap_π /-
 @[simp, reassoc]
 theorem fstPiMap_π (b) : I.fstPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.fst b := by
   simp [fst_pi_map]
 #align category_theory.limits.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_π
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.sndPiMap_π /-
 @[simp, reassoc]
 theorem sndPiMap_π (b) : I.sndPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.snd b := by
   simp [snd_pi_map]
 #align category_theory.limits.multicospan_index.snd_pi_map_π CategoryTheory.Limits.MulticospanIndex.sndPiMap_π
+-/
 
 #print CategoryTheory.Limits.MulticospanIndex.parallelPairDiagram /-
 /-- Taking the multiequalizer over the multicospan index is equivalent to taking the equalizer over
@@ -265,25 +277,33 @@ def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C
 #align category_theory.limits.multispan_index.multispan CategoryTheory.Limits.MultispanIndex.multispan
 -/
 
+#print CategoryTheory.Limits.MultispanIndex.multispan_obj_left /-
 @[simp]
 theorem multispan_obj_left (a) : I.multispan.obj (WalkingMultispan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_left CategoryTheory.Limits.MultispanIndex.multispan_obj_left
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.multispan_obj_right /-
 @[simp]
 theorem multispan_obj_right (b) : I.multispan.obj (WalkingMultispan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_right CategoryTheory.Limits.MultispanIndex.multispan_obj_right
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.multispan_map_fst /-
 @[simp]
 theorem multispan_map_fst (a) : I.multispan.map (WalkingMultispan.Hom.fst a) = I.fst a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fst
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.multispan_map_snd /-
 @[simp]
 theorem multispan_map_snd (a) : I.multispan.map (WalkingMultispan.Hom.snd a) = I.snd a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_map_snd CategoryTheory.Limits.MultispanIndex.multispan_map_snd
+-/
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
@@ -301,15 +321,19 @@ noncomputable def sndSigmaMap : ∐ I.left ⟶ ∐ I.right :=
 #align category_theory.limits.multispan_index.snd_sigma_map CategoryTheory.Limits.MultispanIndex.sndSigmaMap
 -/
 
+#print CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap /-
 @[simp, reassoc]
 theorem ι_fstSigmaMap (b) : Sigma.ι I.left b ≫ I.fstSigmaMap = I.fst b ≫ Sigma.ι I.right _ := by
   simp [fst_sigma_map]
 #align category_theory.limits.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMap /-
 @[simp, reassoc]
 theorem ι_sndSigmaMap (b) : Sigma.ι I.left b ≫ I.sndSigmaMap = I.snd b ≫ Sigma.ι I.right _ := by
   simp [snd_sigma_map]
 #align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMap
+-/
 
 #print CategoryTheory.Limits.MultispanIndex.parallelPairDiagram /-
 /--
@@ -352,27 +376,35 @@ def ι (a : I.L) : K.pt ⟶ I.left a :=
 #align category_theory.limits.multifork.ι CategoryTheory.Limits.Multifork.ι
 -/
 
+#print CategoryTheory.Limits.Multifork.app_left_eq_ι /-
 @[simp]
 theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
   rfl
 #align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ι
+-/
 
+#print CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst /-
 @[simp]
 theorem app_right_eq_ι_comp_fst (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.fstTo b) ≫ I.fst b := by
   rw [← K.w (walking_multicospan.hom.fst b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst
+-/
 
+#print CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd /-
 @[reassoc]
 theorem app_right_eq_ι_comp_snd (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← K.w (walking_multicospan.hom.snd b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
+-/
 
+#print CategoryTheory.Limits.Multifork.hom_comp_ι /-
 @[simp, reassoc]
 theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
   f.w (WalkingMulticospan.left j)
 #align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ι
+-/
 
 #print CategoryTheory.Limits.Multifork.ofι /-
 /-- Construct a multifork using a collection `ι` of morphisms. -/
@@ -394,10 +426,12 @@ def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
 #align category_theory.limits.multifork.of_ι CategoryTheory.Limits.Multifork.ofι
 -/
 
+#print CategoryTheory.Limits.Multifork.condition /-
 @[simp, reassoc]
 theorem condition (b) : K.ι (I.fstTo b) ≫ I.fst b = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← app_right_eq_ι_comp_fst, ← app_right_eq_ι_comp_snd]
 #align category_theory.limits.multifork.condition CategoryTheory.Limits.Multifork.condition
+-/
 
 #print CategoryTheory.Limits.Multifork.IsLimit.mk /-
 /-- This definition provides a convenient way to show that a multifork is a limit. -/
@@ -425,12 +459,14 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
 variable [HasProduct I.left] [HasProduct I.right]
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
+#print CategoryTheory.Limits.Multifork.pi_condition /-
 @[simp, reassoc]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap := by ext;
   trace
     "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]";
   simp
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
+-/
 
 #print CategoryTheory.Limits.Multifork.toPiFork /-
 /-- Given a multifork, we may obtain a fork over `∏ I.left ⇉ ∏ I.right`. -/
@@ -450,15 +486,19 @@ noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
 #align category_theory.limits.multifork.to_pi_fork CategoryTheory.Limits.Multifork.toPiFork
 -/
 
+#print CategoryTheory.Limits.Multifork.toPiFork_π_app_zero /-
 @[simp]
 theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
+-/
 
+#print CategoryTheory.Limits.Multifork.toPiFork_π_app_one /-
 @[simp]
 theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lift K.ι ≫ I.fstPiMap :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_one CategoryTheory.Limits.Multifork.toPiFork_π_app_one
+-/
 
 variable (I)
 
@@ -481,17 +521,21 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
 #align category_theory.limits.multifork.of_pi_fork CategoryTheory.Limits.Multifork.ofPiFork
 -/
 
+#print CategoryTheory.Limits.Multifork.ofPiFork_π_app_left /-
 @[simp]
 theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).ι a = c.ι ≫ Pi.π _ _ :=
   rfl
 #align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_left
+-/
 
+#print CategoryTheory.Limits.Multifork.ofPiFork_π_app_right /-
 @[simp]
 theorem ofPiFork_π_app_right (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).π.app (WalkingMulticospan.right a) = c.ι ≫ I.fstPiMap ≫ Pi.π _ _ :=
   rfl
 #align category_theory.limits.multifork.of_pi_fork_π_app_right CategoryTheory.Limits.Multifork.ofPiFork_π_app_right
+-/
 
 end Multifork
 
@@ -531,6 +575,7 @@ noncomputable def ofPiForkFunctor : Fork I.fstPiMap I.sndPiMap ⥤ Multifork I
 #align category_theory.limits.multicospan_index.of_pi_fork_functor CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctor
 -/
 
+#print CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork /-
 /-- The category of multiforks is equivalent to the category of forks over `∏ I.left ⇉ ∏ I.right`.
 It then follows from `category_theory.is_limit_of_preserves_cone_terminal` (or `reflects`) that it
 preserves and reflects limit cones.
@@ -552,6 +597,7 @@ noncomputable def multiforkEquivPiFork : Multifork I ≌ Fork I.fstPiMap I.sndPi
     NatIso.ofComponents (fun K => Fork.ext (Iso.refl _) (by ext ⟨j⟩; dsimp; simp)) fun K₁ K₂ f => by
       ext; simp
 #align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork
+-/
 
 end MulticospanIndex
 
@@ -566,20 +612,26 @@ def π (b : I.R) : I.right b ⟶ K.pt :=
 #align category_theory.limits.multicofork.π CategoryTheory.Limits.Multicofork.π
 -/
 
+#print CategoryTheory.Limits.Multicofork.π_eq_app_right /-
 @[simp]
 theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
   rfl
 #align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_right
+-/
 
+#print CategoryTheory.Limits.Multicofork.fst_app_right /-
 @[simp]
 theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ := by
   rw [← K.w (walking_multispan.hom.fst a)]; rfl
 #align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_right
+-/
 
+#print CategoryTheory.Limits.Multicofork.snd_app_right /-
 @[reassoc]
 theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ := by
   rw [← K.w (walking_multispan.hom.snd a)]; rfl
 #align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_right
+-/
 
 #print CategoryTheory.Limits.Multicofork.ofπ /-
 /-- Construct a multicofork using a collection `π` of morphisms. -/
@@ -601,10 +653,12 @@ def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
 #align category_theory.limits.multicofork.of_π CategoryTheory.Limits.Multicofork.ofπ
 -/
 
+#print CategoryTheory.Limits.Multicofork.condition /-
 @[simp, reassoc]
 theorem condition (a) : I.fst a ≫ K.π (I.fstFrom a) = I.snd a ≫ K.π (I.sndFrom a) := by
   rw [← K.snd_app_right, ← K.fst_app_right]
 #align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.condition
+-/
 
 #print CategoryTheory.Limits.Multicofork.IsColimit.mk /-
 /-- This definition provides a convenient way to show that a multicofork is a colimit. -/
@@ -632,12 +686,14 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
+#print CategoryTheory.Limits.Multicofork.sigma_condition /-
 @[simp, reassoc]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π := by ext;
   trace
     "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]";
   simp
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition
+-/
 
 #print CategoryTheory.Limits.Multicofork.toSigmaCofork /-
 /-- Given a multicofork, we may obtain a cofork over `∐ I.left ⇉ ∐ I.right`. -/
@@ -657,10 +713,12 @@ noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.snd
 #align category_theory.limits.multicofork.to_sigma_cofork CategoryTheory.Limits.Multicofork.toSigmaCofork
 -/
 
+#print CategoryTheory.Limits.Multicofork.toSigmaCofork_π /-
 @[simp]
 theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
   rfl
 #align category_theory.limits.multicofork.to_sigma_cofork_π CategoryTheory.Limits.Multicofork.toSigmaCofork_π
+-/
 
 variable (I)
 
@@ -686,18 +744,22 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork
 -/
 
+#print CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left /-
 @[simp]
 theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.left a) =
       (Sigma.ι I.left a : _) ≫ I.fstSigmaMap ≫ c.π :=
   rfl
 #align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left
+-/
 
+#print CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right /-
 @[simp]
 theorem ofSigmaCofork_ι_app_right (c : Cofork I.fstSigmaMap I.sndSigmaMap) (b) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.right b) = (Sigma.ι I.right b : _) ≫ c.π :=
   rfl
 #align category_theory.limits.multicofork.of_sigma_cofork_ι_app_right CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right
+-/
 
 end Multicofork
 
@@ -729,6 +791,7 @@ noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤
 #align category_theory.limits.multispan_index.of_sigma_cofork_functor CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor
 -/
 
+#print CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork /-
 /--
 The category of multicoforks is equivalent to the category of coforks over `∐ I.left ⇉ ∐ I.right`.
 It then follows from `category_theory.is_colimit_of_preserves_cocone_initial` (or `reflects`) that
@@ -749,6 +812,7 @@ noncomputable def multicoforkEquivSigmaCofork : Multicofork I ≌ Cofork I.fstSi
           (by ext ⟨j⟩; dsimp; simp only [category.comp_id, colimit.ι_desc, cofan.mk_ι_app]; rfl))
       fun K₁ K₂ f => by ext; dsimp; simp
 #align category_theory.limits.multispan_index.multicofork_equiv_sigma_cofork CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork
+-/
 
 end MultispanIndex
 
@@ -802,22 +866,28 @@ abbrev multifork : Multifork I :=
 #align category_theory.limits.multiequalizer.multifork CategoryTheory.Limits.Multiequalizer.multifork
 -/
 
+#print CategoryTheory.Limits.Multiequalizer.multifork_ι /-
 @[simp]
 theorem multifork_ι (a) : (Multiequalizer.multifork I).ι a = Multiequalizer.ι I a :=
   rfl
 #align category_theory.limits.multiequalizer.multifork_ι CategoryTheory.Limits.Multiequalizer.multifork_ι
+-/
 
+#print CategoryTheory.Limits.Multiequalizer.multifork_π_app_left /-
 @[simp]
 theorem multifork_π_app_left (a) :
     (Multiequalizer.multifork I).π.app (WalkingMulticospan.left a) = Multiequalizer.ι I a :=
   rfl
 #align category_theory.limits.multiequalizer.multifork_π_app_left CategoryTheory.Limits.Multiequalizer.multifork_π_app_left
+-/
 
+#print CategoryTheory.Limits.Multiequalizer.condition /-
 @[reassoc]
 theorem condition (b) :
     Multiequalizer.ι I (I.fstTo b) ≫ I.fst b = Multiequalizer.ι I (I.sndTo b) ≫ I.snd b :=
   Multifork.condition _ _
 #align category_theory.limits.multiequalizer.condition CategoryTheory.Limits.Multiequalizer.condition
+-/
 
 #print CategoryTheory.Limits.Multiequalizer.lift /-
 /-- Construct a morphism to the multiequalizer from its universal property. -/
@@ -827,13 +897,16 @@ abbrev lift (W : C) (k : ∀ a, W ⟶ I.left a)
 #align category_theory.limits.multiequalizer.lift CategoryTheory.Limits.Multiequalizer.lift
 -/
 
+#print CategoryTheory.Limits.Multiequalizer.lift_ι /-
 @[simp, reassoc]
 theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) (a) :
     Multiequalizer.lift I _ k h ≫ Multiequalizer.ι I a = k _ :=
   limit.lift_π _ _
 #align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.Multiequalizer.lift_ι
+-/
 
+#print CategoryTheory.Limits.Multiequalizer.hom_ext /-
 @[ext]
 theorem hom_ext {W : C} (i j : W ⟶ multiequalizer I)
     (h : ∀ a, i ≫ Multiequalizer.ι I a = j ≫ Multiequalizer.ι I a) : i = j :=
@@ -843,6 +916,7 @@ theorem hom_ext {W : C} (i j : W ⟶ multiequalizer I)
       · apply h
       simp_rw [← limit.w I.multicospan (walking_multicospan.hom.fst b), ← category.assoc, h])
 #align category_theory.limits.multiequalizer.hom_ext CategoryTheory.Limits.Multiequalizer.hom_ext
+-/
 
 variable [HasProduct I.left] [HasProduct I.right]
 
@@ -864,10 +938,12 @@ def ιPi : multiequalizer I ⟶ ∏ I.left :=
 #align category_theory.limits.multiequalizer.ι_pi CategoryTheory.Limits.Multiequalizer.ιPi
 -/
 
+#print CategoryTheory.Limits.Multiequalizer.ιPi_π /-
 @[simp, reassoc]
 theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a := by
   rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]; simpa
 #align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_π
+-/
 
 instance : Mono (ιPi I) :=
   @mono_comp _ _ _ _ equalizer.ι_mono
@@ -892,22 +968,28 @@ abbrev multicofork : Multicofork I :=
 #align category_theory.limits.multicoequalizer.multicofork CategoryTheory.Limits.Multicoequalizer.multicofork
 -/
 
+#print CategoryTheory.Limits.Multicoequalizer.multicofork_π /-
 @[simp]
 theorem multicofork_π (b) : (Multicoequalizer.multicofork I).π b = Multicoequalizer.π I b :=
   rfl
 #align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.Multicoequalizer.multicofork_π
+-/
 
+#print CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right /-
 @[simp]
 theorem multicofork_ι_app_right (b) :
     (Multicoequalizer.multicofork I).ι.app (WalkingMultispan.right b) = Multicoequalizer.π I b :=
   rfl
 #align category_theory.limits.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right
+-/
 
+#print CategoryTheory.Limits.Multicoequalizer.condition /-
 @[reassoc]
 theorem condition (a) :
     I.fst a ≫ Multicoequalizer.π I (I.fstFrom a) = I.snd a ≫ Multicoequalizer.π I (I.sndFrom a) :=
   Multicofork.condition _ _
 #align category_theory.limits.multicoequalizer.condition CategoryTheory.Limits.Multicoequalizer.condition
+-/
 
 #print CategoryTheory.Limits.Multicoequalizer.desc /-
 /-- Construct a morphism from the multicoequalizer from its universal property. -/
@@ -917,13 +999,16 @@ abbrev desc (W : C) (k : ∀ b, I.right b ⟶ W)
 #align category_theory.limits.multicoequalizer.desc CategoryTheory.Limits.Multicoequalizer.desc
 -/
 
+#print CategoryTheory.Limits.Multicoequalizer.π_desc /-
 @[simp, reassoc]
 theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) (b) :
     Multicoequalizer.π I b ≫ Multicoequalizer.desc I _ k h = k _ :=
   colimit.ι_desc _ _
 #align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.Multicoequalizer.π_desc
+-/
 
+#print CategoryTheory.Limits.Multicoequalizer.hom_ext /-
 @[ext]
 theorem hom_ext {W : C} (i j : multicoequalizer I ⟶ W)
     (h : ∀ b, Multicoequalizer.π I b ≫ i = Multicoequalizer.π I b ≫ j) : i = j :=
@@ -933,6 +1018,7 @@ theorem hom_ext {W : C} (i j : multicoequalizer I ⟶ W)
       · simp_rw [← colimit.w I.multispan (walking_multispan.hom.fst a), category.assoc, h]
       · apply h)
 #align category_theory.limits.multicoequalizer.hom_ext CategoryTheory.Limits.Multicoequalizer.hom_ext
+-/
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
@@ -958,10 +1044,12 @@ def sigmaπ : ∐ I.right ⟶ multicoequalizer I :=
 #align category_theory.limits.multicoequalizer.sigma_π CategoryTheory.Limits.Multicoequalizer.sigmaπ
 -/
 
+#print CategoryTheory.Limits.Multicoequalizer.ι_sigmaπ /-
 @[simp, reassoc]
 theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b := by
   rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]; simpa
 #align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπ
+-/
 
 instance : Epi (sigmaπ I) :=
   @epi_comp _ _ coequalizer.π_epi _ _

97eab485

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -185,39 +185,21 @@ def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C
 #align category_theory.limits.multicospan_index.multicospan CategoryTheory.Limits.MulticospanIndex.multicospan
 -/
 
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 @[simp]
 theorem multicospan_obj_left (a) : I.multicospan.obj (WalkingMulticospan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_left CategoryTheory.Limits.MulticospanIndex.multicospan_obj_left
 
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 @[simp]
 theorem multicospan_obj_right (b) : I.multicospan.obj (WalkingMulticospan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_right CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right
 
-/- warning: category_theory.limits.multicospan_index.multicospan_map_fst -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fstₓ'. -/
 @[simp]
 theorem multicospan_map_fst (b) : I.multicospan.map (WalkingMulticospan.Hom.fst b) = I.fst b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst
 
-/- warning: category_theory.limits.multicospan_index.multicospan_map_snd -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_snd CategoryTheory.Limits.MulticospanIndex.multicospan_map_sndₓ'. -/
 @[simp]
 theorem multicospan_map_snd (b) : I.multicospan.map (WalkingMulticospan.Hom.snd b) = I.snd b :=
   rfl
@@ -239,23 +221,11 @@ noncomputable def sndPiMap : ∏ I.left ⟶ ∏ I.right :=
 #align category_theory.limits.multicospan_index.snd_pi_map CategoryTheory.Limits.MulticospanIndex.sndPiMap
 -/
 
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 @[simp, reassoc]
 theorem fstPiMap_π (b) : I.fstPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.fst b := by
   simp [fst_pi_map]
 #align category_theory.limits.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_π
 
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 @[simp, reassoc]
 theorem sndPiMap_π (b) : I.sndPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.snd b := by
   simp [snd_pi_map]
@@ -295,39 +265,21 @@ def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C
 #align category_theory.limits.multispan_index.multispan CategoryTheory.Limits.MultispanIndex.multispan
 -/
 
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 @[simp]
 theorem multispan_obj_left (a) : I.multispan.obj (WalkingMultispan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_left CategoryTheory.Limits.MultispanIndex.multispan_obj_left
 
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 @[simp]
 theorem multispan_obj_right (b) : I.multispan.obj (WalkingMultispan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_right CategoryTheory.Limits.MultispanIndex.multispan_obj_right
 
-/- warning: category_theory.limits.multispan_index.multispan_map_fst -> CategoryTheory.Limits.MultispanIndex.multispan_map_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fstₓ'. -/
 @[simp]
 theorem multispan_map_fst (a) : I.multispan.map (WalkingMultispan.Hom.fst a) = I.fst a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fst
 
-/- warning: category_theory.limits.multispan_index.multispan_map_snd -> CategoryTheory.Limits.MultispanIndex.multispan_map_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.multispan_map_snd CategoryTheory.Limits.MultispanIndex.multispan_map_sndₓ'. -/
 @[simp]
 theorem multispan_map_snd (a) : I.multispan.map (WalkingMultispan.Hom.snd a) = I.snd a :=
   rfl
@@ -349,23 +301,11 @@ noncomputable def sndSigmaMap : ∐ I.left ⟶ ∐ I.right :=
 #align category_theory.limits.multispan_index.snd_sigma_map CategoryTheory.Limits.MultispanIndex.sndSigmaMap
 -/
 
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 @[simp, reassoc]
 theorem ι_fstSigmaMap (b) : Sigma.ι I.left b ≫ I.fstSigmaMap = I.fst b ≫ Sigma.ι I.right _ := by
   simp [fst_sigma_map]
 #align category_theory.limits.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMapₓ'. -/
 @[simp, reassoc]
 theorem ι_sndSigmaMap (b) : Sigma.ι I.left b ≫ I.sndSigmaMap = I.snd b ≫ Sigma.ι I.right _ := by
   simp [snd_sigma_map]
@@ -412,35 +352,23 @@ def ι (a : I.L) : K.pt ⟶ I.left a :=
 #align category_theory.limits.multifork.ι CategoryTheory.Limits.Multifork.ι
 -/
 
-/- warning: category_theory.limits.multifork.app_left_eq_ι -> CategoryTheory.Limits.Multifork.app_left_eq_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ιₓ'. -/
 @[simp]
 theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
   rfl
 #align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ι
 
-/- warning: category_theory.limits.multifork.app_right_eq_ι_comp_fst -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fstₓ'. -/
 @[simp]
 theorem app_right_eq_ι_comp_fst (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.fstTo b) ≫ I.fst b := by
   rw [← K.w (walking_multicospan.hom.fst b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst
 
-/- warning: category_theory.limits.multifork.app_right_eq_ι_comp_snd -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_sndₓ'. -/
 @[reassoc]
 theorem app_right_eq_ι_comp_snd (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← K.w (walking_multicospan.hom.snd b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
 
-/- warning: category_theory.limits.multifork.hom_comp_ι -> CategoryTheory.Limits.Multifork.hom_comp_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ιₓ'. -/
 @[simp, reassoc]
 theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
   f.w (WalkingMulticospan.left j)
@@ -466,12 +394,6 @@ def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
 #align category_theory.limits.multifork.of_ι CategoryTheory.Limits.Multifork.ofι
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.condition CategoryTheory.Limits.Multifork.conditionₓ'. -/
 @[simp, reassoc]
 theorem condition (b) : K.ι (I.fstTo b) ≫ I.fst b = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← app_right_eq_ι_comp_fst, ← app_right_eq_ι_comp_snd]
@@ -502,9 +424,6 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
 
 variable [HasProduct I.left] [HasProduct I.right]
 
-/- warning: category_theory.limits.multifork.pi_condition -> CategoryTheory.Limits.Multifork.pi_condition is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap := by ext;
@@ -531,17 +450,11 @@ noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
 #align category_theory.limits.multifork.to_pi_fork CategoryTheory.Limits.Multifork.toPiFork
 -/
 
-/- warning: category_theory.limits.multifork.to_pi_fork_π_app_zero -> CategoryTheory.Limits.Multifork.toPiFork_π_app_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zeroₓ'. -/
 @[simp]
 theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
 
-/- warning: category_theory.limits.multifork.to_pi_fork_π_app_one -> CategoryTheory.Limits.Multifork.toPiFork_π_app_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_one CategoryTheory.Limits.Multifork.toPiFork_π_app_oneₓ'. -/
 @[simp]
 theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lift K.ι ≫ I.fstPiMap :=
   rfl
@@ -568,18 +481,12 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
 #align category_theory.limits.multifork.of_pi_fork CategoryTheory.Limits.Multifork.ofPiFork
 -/
 
-/- warning: category_theory.limits.multifork.of_pi_fork_π_app_left -> CategoryTheory.Limits.Multifork.ofPiFork_π_app_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_leftₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).ι a = c.ι ≫ Pi.π _ _ :=
   rfl
 #align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_left
 
-/- warning: category_theory.limits.multifork.of_pi_fork_π_app_right -> CategoryTheory.Limits.Multifork.ofPiFork_π_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.of_pi_fork_π_app_right CategoryTheory.Limits.Multifork.ofPiFork_π_app_rightₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_right (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).π.app (WalkingMulticospan.right a) = c.ι ≫ I.fstPiMap ≫ Pi.π _ _ :=
@@ -624,12 +531,6 @@ noncomputable def ofPiForkFunctor : Fork I.fstPiMap I.sndPiMap ⥤ Multifork I
 #align category_theory.limits.multicospan_index.of_pi_fork_functor CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctor
 -/
 
-/- warning: category_theory.limits.multicospan_index.multifork_equiv_pi_fork -> CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiForkₓ'. -/
 /-- The category of multiforks is equivalent to the category of forks over `∏ I.left ⇉ ∏ I.right`.
 It then follows from `category_theory.is_limit_of_preserves_cone_terminal` (or `reflects`) that it
 preserves and reflects limit cones.
@@ -665,25 +566,16 @@ def π (b : I.R) : I.right b ⟶ K.pt :=
 #align category_theory.limits.multicofork.π CategoryTheory.Limits.Multicofork.π
 -/
 
-/- warning: category_theory.limits.multicofork.π_eq_app_right -> CategoryTheory.Limits.Multicofork.π_eq_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_rightₓ'. -/
 @[simp]
 theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
   rfl
 #align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_right
 
-/- warning: category_theory.limits.multicofork.fst_app_right -> CategoryTheory.Limits.Multicofork.fst_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_rightₓ'. -/
 @[simp]
 theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ := by
   rw [← K.w (walking_multispan.hom.fst a)]; rfl
 #align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_right
 
-/- warning: category_theory.limits.multicofork.snd_app_right -> CategoryTheory.Limits.Multicofork.snd_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_rightₓ'. -/
 @[reassoc]
 theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ := by
   rw [← K.w (walking_multispan.hom.snd a)]; rfl
@@ -709,12 +601,6 @@ def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
 #align category_theory.limits.multicofork.of_π CategoryTheory.Limits.Multicofork.ofπ
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.conditionₓ'. -/
 @[simp, reassoc]
 theorem condition (a) : I.fst a ≫ K.π (I.fstFrom a) = I.snd a ≫ K.π (I.sndFrom a) := by
   rw [← K.snd_app_right, ← K.fst_app_right]
@@ -745,9 +631,6 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
-/- warning: category_theory.limits.multicofork.sigma_condition -> CategoryTheory.Limits.Multicofork.sigma_condition is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π := by ext;
@@ -774,9 +657,6 @@ noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.snd
 #align category_theory.limits.multicofork.to_sigma_cofork CategoryTheory.Limits.Multicofork.toSigmaCofork
 -/
 
-/- warning: category_theory.limits.multicofork.to_sigma_cofork_π -> CategoryTheory.Limits.Multicofork.toSigmaCofork_π is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.to_sigma_cofork_π CategoryTheory.Limits.Multicofork.toSigmaCofork_πₓ'. -/
 @[simp]
 theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
   rfl
@@ -806,9 +686,6 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork
 -/
 
-/- warning: category_theory.limits.multicofork.of_sigma_cofork_ι_app_left -> CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_leftₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.left a) =
@@ -816,9 +693,6 @@ theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
   rfl
 #align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left
 
-/- warning: category_theory.limits.multicofork.of_sigma_cofork_ι_app_right -> CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.of_sigma_cofork_ι_app_right CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_rightₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_right (c : Cofork I.fstSigmaMap I.sndSigmaMap) (b) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.right b) = (Sigma.ι I.right b : _) ≫ c.π :=
@@ -855,12 +729,6 @@ noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤
 #align category_theory.limits.multispan_index.of_sigma_cofork_functor CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor
 -/
 
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 /--
 The category of multicoforks is equivalent to the category of coforks over `∐ I.left ⇉ ∐ I.right`.
 It then follows from `category_theory.is_colimit_of_preserves_cocone_initial` (or `reflects`) that
@@ -934,32 +802,17 @@ abbrev multifork : Multifork I :=
 #align category_theory.limits.multiequalizer.multifork CategoryTheory.Limits.Multiequalizer.multifork
 -/
 
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 @[simp]
 theorem multifork_ι (a) : (Multiequalizer.multifork I).ι a = Multiequalizer.ι I a :=
   rfl
 #align category_theory.limits.multiequalizer.multifork_ι CategoryTheory.Limits.Multiequalizer.multifork_ι
 
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-<too large>
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 @[simp]
 theorem multifork_π_app_left (a) :
     (Multiequalizer.multifork I).π.app (WalkingMulticospan.left a) = Multiequalizer.ι I a :=
   rfl
 #align category_theory.limits.multiequalizer.multifork_π_app_left CategoryTheory.Limits.Multiequalizer.multifork_π_app_left
 
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 @[reassoc]
 theorem condition (b) :
     Multiequalizer.ι I (I.fstTo b) ≫ I.fst b = Multiequalizer.ι I (I.sndTo b) ≫ I.snd b :=
@@ -974,12 +827,6 @@ abbrev lift (W : C) (k : ∀ a, W ⟶ I.left a)
 #align category_theory.limits.multiequalizer.lift CategoryTheory.Limits.Multiequalizer.lift
 -/
 
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 @[simp, reassoc]
 theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) (a) :
@@ -987,12 +834,6 @@ theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
   limit.lift_π _ _
 #align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.Multiequalizer.lift_ι
 
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 @[ext]
 theorem hom_ext {W : C} (i j : W ⟶ multiequalizer I)
     (h : ∀ a, i ≫ Multiequalizer.ι I a = j ≫ Multiequalizer.ι I a) : i = j :=
@@ -1023,12 +864,6 @@ def ιPi : multiequalizer I ⟶ ∏ I.left :=
 #align category_theory.limits.multiequalizer.ι_pi CategoryTheory.Limits.Multiequalizer.ιPi
 -/
 
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 @[simp, reassoc]
 theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a := by
   rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]; simpa
@@ -1057,32 +892,17 @@ abbrev multicofork : Multicofork I :=
 #align category_theory.limits.multicoequalizer.multicofork CategoryTheory.Limits.Multicoequalizer.multicofork
 -/
 
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 @[simp]
 theorem multicofork_π (b) : (Multicoequalizer.multicofork I).π b = Multicoequalizer.π I b :=
   rfl
 #align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.Multicoequalizer.multicofork_π
 
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 @[simp]
 theorem multicofork_ι_app_right (b) :
     (Multicoequalizer.multicofork I).ι.app (WalkingMultispan.right b) = Multicoequalizer.π I b :=
   rfl
 #align category_theory.limits.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right
 
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 @[reassoc]
 theorem condition (a) :
     I.fst a ≫ Multicoequalizer.π I (I.fstFrom a) = I.snd a ≫ Multicoequalizer.π I (I.sndFrom a) :=
@@ -1097,12 +917,6 @@ abbrev desc (W : C) (k : ∀ b, I.right b ⟶ W)
 #align category_theory.limits.multicoequalizer.desc CategoryTheory.Limits.Multicoequalizer.desc
 -/
 
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 @[simp, reassoc]
 theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) (b) :
@@ -1110,12 +924,6 @@ theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
   colimit.ι_desc _ _
 #align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.Multicoequalizer.π_desc
 
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 @[ext]
 theorem hom_ext {W : C} (i j : multicoequalizer I ⟶ W)
     (h : ∀ b, Multicoequalizer.π I b ≫ i = Multicoequalizer.π I b ≫ j) : i = j :=
@@ -1150,12 +958,6 @@ def sigmaπ : ∐ I.right ⟶ multicoequalizer I :=
 #align category_theory.limits.multicoequalizer.sigma_π CategoryTheory.Limits.Multicoequalizer.sigmaπ
 -/
 
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-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u1, u2, u3} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u1, u2, u3} C _inst_1 I _inst_2 b)
-but is expected to have type
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b)
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπₓ'. -/
 @[simp, reassoc]
 theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b := by
   rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]; simpa

97eab485

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -92,15 +92,9 @@ instance : SmallCategory (WalkingMulticospan fst snd)
   Hom := Hom
   id := Hom.id
   comp X Y Z := Hom.comp
-  id_comp' := by
-    rintro (_ | _) (_ | _) (_ | _ | _)
-    tidy
-  comp_id' := by
-    rintro (_ | _) (_ | _) (_ | _ | _)
-    tidy
-  assoc' := by
-    rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _)
-    tidy
+  id_comp' := by rintro (_ | _) (_ | _) (_ | _ | _); tidy
+  comp_id' := by rintro (_ | _) (_ | _) (_ | _ | _); tidy
+  assoc' := by rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _); tidy
 
 end WalkingMulticospan
 
@@ -137,15 +131,9 @@ instance : SmallCategory (WalkingMultispan fst snd)
   Hom := Hom
   id := Hom.id
   comp X Y Z := Hom.comp
-  id_comp' := by
-    rintro (_ | _) (_ | _) (_ | _ | _)
-    tidy
-  comp_id' := by
-    rintro (_ | _) (_ | _) (_ | _ | _)
-    tidy
-  assoc' := by
-    rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _)
-    tidy
+  id_comp' := by rintro (_ | _) (_ | _) (_ | _ | _); tidy
+  comp_id' := by rintro (_ | _) (_ | _) (_ | _ | _); tidy
+  assoc' := by rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _); tidy
 
 end WalkingMultispan
 
@@ -192,12 +180,8 @@ def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C
     | _, _, walking_multicospan.hom.id x => 𝟙 _
     | _, _, walking_multicospan.hom.fst b => I.fst _
     | _, _, walking_multicospan.hom.snd b => I.snd _
-  map_id' := by
-    rintro (_ | _)
-    tidy
-  map_comp' := by
-    rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _)
-    tidy
+  map_id' := by rintro (_ | _); tidy
+  map_comp' := by rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _); tidy
 #align category_theory.limits.multicospan_index.multicospan CategoryTheory.Limits.MulticospanIndex.multicospan
 -/
 
@@ -306,12 +290,8 @@ def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C
     | _, _, walking_multispan.hom.id x => 𝟙 _
     | _, _, walking_multispan.hom.fst b => I.fst _
     | _, _, walking_multispan.hom.snd b => I.snd _
-  map_id' := by
-    rintro (_ | _)
-    tidy
-  map_comp' := by
-    rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _)
-    tidy
+  map_id' := by rintro (_ | _); tidy
+  map_comp' := by rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _); tidy
 #align category_theory.limits.multispan_index.multispan CategoryTheory.Limits.MultispanIndex.multispan
 -/
 
@@ -445,10 +425,8 @@ theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fstₓ'. -/
 @[simp]
 theorem app_right_eq_ι_comp_fst (b) :
-    K.π.app (WalkingMulticospan.right b) = K.ι (I.fstTo b) ≫ I.fst b :=
-  by
-  rw [← K.w (walking_multicospan.hom.fst b)]
-  rfl
+    K.π.app (WalkingMulticospan.right b) = K.ι (I.fstTo b) ≫ I.fst b := by
+  rw [← K.w (walking_multicospan.hom.fst b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst
 
 /- warning: category_theory.limits.multifork.app_right_eq_ι_comp_snd -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd is a dubious translation:
@@ -456,10 +434,8 @@ theorem app_right_eq_ι_comp_fst (b) :
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_sndₓ'. -/
 @[reassoc]
 theorem app_right_eq_ι_comp_snd (b) :
-    K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b :=
-  by
-  rw [← K.w (walking_multicospan.hom.snd b)]
-  rfl
+    K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b := by
+  rw [← K.w (walking_multicospan.hom.snd b)]; rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
 
 /- warning: category_theory.limits.multifork.hom_comp_ι -> CategoryTheory.Limits.Multifork.hom_comp_ι is a dubious translation:
@@ -485,12 +461,8 @@ def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
       naturality' := by
         rintro (_ | _) (_ | _) (_ | _ | _)
         any_goals symm; dsimp; rw [category.id_comp]; apply category.comp_id
-        · dsimp
-          rw [category.id_comp]
-          rfl
-        · dsimp
-          rw [category.id_comp]
-          apply w }
+        · dsimp; rw [category.id_comp]; rfl
+        · dsimp; rw [category.id_comp]; apply w }
 #align category_theory.limits.multifork.of_ι CategoryTheory.Limits.Multifork.ofι
 -/
 
@@ -535,11 +507,9 @@ variable [HasProduct I.left] [HasProduct I.right]
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
-theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap :=
-  by
-  ext
+theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap := by ext;
   trace
-    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]"
+    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]";
   simp
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
 
@@ -593,11 +563,8 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
       naturality' := by
         rintro (_ | _) (_ | _) (_ | _ | _)
         any_goals symm; dsimp; rw [category.id_comp]; apply category.comp_id
-        · change 𝟙 _ ≫ _ ≫ _ = (_ ≫ _) ≫ _
-          simp
-        · change 𝟙 _ ≫ _ ≫ _ = (_ ≫ _) ≫ _
-          rw [c.condition_assoc]
-          simp }
+        · change 𝟙 _ ≫ _ ≫ _ = (_ ≫ _) ≫ _; simp
+        · change 𝟙 _ ≫ _ ≫ _ = (_ ≫ _) ≫ _; rw [c.condition_assoc]; simp }
 #align category_theory.limits.multifork.of_pi_fork CategoryTheory.Limits.Multifork.ofPiFork
 -/
 
@@ -637,9 +604,7 @@ noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap
     { Hom := f.Hom
       w' := by
         rintro (_ | _)
-        · ext
-          dsimp
-          simp
+        · ext; dsimp; simp
         · ext
           simp only [multifork.to_pi_fork_π_app_one, multifork.pi_condition, category.assoc]
           dsimp [snd_pi_map]
@@ -681,20 +646,10 @@ noncomputable def multiforkEquivPiFork : Multifork I ≌ Fork I.fstPiMap I.sndPi
           (by
             rintro (_ | _) <;> dsimp <;>
               simp [← fork.app_one_eq_ι_comp_left, -fork.app_one_eq_ι_comp_left]))
-      fun K₁ K₂ f => by
-      ext
-      simp
+      fun K₁ K₂ f => by ext; simp
   counitIso :=
-    NatIso.ofComponents
-      (fun K =>
-        Fork.ext (Iso.refl _)
-          (by
-            ext ⟨j⟩
-            dsimp
-            simp))
-      fun K₁ K₂ f => by
-      ext
-      simp
+    NatIso.ofComponents (fun K => Fork.ext (Iso.refl _) (by ext ⟨j⟩; dsimp; simp)) fun K₁ K₂ f => by
+      ext; simp
 #align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork
 
 end MulticospanIndex
@@ -722,20 +677,16 @@ theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_rightₓ'. -/
 @[simp]
-theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ :=
-  by
-  rw [← K.w (walking_multispan.hom.fst a)]
-  rfl
+theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ := by
+  rw [← K.w (walking_multispan.hom.fst a)]; rfl
 #align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_right
 
 /- warning: category_theory.limits.multicofork.snd_app_right -> CategoryTheory.Limits.Multicofork.snd_app_right is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_rightₓ'. -/
 @[reassoc]
-theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ :=
-  by
-  rw [← K.w (walking_multispan.hom.snd a)]
-  rfl
+theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ := by
+  rw [← K.w (walking_multispan.hom.snd a)]; rfl
 #align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_right
 
 #print CategoryTheory.Limits.Multicofork.ofπ /-
@@ -753,12 +704,8 @@ def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
       naturality' := by
         rintro (_ | _) (_ | _) (_ | _ | _)
         any_goals dsimp; rw [category.comp_id]; apply category.id_comp
-        · dsimp
-          rw [category.comp_id]
-          rfl
-        · dsimp
-          rw [category.comp_id]
-          apply (w _).symm }
+        · dsimp; rw [category.comp_id]; rfl
+        · dsimp; rw [category.comp_id]; apply (w _).symm }
 #align category_theory.limits.multicofork.of_π CategoryTheory.Limits.Multicofork.ofπ
 -/
 
@@ -803,11 +750,9 @@ variable [HasCoproduct I.left] [HasCoproduct I.right]
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
-theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π :=
-  by
-  ext
+theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π := by ext;
   trace
-    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]"
+    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]";
   simp
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition
 
@@ -853,13 +798,11 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
       naturality' := by
         rintro (_ | _) (_ | _) (_ | _ | _)
         any_goals dsimp; rw [category.comp_id]; apply category.id_comp
-        · change _ ≫ _ ≫ _ = (_ ≫ _) ≫ _
-          dsimp
+        · change _ ≫ _ ≫ _ = (_ ≫ _) ≫ _; dsimp
           simp only [cofork.condition, category.comp_id]
           rw [← I.ι_fst_sigma_map_assoc, c.condition]
         · change _ ≫ _ ≫ _ = (_ ≫ _) ≫ 𝟙 _
-          rw [c.condition]
-          simp }
+          rw [c.condition]; simp }
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork
 -/
 
@@ -930,22 +873,13 @@ noncomputable def multicoforkEquivSigmaCofork : Multicofork I ≌ Cofork I.fstSi
   inverse := ofSigmaCoforkFunctor I
   unitIso :=
     NatIso.ofComponents (fun K => Cocones.ext (Iso.refl _) (by rintro (_ | _) <;> dsimp <;> simp))
-      fun K₁ K₂ f => by
-      ext
-      simp
+      fun K₁ K₂ f => by ext; simp
   counitIso :=
     NatIso.ofComponents
       (fun K =>
         Cofork.ext (Iso.refl _)
-          (by
-            ext ⟨j⟩
-            dsimp
-            simp only [category.comp_id, colimit.ι_desc, cofan.mk_ι_app]
-            rfl))
-      fun K₁ K₂ f => by
-      ext
-      dsimp
-      simp
+          (by ext ⟨j⟩; dsimp; simp only [category.comp_id, colimit.ι_desc, cofan.mk_ι_app]; rfl))
+      fun K₁ K₂ f => by ext; dsimp; simp
 #align category_theory.limits.multispan_index.multicofork_equiv_sigma_cofork CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork
 
 end MultispanIndex
@@ -1096,10 +1030,8 @@ but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMultiequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (a : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multiequalizer.ιPi.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_3 a)) (CategoryTheory.Limits.Multiequalizer.ι.{u2, u3, u1} C _inst_1 I _inst_2 a)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_πₓ'. -/
 @[simp, reassoc]
-theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a :=
-  by
-  rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]
-  simpa
+theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a := by
+  rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]; simpa
 #align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_π
 
 instance : Mono (ιPi I) :=
@@ -1225,10 +1157,8 @@ but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπₓ'. -/
 @[simp, reassoc]
-theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b :=
-  by
-  rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]
-  simpa
+theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b := by
+  rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]; simpa
 #align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπ
 
 instance : Epi (sigmaπ I) :=

97eab485

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -224,10 +224,7 @@ theorem multicospan_obj_right (b) : I.multicospan.obj (WalkingMulticospan.right
 #align category_theory.limits.multicospan_index.multicospan_obj_right CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right
 
 /- warning: category_theory.limits.multicospan_index.multicospan_map_fst -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fstₓ'. -/
 @[simp]
 theorem multicospan_map_fst (b) : I.multicospan.map (WalkingMulticospan.Hom.fst b) = I.fst b :=
@@ -235,10 +232,7 @@ theorem multicospan_map_fst (b) : I.multicospan.map (WalkingMulticospan.Hom.fst
 #align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst
 
 /- warning: category_theory.limits.multicospan_index.multicospan_map_snd -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_snd is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_snd CategoryTheory.Limits.MulticospanIndex.multicospan_map_sndₓ'. -/
 @[simp]
 theorem multicospan_map_snd (b) : I.multicospan.map (WalkingMulticospan.Hom.snd b) = I.snd b :=
@@ -344,10 +338,7 @@ theorem multispan_obj_right (b) : I.multispan.obj (WalkingMultispan.right b) = I
 #align category_theory.limits.multispan_index.multispan_obj_right CategoryTheory.Limits.MultispanIndex.multispan_obj_right
 
 /- warning: category_theory.limits.multispan_index.multispan_map_fst -> CategoryTheory.Limits.MultispanIndex.multispan_map_fst 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.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fstₓ'. -/
 @[simp]
 theorem multispan_map_fst (a) : I.multispan.map (WalkingMultispan.Hom.fst a) = I.fst a :=
@@ -355,10 +346,7 @@ theorem multispan_map_fst (a) : I.multispan.map (WalkingMultispan.Hom.fst a) = I
 #align category_theory.limits.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fst
 
 /- warning: category_theory.limits.multispan_index.multispan_map_snd -> CategoryTheory.Limits.MultispanIndex.multispan_map_snd 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.multispan_index.multispan_map_snd CategoryTheory.Limits.MultispanIndex.multispan_map_sndₓ'. -/
 @[simp]
 theorem multispan_map_snd (a) : I.multispan.map (WalkingMultispan.Hom.snd a) = I.snd a :=
@@ -445,10 +433,7 @@ def ι (a : I.L) : K.pt ⟶ I.left a :=
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ιₓ'. -/
 @[simp]
 theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
@@ -456,10 +441,7 @@ theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
 #align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ι
 
 /- warning: category_theory.limits.multifork.app_right_eq_ι_comp_fst -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst 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.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fstₓ'. -/
 @[simp]
 theorem app_right_eq_ι_comp_fst (b) :
@@ -470,10 +452,7 @@ theorem app_right_eq_ι_comp_fst (b) :
 #align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst
 
 /- warning: category_theory.limits.multifork.app_right_eq_ι_comp_snd -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_sndₓ'. -/
 @[reassoc]
 theorem app_right_eq_ι_comp_snd (b) :
@@ -484,10 +463,7 @@ theorem app_right_eq_ι_comp_snd (b) :
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
 
 /- warning: category_theory.limits.multifork.hom_comp_ι -> CategoryTheory.Limits.Multifork.hom_comp_ι is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ιₓ'. -/
 @[simp, reassoc]
 theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
@@ -555,10 +531,7 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
 variable [HasProduct I.left] [HasProduct I.right]
 
 /- warning: category_theory.limits.multifork.pi_condition -> CategoryTheory.Limits.Multifork.pi_condition is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
@@ -589,10 +562,7 @@ noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zeroₓ'. -/
 @[simp]
 theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
@@ -600,10 +570,7 @@ theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
 #align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_one CategoryTheory.Limits.Multifork.toPiFork_π_app_oneₓ'. -/
 @[simp]
 theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lift K.ι ≫ I.fstPiMap :=
@@ -635,10 +602,7 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_leftₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
@@ -647,10 +611,7 @@ theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
 #align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_left
 
 /- warning: category_theory.limits.multifork.of_pi_fork_π_app_right -> CategoryTheory.Limits.Multifork.ofPiFork_π_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.of_pi_fork_π_app_right CategoryTheory.Limits.Multifork.ofPiFork_π_app_rightₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_right (c : Fork I.fstPiMap I.sndPiMap) (a) :
@@ -750,10 +711,7 @@ def π (b : I.R) : I.right b ⟶ K.pt :=
 -/
 
 /- warning: category_theory.limits.multicofork.π_eq_app_right -> CategoryTheory.Limits.Multicofork.π_eq_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_rightₓ'. -/
 @[simp]
 theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
@@ -761,10 +719,7 @@ theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
 #align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_right
 
 /- warning: category_theory.limits.multicofork.fst_app_right -> CategoryTheory.Limits.Multicofork.fst_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_rightₓ'. -/
 @[simp]
 theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ :=
@@ -774,10 +729,7 @@ theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.
 #align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_right
 
 /- warning: category_theory.limits.multicofork.snd_app_right -> CategoryTheory.Limits.Multicofork.snd_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_rightₓ'. -/
 @[reassoc]
 theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ :=
@@ -847,10 +799,7 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
 /- warning: category_theory.limits.multicofork.sigma_condition -> CategoryTheory.Limits.Multicofork.sigma_condition 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.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc]
@@ -881,10 +830,7 @@ noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.snd
 -/
 
 /- warning: category_theory.limits.multicofork.to_sigma_cofork_π -> CategoryTheory.Limits.Multicofork.toSigmaCofork_π is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.to_sigma_cofork_π CategoryTheory.Limits.Multicofork.toSigmaCofork_πₓ'. -/
 @[simp]
 theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
@@ -918,10 +864,7 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
 -/
 
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CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) c))) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Cofork.π.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) c)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_leftₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
@@ -931,10 +874,7 @@ theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
 #align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left
 
 /- warning: category_theory.limits.multicofork.of_sigma_cofork_ι_app_right -> CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right 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.multicofork.of_sigma_cofork_ι_app_right CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_rightₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_right (c : Cofork I.fstSigmaMap I.sndSigmaMap) (b) :
@@ -1072,10 +1012,7 @@ theorem multifork_ι (a) : (Multiequalizer.multifork I).ι a = Multiequalizer.ι
 #align category_theory.limits.multiequalizer.multifork_ι CategoryTheory.Limits.Multiequalizer.multifork_ι
 
 /- warning: category_theory.limits.multiequalizer.multifork_π_app_left -> CategoryTheory.Limits.Multiequalizer.multifork_π_app_left is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.multifork_π_app_left CategoryTheory.Limits.Multiequalizer.multifork_π_app_leftₓ'. -/
 @[simp]
 theorem multifork_π_app_left (a) :
@@ -1200,10 +1137,7 @@ theorem multicofork_π (b) : (Multicoequalizer.multicofork I).π b = Multicoequa
 #align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.Multicoequalizer.multicofork_π
 
 /- warning: category_theory.limits.multicoequalizer.multicofork_ι_app_right -> CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_rightₓ'. -/
 @[simp]
 theorem multicofork_ι_app_right (b) :

97eab485

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -267,7 +267,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u1, u2, u3} C _inst_1 I b))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_πₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem fstPiMap_π (b) : I.fstPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.fst b := by
   simp [fst_pi_map]
 #align category_theory.limits.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_π
@@ -278,7 +278,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.snd_pi_map_π CategoryTheory.Limits.MulticospanIndex.sndPiMap_πₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem sndPiMap_π (b) : I.sndPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.snd b := by
   simp [snd_pi_map]
 #align category_theory.limits.multicospan_index.snd_pi_map_π CategoryTheory.Limits.MulticospanIndex.sndPiMap_π
@@ -387,7 +387,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 b) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I b)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMapₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_fstSigmaMap (b) : Sigma.ι I.left b ≫ I.fstSigmaMap = I.fst b ≫ Sigma.ι I.right _ := by
   simp [fst_sigma_map]
 #align category_theory.limits.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap
@@ -398,7 +398,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 b) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I b)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMapₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_sndSigmaMap (b) : Sigma.ι I.left b ≫ I.sndSigmaMap = I.snd b ≫ Sigma.ι I.right _ := by
   simp [snd_sigma_map]
 #align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMap
@@ -475,7 +475,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)))) C 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(CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K)) (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) (CategoryTheory.Limits.Cone.π.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.WalkingMulticospan.right.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_sndₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem app_right_eq_ι_comp_snd (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b :=
   by
@@ -489,7 +489,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K₁ : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (K₂ : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (f : Quiver.Hom.{succ u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.CategoryStruct.toQuiver.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.Category.toCategoryStruct.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.Limits.Cone.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I)))) K₁ K₂) (j : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K₁) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I j)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K₁) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K₂) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I j) (CategoryTheory.Limits.ConeMorphism.Hom.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K₁ K₂ f) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K₂ j)) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K₁ j)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ιₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
   f.w (WalkingMulticospan.left j)
 #align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ι
@@ -524,7 +524,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.condition CategoryTheory.Limits.Multifork.conditionₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem condition (b) : K.ι (I.fstTo b) ≫ I.fst b = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← app_right_eq_ι_comp_fst, ← app_right_eq_ι_comp_snd]
 #align category_theory.limits.multifork.condition CategoryTheory.Limits.Multifork.condition
@@ -561,7 +561,7 @@ but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)], Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I b) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Pi.lift.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I b) _inst_2 (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K)) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I b) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Pi.lift.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I b) _inst_2 (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K)) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap :=
   by
   ext
@@ -779,7 +779,7 @@ lean 3 declaration is
 but is expected to have type
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u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I) a)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} 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(CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_rightₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ :=
   by
   rw [← K.w (walking_multispan.hom.snd a)]
@@ -816,7 +816,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u2, u3, u1} C _inst_1 I) (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.conditionₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem condition (a) : I.fst a ≫ K.π (I.fstFrom a) = I.snd a ≫ K.π (I.sndFrom a) := by
   rw [← K.snd_app_right, ← K.fst_app_right]
 #align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.condition
@@ -853,7 +853,7 @@ but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u2, u3, u1} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)], Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π :=
   by
   ext
@@ -1089,7 +1089,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMultiequalizer.{u2, u3, u1} C _inst_1 I] (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Multiequalizer.ι.{u2, u3, u1} C _inst_1 I _inst_2 (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Multiequalizer.ι.{u2, u3, u1} C _inst_1 I _inst_2 (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.condition CategoryTheory.Limits.Multiequalizer.conditionₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem condition (b) :
     Multiequalizer.ι I (I.fstTo b) ≫ I.fst b = Multiequalizer.ι I (I.sndTo b) ≫ I.snd b :=
   Multifork.condition _ _
@@ -1109,7 +1109,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMultiequalizer.{u2, u3, u1} C _inst_1 I] (W : C) (k : forall (a : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) W (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a)) (h : forall (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) W (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) W (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (k (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) W (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (k (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))) (a : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) W (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) W (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multiequalizer.lift.{u2, u3, u1} C _inst_1 I _inst_2 W k h) (CategoryTheory.Limits.Multiequalizer.ι.{u2, u3, u1} C _inst_1 I _inst_2 a)) (k a)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.Multiequalizer.lift_ιₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) (a) :
     Multiequalizer.lift I _ k h ≫ Multiequalizer.ι I a = k _ :=
@@ -1158,7 +1158,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMultiequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (a : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.multiequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multiequalizer.ιPi.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_3 a)) (CategoryTheory.Limits.Multiequalizer.ι.{u2, u3, u1} C _inst_1 I _inst_2 a)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_πₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a :=
   by
   rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]
@@ -1217,7 +1217,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.condition CategoryTheory.Limits.Multicoequalizer.conditionₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem condition (a) :
     I.fst a ≫ Multicoequalizer.π I (I.fstFrom a) = I.snd a ≫ Multicoequalizer.π I (I.sndFrom a) :=
   Multicofork.condition _ _
@@ -1237,7 +1237,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] (W : C) (k : forall (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) W) (h : forall (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) W) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a)) W (CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I a) (k (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)) W (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I a) (k (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)))) (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) W) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b) (CategoryTheory.Limits.Multicoequalizer.desc.{u2, u3, u1} C _inst_1 I _inst_2 W k h)) (k b)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.Multicoequalizer.π_descₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) (b) :
     Multicoequalizer.π I b ≫ Multicoequalizer.desc I _ k h = k _ :=
@@ -1290,7 +1290,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b :=
   by
   rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]

97eab485

bump to nightly-2023-03-25-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/d11893b411025250c8e61ff2f12ccbd7ee35ab15

9ce440f0

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
 
 ! This file was ported from Lean 3 source module category_theory.limits.shapes.multiequalizer
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Limits.ConeCategory
 
 # Multi-(co)equalizers
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A *multiequalizer* is an equalizer of two morphisms between two products.
 Since both products and equalizers are limits, such an object is again a limit.
 This file provides the diagram whose limit is indeed such an object.

70fd9563

bump to nightly-2023-03-23-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/57e09a1296bfb4330ddf6624f1028ba186117d82

53b827ba

Diff

@@ -38,19 +38,23 @@ open CategoryTheory
 
 universe w v u
 
+#print CategoryTheory.Limits.WalkingMulticospan /-
 /-- The type underlying the multiequalizer diagram. -/
 @[nolint unused_arguments]
 inductive WalkingMulticospan {L R : Type w} (fst snd : R → L) : Type w
   | left : L → walking_multicospan
   | right : R → walking_multicospan
 #align category_theory.limits.walking_multicospan CategoryTheory.Limits.WalkingMulticospan
+-/
 
+#print CategoryTheory.Limits.WalkingMultispan /-
 /-- The type underlying the multiecoqualizer diagram. -/
 @[nolint unused_arguments]
 inductive WalkingMultispan {L R : Type w} (fst snd : L → R) : Type w
   | left : L → walking_multispan
   | right : R → walking_multispan
 #align category_theory.limits.walking_multispan CategoryTheory.Limits.WalkingMultispan
+-/
 
 namespace WalkingMulticospan
 
@@ -59,22 +63,26 @@ variable {L R : Type w} {fst snd : R → L}
 instance [Inhabited L] : Inhabited (WalkingMulticospan fst snd) :=
   ⟨left default⟩
 
+#print CategoryTheory.Limits.WalkingMulticospan.Hom /-
 /-- Morphisms for `walking_multicospan`. -/
 inductive Hom : ∀ a b : WalkingMulticospan fst snd, Type w
   | id (A) : hom A A
   | fst (b) : hom (left (fst b)) (right b)
   | snd (b) : hom (left (snd b)) (right b)
 #align category_theory.limits.walking_multicospan.hom CategoryTheory.Limits.WalkingMulticospan.Hom
+-/
 
 instance {a : WalkingMulticospan fst snd} : Inhabited (Hom a a) :=
   ⟨Hom.id _⟩
 
+#print CategoryTheory.Limits.WalkingMulticospan.Hom.comp /-
 /-- Composition of morphisms for `walking_multicospan`. -/
 def Hom.comp : ∀ {A B C : WalkingMulticospan fst snd} (f : Hom A B) (g : Hom B C), Hom A C
   | _, _, _, hom.id X, f => f
   | _, _, _, hom.fst b, hom.id X => Hom.fst b
   | _, _, _, hom.snd b, hom.id X => Hom.snd b
 #align category_theory.limits.walking_multicospan.hom.comp CategoryTheory.Limits.WalkingMulticospan.Hom.comp
+-/
 
 instance : SmallCategory (WalkingMulticospan fst snd)
     where
@@ -100,22 +108,26 @@ variable {L R : Type v} {fst snd : L → R}
 instance [Inhabited L] : Inhabited (WalkingMultispan fst snd) :=
   ⟨left default⟩
 
+#print CategoryTheory.Limits.WalkingMultispan.Hom /-
 /-- Morphisms for `walking_multispan`. -/
 inductive Hom : ∀ a b : WalkingMultispan fst snd, Type v
   | id (A) : hom A A
   | fst (a) : hom (left a) (right (fst a))
   | snd (a) : hom (left a) (right (snd a))
 #align category_theory.limits.walking_multispan.hom CategoryTheory.Limits.WalkingMultispan.Hom
+-/
 
 instance {a : WalkingMultispan fst snd} : Inhabited (Hom a a) :=
   ⟨Hom.id _⟩
 
+#print CategoryTheory.Limits.WalkingMultispan.Hom.comp /-
 /-- Composition of morphisms for `walking_multispan`. -/
 def Hom.comp : ∀ {A B C : WalkingMultispan fst snd} (f : Hom A B) (g : Hom B C), Hom A C
   | _, _, _, hom.id X, f => f
   | _, _, _, hom.fst a, hom.id X => Hom.fst a
   | _, _, _, hom.snd a, hom.id X => Hom.snd a
 #align category_theory.limits.walking_multispan.hom.comp CategoryTheory.Limits.WalkingMultispan.Hom.comp
+-/
 
 instance : SmallCategory (WalkingMultispan fst snd)
     where
@@ -134,6 +146,7 @@ instance : SmallCategory (WalkingMultispan fst snd)
 
 end WalkingMultispan
 
+#print CategoryTheory.Limits.MulticospanIndex /-
 /-- This is a structure encapsulating the data necessary to define a `multicospan`. -/
 @[nolint has_nonempty_instance]
 structure MulticospanIndex (C : Type u) [Category.{v} C] where
@@ -144,7 +157,9 @@ structure MulticospanIndex (C : Type u) [Category.{v} C] where
   fst : ∀ b, left (fst_to b) ⟶ right b
   snd : ∀ b, left (snd_to b) ⟶ right b
 #align category_theory.limits.multicospan_index CategoryTheory.Limits.MulticospanIndex
+-/
 
+#print CategoryTheory.Limits.MultispanIndex /-
 /-- This is a structure encapsulating the data necessary to define a `multispan`. -/
 @[nolint has_nonempty_instance]
 structure MultispanIndex (C : Type u) [Category.{v} C] where
@@ -155,11 +170,13 @@ structure MultispanIndex (C : Type u) [Category.{v} C] where
   fst : ∀ a, left a ⟶ right (fst_from a)
   snd : ∀ a, left a ⟶ right (snd_from a)
 #align category_theory.limits.multispan_index CategoryTheory.Limits.MultispanIndex
+-/
 
 namespace MulticospanIndex
 
 variable {C : Type u} [Category.{v} C] (I : MulticospanIndex C)
 
+#print CategoryTheory.Limits.MulticospanIndex.multicospan /-
 /-- The multicospan associated to `I : multicospan_index`. -/
 def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C
     where
@@ -179,22 +196,47 @@ def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C
     rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _)
     tidy
 #align category_theory.limits.multicospan_index.multicospan CategoryTheory.Limits.MulticospanIndex.multicospan
+-/
 
+/- warning: category_theory.limits.multicospan_index.multicospan_obj_left -> CategoryTheory.Limits.MulticospanIndex.multicospan_obj_left is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) (a : CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I), Eq.{succ u2} C (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.left.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) a)) (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I a)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) (a : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.left.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) a)) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I a)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_obj_left CategoryTheory.Limits.MulticospanIndex.multicospan_obj_leftₓ'. -/
 @[simp]
 theorem multicospan_obj_left (a) : I.multicospan.obj (WalkingMulticospan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_left CategoryTheory.Limits.MulticospanIndex.multicospan_obj_left
 
+/- warning: category_theory.limits.multicospan_index.multicospan_obj_right -> CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) (b : CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u2} C (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.right.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I b)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.right.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_obj_right CategoryTheory.Limits.MulticospanIndex.multicospan_obj_rightₓ'. -/
 @[simp]
 theorem multicospan_obj_right (b) : I.multicospan.obj (WalkingMulticospan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_obj_right CategoryTheory.Limits.MulticospanIndex.multicospan_obj_right
 
+/- warning: category_theory.limits.multicospan_index.multicospan_map_fst -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) (b : CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.left.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I b))) (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.right.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b))) (CategoryTheory.Functor.map.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.left.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.Limits.WalkingMulticospan.right.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b) (CategoryTheory.Limits.WalkingMulticospan.Hom.fst.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u3, u1, u2} C _inst_1 I b)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C 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(CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b))) (Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} 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(CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.left.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.WalkingMulticospan.right.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b) (CategoryTheory.Limits.WalkingMulticospan.Hom.fst.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.fst.{u1, u2, u3} C _inst_1 I b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fstₓ'. -/
 @[simp]
 theorem multicospan_map_fst (b) : I.multicospan.map (WalkingMulticospan.Hom.fst b) = I.fst b :=
   rfl
 #align category_theory.limits.multicospan_index.multicospan_map_fst CategoryTheory.Limits.MulticospanIndex.multicospan_map_fst
 
+/- warning: category_theory.limits.multicospan_index.multicospan_map_snd -> CategoryTheory.Limits.MulticospanIndex.multicospan_map_snd is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) (b : CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.left.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I b))) (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.right.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b))) (CategoryTheory.Functor.map.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMulticospan.left.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.Limits.WalkingMulticospan.right.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b) (CategoryTheory.Limits.WalkingMulticospan.Hom.snd.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u3, u1, u2} C _inst_1 I b)
+but is expected to have type
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b)) (CategoryTheory.Limits.WalkingMulticospan.right.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b) (CategoryTheory.Limits.WalkingMulticospan.Hom.snd.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I) b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multicospan_map_snd CategoryTheory.Limits.MulticospanIndex.multicospan_map_sndₓ'. -/
 @[simp]
 theorem multicospan_map_snd (b) : I.multicospan.map (WalkingMulticospan.Hom.snd b) = I.snd b :=
   rfl
@@ -202,26 +244,43 @@ theorem multicospan_map_snd (b) : I.multicospan.map (WalkingMulticospan.Hom.snd
 
 variable [HasProduct I.left] [HasProduct I.right]
 
+#print CategoryTheory.Limits.MulticospanIndex.fstPiMap /-
 /-- The induced map `∏ I.left ⟶ ∏ I.right` via `I.fst`. -/
 noncomputable def fstPiMap : ∏ I.left ⟶ ∏ I.right :=
   Pi.lift fun b => Pi.π I.left (I.fstTo b) ≫ I.fst b
 #align category_theory.limits.multicospan_index.fst_pi_map CategoryTheory.Limits.MulticospanIndex.fstPiMap
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.sndPiMap /-
 /-- The induced map `∏ I.left ⟶ ∏ I.right` via `I.snd`. -/
 noncomputable def sndPiMap : ∏ I.left ⟶ ∏ I.right :=
   Pi.lift fun b => Pi.π I.left (I.sndTo b) ≫ I.snd b
 #align category_theory.limits.multicospan_index.snd_pi_map CategoryTheory.Limits.MulticospanIndex.sndPiMap
+-/
 
+/- warning: category_theory.limits.multicospan_index.fst_pi_map_π -> CategoryTheory.Limits.MulticospanIndex.fstPiMap_π 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.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_πₓ'. -/
 @[simp, reassoc.1]
 theorem fstPiMap_π (b) : I.fstPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.fst b := by
   simp [fst_pi_map]
 #align category_theory.limits.multicospan_index.fst_pi_map_π CategoryTheory.Limits.MulticospanIndex.fstPiMap_π
 
+/- warning: category_theory.limits.multicospan_index.snd_pi_map_π -> CategoryTheory.Limits.MulticospanIndex.sndPiMap_π is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I)] (b : CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3 b)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.Pi.π.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2 (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u3, u1, u2} C _inst_1 I b))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 b)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.MulticospanIndex.snd.{u1, u2, u3} C _inst_1 I b))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.snd_pi_map_π CategoryTheory.Limits.MulticospanIndex.sndPiMap_πₓ'. -/
 @[simp, reassoc.1]
 theorem sndPiMap_π (b) : I.sndPiMap ≫ Pi.π I.right b = Pi.π I.left _ ≫ I.snd b := by
   simp [snd_pi_map]
 #align category_theory.limits.multicospan_index.snd_pi_map_π CategoryTheory.Limits.MulticospanIndex.sndPiMap_π
 
+#print CategoryTheory.Limits.MulticospanIndex.parallelPairDiagram /-
 /-- Taking the multiequalizer over the multicospan index is equivalent to taking the equalizer over
 the two morphsims `∏ I.left ⇉ ∏ I.right`. This is the diagram of the latter.
 -/
@@ -229,6 +288,7 @@ the two morphsims `∏ I.left ⇉ ∏ I.right`. This is the diagram of the latte
 protected noncomputable def parallelPairDiagram :=
   parallelPair I.fstPiMap I.sndPiMap
 #align category_theory.limits.multicospan_index.parallel_pair_diagram CategoryTheory.Limits.MulticospanIndex.parallelPairDiagram
+-/
 
 end MulticospanIndex
 
@@ -236,6 +296,7 @@ namespace MultispanIndex
 
 variable {C : Type u} [Category.{v} C] (I : MultispanIndex C)
 
+#print CategoryTheory.Limits.MultispanIndex.multispan /-
 /-- The multispan associated to `I : multispan_index`. -/
 def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C
     where
@@ -255,22 +316,47 @@ def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C
     rintro (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _)
     tidy
 #align category_theory.limits.multispan_index.multispan CategoryTheory.Limits.MultispanIndex.multispan
+-/
 
+/- warning: category_theory.limits.multispan_index.multispan_obj_left -> CategoryTheory.Limits.MultispanIndex.multispan_obj_left is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) (a : CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I), Eq.{succ u2} C (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMultispan.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMultispan.left.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I) a)) (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I a)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I) a)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.multispan_obj_left CategoryTheory.Limits.MultispanIndex.multispan_obj_leftₓ'. -/
 @[simp]
 theorem multispan_obj_left (a) : I.multispan.obj (WalkingMultispan.left a) = I.left a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_left CategoryTheory.Limits.MultispanIndex.multispan_obj_left
 
+/- warning: category_theory.limits.multispan_index.multispan_obj_right -> CategoryTheory.Limits.MultispanIndex.multispan_obj_right is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) (b : CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u2} C (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMultispan.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.WalkingMultispan.right.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I) b)) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I) b)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.multispan_obj_right CategoryTheory.Limits.MultispanIndex.multispan_obj_rightₓ'. -/
 @[simp]
 theorem multispan_obj_right (b) : I.multispan.obj (WalkingMultispan.right b) = I.right b :=
   rfl
 #align category_theory.limits.multispan_index.multispan_obj_right CategoryTheory.Limits.MultispanIndex.multispan_obj_right
 
+/- warning: category_theory.limits.multispan_index.multispan_map_fst -> CategoryTheory.Limits.MultispanIndex.multispan_map_fst 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.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fstₓ'. -/
 @[simp]
 theorem multispan_map_fst (a) : I.multispan.map (WalkingMultispan.Hom.fst a) = I.fst a :=
   rfl
 #align category_theory.limits.multispan_index.multispan_map_fst CategoryTheory.Limits.MultispanIndex.multispan_map_fst
 
+/- warning: category_theory.limits.multispan_index.multispan_map_snd -> CategoryTheory.Limits.MultispanIndex.multispan_map_snd 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.multispan_index.multispan_map_snd CategoryTheory.Limits.MultispanIndex.multispan_map_sndₓ'. -/
 @[simp]
 theorem multispan_map_snd (a) : I.multispan.map (WalkingMultispan.Hom.snd a) = I.snd a :=
   rfl
@@ -278,26 +364,43 @@ theorem multispan_map_snd (a) : I.multispan.map (WalkingMultispan.Hom.snd a) = I
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
+#print CategoryTheory.Limits.MultispanIndex.fstSigmaMap /-
 /-- The induced map `∐ I.left ⟶ ∐ I.right` via `I.fst`. -/
 noncomputable def fstSigmaMap : ∐ I.left ⟶ ∐ I.right :=
   Sigma.desc fun b => I.fst b ≫ Sigma.ι _ (I.fstFrom b)
 #align category_theory.limits.multispan_index.fst_sigma_map CategoryTheory.Limits.MultispanIndex.fstSigmaMap
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.sndSigmaMap /-
 /-- The induced map `∐ I.left ⟶ ∐ I.right` via `I.snd`. -/
 noncomputable def sndSigmaMap : ∐ I.left ⟶ ∐ I.right :=
   Sigma.desc fun b => I.snd b ≫ Sigma.ι _ (I.sndFrom b)
 #align category_theory.limits.multispan_index.snd_sigma_map CategoryTheory.Limits.MultispanIndex.sndSigmaMap
+-/
 
+/- warning: category_theory.limits.multispan_index.ι_fst_sigma_map -> CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap 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.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMapₓ'. -/
 @[simp, reassoc.1]
 theorem ι_fstSigmaMap (b) : Sigma.ι I.left b ≫ I.fstSigmaMap = I.fst b ≫ Sigma.ι I.right _ := by
   simp [fst_sigma_map]
 #align category_theory.limits.multispan_index.ι_fst_sigma_map CategoryTheory.Limits.MultispanIndex.ι_fstSigmaMap
 
+/- warning: category_theory.limits.multispan_index.ι_snd_sigma_map -> CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMap is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Sigma.ι.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2 b) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I b)) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.snd.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.Sigma.ι.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3 (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I b)))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2 b) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I b)) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I b)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMapₓ'. -/
 @[simp, reassoc.1]
 theorem ι_sndSigmaMap (b) : Sigma.ι I.left b ≫ I.sndSigmaMap = I.snd b ≫ Sigma.ι I.right _ := by
   simp [snd_sigma_map]
 #align category_theory.limits.multispan_index.ι_snd_sigma_map CategoryTheory.Limits.MultispanIndex.ι_sndSigmaMap
 
+#print CategoryTheory.Limits.MultispanIndex.parallelPairDiagram /-
 /--
 Taking the multicoequalizer over the multispan index is equivalent to taking the coequalizer over
 the two morphsims `∐ I.left ⇉ ∐ I.right`. This is the diagram of the latter.
@@ -305,37 +408,56 @@ the two morphsims `∐ I.left ⇉ ∐ I.right`. This is the diagram of the latte
 protected noncomputable abbrev parallelPairDiagram :=
   parallelPair I.fstSigmaMap I.sndSigmaMap
 #align category_theory.limits.multispan_index.parallel_pair_diagram CategoryTheory.Limits.MultispanIndex.parallelPairDiagram
+-/
 
 end MultispanIndex
 
 variable {C : Type u} [Category.{v} C]
 
+#print CategoryTheory.Limits.Multifork /-
 /-- A multifork is a cone over a multicospan. -/
 @[nolint has_nonempty_instance]
 abbrev Multifork (I : MulticospanIndex C) :=
   Cone I.multicospan
 #align category_theory.limits.multifork CategoryTheory.Limits.Multifork
+-/
 
+#print CategoryTheory.Limits.Multicofork /-
 /-- A multicofork is a cocone over a multispan. -/
 @[nolint has_nonempty_instance]
 abbrev Multicofork (I : MultispanIndex C) :=
   Cocone I.multispan
 #align category_theory.limits.multicofork CategoryTheory.Limits.Multicofork
+-/
 
 namespace Multifork
 
 variable {I : MulticospanIndex C} (K : Multifork I)
 
+#print CategoryTheory.Limits.Multifork.ι /-
 /-- The maps from the cone point of a multifork to the objects on the left. -/
 def ι (a : I.L) : K.pt ⟶ I.left a :=
   K.π.app (WalkingMulticospan.left _)
 #align category_theory.limits.multifork.ι CategoryTheory.Limits.Multifork.ι
+-/
 
+/- warning: category_theory.limits.multifork.app_left_eq_ι -> CategoryTheory.Limits.Multifork.app_left_eq_ι 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.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ιₓ'. -/
 @[simp]
 theorem app_left_eq_ι (a) : K.π.app (WalkingMulticospan.left a) = K.ι a :=
   rfl
 #align category_theory.limits.multifork.app_left_eq_ι CategoryTheory.Limits.Multifork.app_left_eq_ι
 
+/- warning: category_theory.limits.multifork.app_right_eq_ι_comp_fst -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst is a dubious translation:
+lean 3 declaration is
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_inst_1 I b))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (b : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fstₓ'. -/
 @[simp]
 theorem app_right_eq_ι_comp_fst (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.fstTo b) ≫ I.fst b :=
@@ -344,6 +466,12 @@ theorem app_right_eq_ι_comp_fst (b) :
   rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_fst CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_fst
 
+/- warning: category_theory.limits.multifork.app_right_eq_ι_comp_snd -> CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd is a dubious translation:
+lean 3 declaration is
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_inst_1 I b))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_sndₓ'. -/
 @[reassoc.1]
 theorem app_right_eq_ι_comp_snd (b) :
     K.π.app (WalkingMulticospan.right b) = K.ι (I.sndTo b) ≫ I.snd b :=
@@ -352,11 +480,18 @@ theorem app_right_eq_ι_comp_snd (b) :
   rfl
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
 
+/- warning: category_theory.limits.multifork.hom_comp_ι -> CategoryTheory.Limits.Multifork.hom_comp_ι is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K₁ : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (K₂ : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (f : Quiver.Hom.{succ u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.CategoryStruct.toQuiver.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.Category.toCategoryStruct.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) (CategoryTheory.Limits.Cone.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ιₓ'. -/
 @[simp, reassoc.1]
 theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
   f.w (WalkingMulticospan.left j)
 #align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ι
 
+#print CategoryTheory.Limits.Multifork.ofι /-
 /-- Construct a multifork using a collection `ι` of morphisms. -/
 @[simps]
 def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
@@ -378,12 +513,20 @@ def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
           rw [category.id_comp]
           apply w }
 #align category_theory.limits.multifork.of_ι CategoryTheory.Limits.Multifork.ofι
+-/
 
+/- warning: category_theory.limits.multifork.condition -> CategoryTheory.Limits.Multifork.condition 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.multifork.condition CategoryTheory.Limits.Multifork.conditionₓ'. -/
 @[simp, reassoc.1]
 theorem condition (b) : K.ι (I.fstTo b) ≫ I.fst b = K.ι (I.sndTo b) ≫ I.snd b := by
   rw [← app_right_eq_ι_comp_fst, ← app_right_eq_ι_comp_snd]
 #align category_theory.limits.multifork.condition CategoryTheory.Limits.Multifork.condition
 
+#print CategoryTheory.Limits.Multifork.IsLimit.mk /-
 /-- This definition provides a convenient way to show that a multifork is a limit. -/
 @[simps]
 def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
@@ -404,9 +547,16 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
       intro i
       apply hm }
 #align category_theory.limits.multifork.is_limit.mk CategoryTheory.Limits.Multifork.IsLimit.mk
+-/
 
 variable [HasProduct I.left] [HasProduct I.right]
 
+/- warning: category_theory.limits.multifork.pi_condition -> CategoryTheory.Limits.Multifork.pi_condition 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.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc.1]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap :=
@@ -417,6 +567,7 @@ theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap
   simp
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
 
+#print CategoryTheory.Limits.Multifork.toPiFork /-
 /-- Given a multifork, we may obtain a fork over `∏ I.left ⇉ ∏ I.right`. -/
 @[simps pt]
 noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
@@ -432,12 +583,25 @@ noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
         any_goals symm; dsimp; rw [category.id_comp]; apply category.comp_id
         all_goals change 𝟙 _ ≫ _ ≫ _ = pi.lift _ ≫ _; simp }
 #align category_theory.limits.multifork.to_pi_fork CategoryTheory.Limits.Multifork.toPiFork
+-/
 
+/- warning: category_theory.limits.multifork.to_pi_fork_π_app_zero -> CategoryTheory.Limits.Multifork.toPiFork_π_app_zero is a dubious translation:
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CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3))) CategoryTheory.Limits.WalkingParallelPair.zero)) (CategoryTheory.Limits.Fork.ι.{u2, u3} C _inst_1 (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Multifork.toPiFork.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 K)) (CategoryTheory.Limits.Pi.lift.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I b) _inst_2 (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multifork.ι.{u2, u3, u1} C _inst_1 I K))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zeroₓ'. -/
 @[simp]
 theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
 
+/- warning: category_theory.limits.multifork.to_pi_fork_π_app_one -> CategoryTheory.Limits.Multifork.toPiFork_π_app_one is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u1, u2, u3} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I)], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Functor.obj.{u1, u1, u2, max u1 u2} C _inst_1 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_inst_3)) (CategoryTheory.Limits.Multifork.toPiFork.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3 K))) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I b) _inst_2) (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.Pi.lift.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (fun (b : CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) => CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I b) _inst_2 (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Functor.obj.{u1, u1, u2, max u1 u2} C _inst_1 (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.Limits.Multifork.toPiFork.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3 K))) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.Multifork.ι.{u1, u2, u3} C _inst_1 I K)) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multifork.{u2, u3, u1} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)], Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{1, succ u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} 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CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u3, max u3 u2} C _inst_1 (CategoryTheory.Functor.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cone.pt.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.Limits.Multifork.toPiFork.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 K)))) CategoryTheory.Limits.WalkingParallelPair.one) (Prefunctor.obj.{1, succ u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.to_pi_fork_π_app_one CategoryTheory.Limits.Multifork.toPiFork_π_app_oneₓ'. -/
 @[simp]
 theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lift K.ι ≫ I.fstPiMap :=
   rfl
@@ -445,6 +609,7 @@ theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lif
 
 variable (I)
 
+#print CategoryTheory.Limits.Multifork.ofPiFork /-
 /-- Given a fork over `∏ I.left ⇉ ∏ I.right`, we may obtain a multifork. -/
 @[simps pt]
 noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
@@ -464,13 +629,26 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
           rw [c.condition_assoc]
           simp }
 #align category_theory.limits.multifork.of_pi_fork CategoryTheory.Limits.Multifork.ofPiFork
+-/
 
+/- warning: category_theory.limits.multifork.of_pi_fork_π_app_left -> CategoryTheory.Limits.Multifork.ofPiFork_π_app_left 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.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_leftₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).ι a = c.ι ≫ Pi.π _ _ :=
   rfl
 #align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_left
 
+/- warning: category_theory.limits.multifork.of_pi_fork_π_app_right -> CategoryTheory.Limits.Multifork.ofPiFork_π_app_right is a dubious translation:
+lean 3 declaration is
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_inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) CategoryTheory.Limits.WalkingParallelPair.zero) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Functor.obj.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) 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_inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3 a)))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MulticospanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I)] (c : CategoryTheory.Limits.Fork.{u2, u3} C _inst_1 (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (a : CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) 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(CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u1} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) 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CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u3, max u3 u2} C _inst_1 (CategoryTheory.Functor.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cone.pt.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 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C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3))) CategoryTheory.Limits.WalkingParallelPair.zero) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I a) 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_inst_3))) CategoryTheory.Limits.WalkingParallelPair.zero) (CategoryTheory.Limits.piObj.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Pi.π.{u1, u2, u3} (CategoryTheory.Limits.MulticospanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 a)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multifork.of_pi_fork_π_app_right CategoryTheory.Limits.Multifork.ofPiFork_π_app_rightₓ'. -/
 @[simp]
 theorem ofPiFork_π_app_right (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).π.app (WalkingMulticospan.right a) = c.ι ≫ I.fstPiMap ≫ Pi.π _ _ :=
@@ -485,6 +663,7 @@ variable (I : MulticospanIndex C) [HasProduct I.left] [HasProduct I.right]
 
 attribute [local tidy] tactic.case_bash
 
+#print CategoryTheory.Limits.MulticospanIndex.toPiForkFunctor /-
 /-- `multifork.to_pi_fork` is functorial. -/
 @[simps]
 noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap
@@ -502,7 +681,9 @@ noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap
           dsimp [snd_pi_map]
           simp }
 #align category_theory.limits.multicospan_index.to_pi_fork_functor CategoryTheory.Limits.MulticospanIndex.toPiForkFunctor
+-/
 
+#print CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctor /-
 /-- `multifork.of_pi_fork` is functorial. -/
 @[simps]
 noncomputable def ofPiForkFunctor : Fork I.fstPiMap I.sndPiMap ⥤ Multifork I
@@ -512,7 +693,14 @@ noncomputable def ofPiForkFunctor : Fork I.fstPiMap I.sndPiMap ⥤ Multifork I
     { Hom := f.Hom
       w' := by rintro (_ | _) <;> simp }
 #align category_theory.limits.multicospan_index.of_pi_fork_functor CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctor
+-/
 
+/- warning: category_theory.limits.multicospan_index.multifork_equiv_pi_fork -> CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I)], CategoryTheory.Equivalence.{u1, u1, max u3 u2 u1, max u2 u1} (CategoryTheory.Limits.Multifork.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.Cone.category.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.Fork.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.Limits.Cone.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MulticospanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasProduct.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I)], CategoryTheory.Equivalence.{u1, u1, max (max u3 u2) u1, max u2 u1} (CategoryTheory.Limits.Multifork.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.Fork.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)) (CategoryTheory.Limits.Cone.category.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMulticospan.instSmallCategoryWalkingMulticospan.{u3} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.fstTo.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MulticospanIndex.sndTo.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.multicospan.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.Cone.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.piObj.{u3, u1, u2} (CategoryTheory.Limits.MulticospanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MulticospanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MulticospanIndex.fstPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MulticospanIndex.sndPiMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiForkₓ'. -/
 /-- The category of multiforks is equivalent to the category of forks over `∏ I.left ⇉ ∏ I.right`.
 It then follows from `category_theory.is_limit_of_preserves_cone_terminal` (or `reflects`) that it
 preserves and reflects limit cones.
@@ -551,16 +739,30 @@ namespace Multicofork
 
 variable {I : MultispanIndex C} (K : Multicofork I)
 
+#print CategoryTheory.Limits.Multicofork.π /-
 /-- The maps to the cocone point of a multicofork from the objects on the right. -/
 def π (b : I.R) : I.right b ⟶ K.pt :=
   K.ι.app (WalkingMultispan.right _)
 #align category_theory.limits.multicofork.π CategoryTheory.Limits.Multicofork.π
+-/
 
+/- warning: category_theory.limits.multicofork.π_eq_app_right -> CategoryTheory.Limits.Multicofork.π_eq_app_right 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.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_rightₓ'. -/
 @[simp]
 theorem π_eq_app_right (b) : K.ι.app (WalkingMultispan.right _) = K.π b :=
   rfl
 #align category_theory.limits.multicofork.π_eq_app_right CategoryTheory.Limits.Multicofork.π_eq_app_right
 
+/- warning: category_theory.limits.multicofork.fst_app_right -> CategoryTheory.Limits.Multicofork.fst_app_right is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_rightₓ'. -/
 @[simp]
 theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.π _ :=
   by
@@ -568,6 +770,12 @@ theorem fst_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.fst a ≫ K.
   rfl
 #align category_theory.limits.multicofork.fst_app_right CategoryTheory.Limits.Multicofork.fst_app_right
 
+/- warning: category_theory.limits.multicofork.snd_app_right -> CategoryTheory.Limits.Multicofork.snd_app_right 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.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_rightₓ'. -/
 @[reassoc.1]
 theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.π _ :=
   by
@@ -575,6 +783,7 @@ theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.
   rfl
 #align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_right
 
+#print CategoryTheory.Limits.Multicofork.ofπ /-
 /-- Construct a multicofork using a collection `π` of morphisms. -/
 @[simps]
 def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
@@ -596,12 +805,20 @@ def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
           rw [category.comp_id]
           apply (w _).symm }
 #align category_theory.limits.multicofork.of_π CategoryTheory.Limits.Multicofork.ofπ
+-/
 
+/- warning: category_theory.limits.multicofork.condition -> CategoryTheory.Limits.Multicofork.condition is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.conditionₓ'. -/
 @[simp, reassoc.1]
 theorem condition (a) : I.fst a ≫ K.π (I.fstFrom a) = I.snd a ≫ K.π (I.sndFrom a) := by
   rw [← K.snd_app_right, ← K.fst_app_right]
 #align category_theory.limits.multicofork.condition CategoryTheory.Limits.Multicofork.condition
 
+#print CategoryTheory.Limits.Multicofork.IsColimit.mk /-
 /-- This definition provides a convenient way to show that a multicofork is a colimit. -/
 @[simps]
 def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
@@ -622,9 +839,16 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
       intro i
       apply hm }
 #align category_theory.limits.multicofork.is_colimit.mk CategoryTheory.Limits.Multicofork.IsColimit.mk
+-/
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
+/- warning: category_theory.limits.multicofork.sigma_condition -> CategoryTheory.Limits.Multicofork.sigma_condition is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u1, u2, u3} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I)], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) 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(CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Cocone.pt.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMultispan.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u3} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMultispan.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) 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(CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u3} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u3, u1, u3, u2} (CategoryTheory.Limits.WalkingMultispan.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u3} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u3, u1, u2} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u3, u1, u2} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u3} C _inst_1 I) K) (CategoryTheory.Limits.Multicofork.π.{u1, u2, u3} C _inst_1 I K)))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u2, u3, u1} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)], Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) 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(CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) 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(CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Sigma.desc.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3 (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) C _inst_1 (CategoryTheory.Limits.MultispanIndex.multispan.{u2, u3, u1} C _inst_1 I) K) (CategoryTheory.Limits.Multicofork.π.{u2, u3, u1} C _inst_1 I K)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_conditionₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc.1]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π :=
@@ -635,6 +859,7 @@ theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫
   simp
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition
 
+#print CategoryTheory.Limits.Multicofork.toSigmaCofork /-
 /-- Given a multicofork, we may obtain a cofork over `∐ I.left ⇉ ∐ I.right`. -/
 @[simps pt]
 noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.sndSigmaMap
@@ -650,7 +875,14 @@ noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.snd
         any_goals dsimp; rw [category.comp_id]; apply category.id_comp
         all_goals change _ ≫ sigma.desc _ = (_ ≫ _) ≫ 𝟙 _; simp }
 #align category_theory.limits.multicofork.to_sigma_cofork CategoryTheory.Limits.Multicofork.toSigmaCofork
+-/
 
+/- warning: category_theory.limits.multicofork.to_sigma_cofork_π -> CategoryTheory.Limits.Multicofork.toSigmaCofork_π is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u1, u2, u3} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I)], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1} (K : CategoryTheory.Limits.Multicofork.{u2, u3, u1} C _inst_1 I) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)], Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{1, succ u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u3} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.to_sigma_cofork_π CategoryTheory.Limits.Multicofork.toSigmaCofork_πₓ'. -/
 @[simp]
 theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
   rfl
@@ -658,6 +890,7 @@ theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
 
 variable (I)
 
+#print CategoryTheory.Limits.Multicofork.ofSigmaCofork /-
 /-- Given a cofork over `∐ I.left ⇉ ∐ I.right`, we may obtain a multicofork. -/
 @[simps pt]
 noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multicofork I
@@ -679,7 +912,14 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
           rw [c.condition]
           simp }
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork
+-/
 
+/- warning: category_theory.limits.multicofork.of_sigma_cofork_ι_app_left -> CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left is a dubious translation:
+lean 3 declaration is
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u2} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3) c)))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (c : CategoryTheory.Limits.Cofork.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C 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(CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.Cofork.π.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) c)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_leftₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.left a) =
@@ -687,6 +927,12 @@ theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
   rfl
 #align category_theory.limits.multicofork.of_sigma_cofork_ι_app_left CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_left
 
+/- warning: category_theory.limits.multicofork.of_sigma_cofork_ι_app_right -> CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_right is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (c : CategoryTheory.Limits.Cofork.{u2, u3} C _inst_1 (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I) _inst_2) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_3) (CategoryTheory.Limits.MultispanIndex.fstSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3) (CategoryTheory.Limits.MultispanIndex.sndSigmaMap.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3)) (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicofork.of_sigma_cofork_ι_app_right CategoryTheory.Limits.Multicofork.ofSigmaCofork_ι_app_rightₓ'. -/
 @[simp]
 theorem ofSigmaCofork_ι_app_right (c : Cofork I.fstSigmaMap I.sndSigmaMap) (b) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.right b) = (Sigma.ι I.right b : _) ≫ c.π :=
@@ -701,6 +947,7 @@ variable (I : MultispanIndex C) [HasCoproduct I.left] [HasCoproduct I.right]
 
 attribute [local tidy] tactic.case_bash
 
+#print CategoryTheory.Limits.MultispanIndex.toSigmaCoforkFunctor /-
 /-- `multicofork.to_sigma_cofork` is functorial. -/
 @[simps]
 noncomputable def toSigmaCoforkFunctor : Multicofork I ⥤ Cofork I.fstSigmaMap I.sndSigmaMap
@@ -708,7 +955,9 @@ noncomputable def toSigmaCoforkFunctor : Multicofork I ⥤ Cofork I.fstSigmaMap
   obj := Multicofork.toSigmaCofork
   map K₁ K₂ f := { Hom := f.Hom }
 #align category_theory.limits.multispan_index.to_sigma_cofork_functor CategoryTheory.Limits.MultispanIndex.toSigmaCoforkFunctor
+-/
 
+#print CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor /-
 /-- `multicofork.of_sigma_cofork` is functorial. -/
 @[simps]
 noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤ Multicofork I
@@ -718,7 +967,14 @@ noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤
     { Hom := f.Hom
       w' := by rintro (_ | _) <;> simp }
 #align category_theory.limits.multispan_index.of_sigma_cofork_functor CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor
+-/
 
+/- warning: category_theory.limits.multispan_index.multicofork_equiv_sigma_cofork -> CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork 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.multispan_index.multicofork_equiv_sigma_cofork CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCoforkₓ'. -/
 /--
 The category of multicoforks is equivalent to the category of coforks over `∐ I.left ⇉ ∐ I.right`.
 It then follows from `category_theory.is_colimit_of_preserves_cocone_initial` (or `reflects`) that
@@ -751,106 +1007,160 @@ noncomputable def multicoforkEquivSigmaCofork : Multicofork I ≌ Cofork I.fstSi
 
 end MultispanIndex
 
+#print CategoryTheory.Limits.HasMultiequalizer /-
 /-- For `I : multicospan_index C`, we say that it has a multiequalizer if the associated
   multicospan has a limit. -/
 abbrev HasMultiequalizer (I : MulticospanIndex C) :=
   HasLimit I.multicospan
 #align category_theory.limits.has_multiequalizer CategoryTheory.Limits.HasMultiequalizer
+-/
 
 noncomputable section
 
+#print CategoryTheory.Limits.multiequalizer /-
 /-- The multiequalizer of `I : multicospan_index C`. -/
 abbrev multiequalizer (I : MulticospanIndex C) [HasMultiequalizer I] : C :=
   limit I.multicospan
 #align category_theory.limits.multiequalizer CategoryTheory.Limits.multiequalizer
+-/
 
+#print CategoryTheory.Limits.HasMulticoequalizer /-
 /-- For `I : multispan_index C`, we say that it has a multicoequalizer if
   the associated multicospan has a limit. -/
 abbrev HasMulticoequalizer (I : MultispanIndex C) :=
   HasColimit I.multispan
 #align category_theory.limits.has_multicoequalizer CategoryTheory.Limits.HasMulticoequalizer
+-/
 
+#print CategoryTheory.Limits.multicoequalizer /-
 /-- The multiecoqualizer of `I : multispan_index C`. -/
 abbrev multicoequalizer (I : MultispanIndex C) [HasMulticoequalizer I] : C :=
   colimit I.multispan
 #align category_theory.limits.multicoequalizer CategoryTheory.Limits.multicoequalizer
+-/
 
 namespace Multiequalizer
 
 variable (I : MulticospanIndex C) [HasMultiequalizer I]
 
+#print CategoryTheory.Limits.Multiequalizer.ι /-
 /-- The canonical map from the multiequalizer to the objects on the left. -/
 abbrev ι (a : I.L) : multiequalizer I ⟶ I.left a :=
   limit.π _ (WalkingMulticospan.left a)
-#align category_theory.limits.multiequalizer.ι CategoryTheory.Limits.multiequalizer.ι
+#align category_theory.limits.multiequalizer.ι CategoryTheory.Limits.Multiequalizer.ι
+-/
 
+#print CategoryTheory.Limits.Multiequalizer.multifork /-
 /-- The multifork associated to the multiequalizer. -/
 abbrev multifork : Multifork I :=
   limit.cone _
-#align category_theory.limits.multiequalizer.multifork CategoryTheory.Limits.multiequalizer.multifork
+#align category_theory.limits.multiequalizer.multifork CategoryTheory.Limits.Multiequalizer.multifork
+-/
 
+/- warning: category_theory.limits.multiequalizer.multifork_ι -> CategoryTheory.Limits.Multiequalizer.multifork_ι 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.multiequalizer.multifork_ι CategoryTheory.Limits.Multiequalizer.multifork_ιₓ'. -/
 @[simp]
-theorem multifork_ι (a) : (multiequalizer.multifork I).ι a = multiequalizer.ι I a :=
+theorem multifork_ι (a) : (Multiequalizer.multifork I).ι a = Multiequalizer.ι I a :=
   rfl
-#align category_theory.limits.multiequalizer.multifork_ι CategoryTheory.Limits.multiequalizer.multifork_ι
-
+#align category_theory.limits.multiequalizer.multifork_ι CategoryTheory.Limits.Multiequalizer.multifork_ι
+
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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.multiequalizer.multifork_π_app_left CategoryTheory.Limits.Multiequalizer.multifork_π_app_leftₓ'. -/
 @[simp]
 theorem multifork_π_app_left (a) :
-    (multiequalizer.multifork I).π.app (WalkingMulticospan.left a) = multiequalizer.ι I a :=
+    (Multiequalizer.multifork I).π.app (WalkingMulticospan.left a) = Multiequalizer.ι I a :=
   rfl
-#align category_theory.limits.multiequalizer.multifork_π_app_left CategoryTheory.Limits.multiequalizer.multifork_π_app_left
-
+#align category_theory.limits.multiequalizer.multifork_π_app_left CategoryTheory.Limits.Multiequalizer.multifork_π_app_left
+
+/- warning: category_theory.limits.multiequalizer.condition -> CategoryTheory.Limits.Multiequalizer.condition 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.multiequalizer.condition CategoryTheory.Limits.Multiequalizer.conditionₓ'. -/
 @[reassoc.1]
 theorem condition (b) :
-    multiequalizer.ι I (I.fstTo b) ≫ I.fst b = multiequalizer.ι I (I.sndTo b) ≫ I.snd b :=
+    Multiequalizer.ι I (I.fstTo b) ≫ I.fst b = Multiequalizer.ι I (I.sndTo b) ≫ I.snd b :=
   Multifork.condition _ _
-#align category_theory.limits.multiequalizer.condition CategoryTheory.Limits.multiequalizer.condition
+#align category_theory.limits.multiequalizer.condition CategoryTheory.Limits.Multiequalizer.condition
 
+#print CategoryTheory.Limits.Multiequalizer.lift /-
 /-- Construct a morphism to the multiequalizer from its universal property. -/
 abbrev lift (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) : W ⟶ multiequalizer I :=
   limit.lift _ (Multifork.ofι I _ k h)
-#align category_theory.limits.multiequalizer.lift CategoryTheory.Limits.multiequalizer.lift
+#align category_theory.limits.multiequalizer.lift CategoryTheory.Limits.Multiequalizer.lift
+-/
 
+/- warning: category_theory.limits.multiequalizer.lift_ι -> CategoryTheory.Limits.Multiequalizer.lift_ι is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.Multiequalizer.lift_ιₓ'. -/
 @[simp, reassoc.1]
 theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) (a) :
-    multiequalizer.lift I _ k h ≫ multiequalizer.ι I a = k _ :=
+    Multiequalizer.lift I _ k h ≫ Multiequalizer.ι I a = k _ :=
   limit.lift_π _ _
-#align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.multiequalizer.lift_ι
-
+#align category_theory.limits.multiequalizer.lift_ι CategoryTheory.Limits.Multiequalizer.lift_ι
+
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multiequalizer.hom_ext CategoryTheory.Limits.Multiequalizer.hom_extₓ'. -/
 @[ext]
 theorem hom_ext {W : C} (i j : W ⟶ multiequalizer I)
-    (h : ∀ a, i ≫ multiequalizer.ι I a = j ≫ multiequalizer.ι I a) : i = j :=
+    (h : ∀ a, i ≫ Multiequalizer.ι I a = j ≫ Multiequalizer.ι I a) : i = j :=
   limit.hom_ext
     (by
       rintro (a | b)
       · apply h
       simp_rw [← limit.w I.multicospan (walking_multicospan.hom.fst b), ← category.assoc, h])
-#align category_theory.limits.multiequalizer.hom_ext CategoryTheory.Limits.multiequalizer.hom_ext
+#align category_theory.limits.multiequalizer.hom_ext CategoryTheory.Limits.Multiequalizer.hom_ext
 
 variable [HasProduct I.left] [HasProduct I.right]
 
 instance : HasEqualizer I.fstPiMap I.sndPiMap :=
   ⟨⟨⟨_, IsLimit.ofPreservesConeTerminal I.multiforkEquivPiFork.Functor (limit.isLimit _)⟩⟩⟩
 
+#print CategoryTheory.Limits.Multiequalizer.isoEqualizer /-
 /-- The multiequalizer is isomorphic to the equalizer of `∏ I.left ⇉ ∏ I.right`. -/
 def isoEqualizer : multiequalizer I ≅ equalizer I.fstPiMap I.sndPiMap :=
   limit.isoLimitCone
     ⟨_, IsLimit.ofPreservesConeTerminal I.multiforkEquivPiFork.inverse (limit.isLimit _)⟩
-#align category_theory.limits.multiequalizer.iso_equalizer CategoryTheory.Limits.multiequalizer.isoEqualizer
+#align category_theory.limits.multiequalizer.iso_equalizer CategoryTheory.Limits.Multiequalizer.isoEqualizer
+-/
 
+#print CategoryTheory.Limits.Multiequalizer.ιPi /-
 /-- The canonical injection `multiequalizer I ⟶ ∏ I.left`. -/
 def ιPi : multiequalizer I ⟶ ∏ I.left :=
   (isoEqualizer I).Hom ≫ equalizer.ι I.fstPiMap I.sndPiMap
-#align category_theory.limits.multiequalizer.ι_pi CategoryTheory.Limits.multiequalizer.ιPi
+#align category_theory.limits.multiequalizer.ι_pi CategoryTheory.Limits.Multiequalizer.ιPi
+-/
 
+/- warning: category_theory.limits.multiequalizer.ι_pi_π -> CategoryTheory.Limits.Multiequalizer.ιPi_π 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.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_πₓ'. -/
 @[simp, reassoc.1]
 theorem ιPi_π (a) : ιPi I ≫ Pi.π I.left a = ι I a :=
   by
   rw [ι_pi, category.assoc, ← iso.eq_inv_comp, iso_equalizer]
   simpa
-#align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.multiequalizer.ιPi_π
+#align category_theory.limits.multiequalizer.ι_pi_π CategoryTheory.Limits.Multiequalizer.ιPi_π
 
 instance : Mono (ιPi I) :=
   @mono_comp _ _ _ _ equalizer.ι_mono
@@ -861,55 +1171,91 @@ namespace Multicoequalizer
 
 variable (I : MultispanIndex C) [HasMulticoequalizer I]
 
+#print CategoryTheory.Limits.Multicoequalizer.π /-
 /-- The canonical map from the multiequalizer to the objects on the left. -/
 abbrev π (b : I.R) : I.right b ⟶ multicoequalizer I :=
   colimit.ι I.multispan (WalkingMultispan.right _)
-#align category_theory.limits.multicoequalizer.π CategoryTheory.Limits.multicoequalizer.π
+#align category_theory.limits.multicoequalizer.π CategoryTheory.Limits.Multicoequalizer.π
+-/
 
+#print CategoryTheory.Limits.Multicoequalizer.multicofork /-
 /-- The multicofork associated to the multicoequalizer. -/
 abbrev multicofork : Multicofork I :=
   colimit.cocone _
-#align category_theory.limits.multicoequalizer.multicofork CategoryTheory.Limits.multicoequalizer.multicofork
+#align category_theory.limits.multicoequalizer.multicofork CategoryTheory.Limits.Multicoequalizer.multicofork
+-/
 
+/- warning: category_theory.limits.multicoequalizer.multicofork_π -> CategoryTheory.Limits.Multicoequalizer.multicofork_π is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.Multicoequalizer.multicofork_πₓ'. -/
 @[simp]
-theorem multicofork_π (b) : (multicoequalizer.multicofork I).π b = multicoequalizer.π I b :=
+theorem multicofork_π (b) : (Multicoequalizer.multicofork I).π b = Multicoequalizer.π I b :=
   rfl
-#align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.multicoequalizer.multicofork_π
-
+#align category_theory.limits.multicoequalizer.multicofork_π CategoryTheory.Limits.Multicoequalizer.multicofork_π
+
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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.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_rightₓ'. -/
 @[simp]
 theorem multicofork_ι_app_right (b) :
-    (multicoequalizer.multicofork I).ι.app (WalkingMultispan.right b) = multicoequalizer.π I b :=
+    (Multicoequalizer.multicofork I).ι.app (WalkingMultispan.right b) = Multicoequalizer.π I b :=
   rfl
-#align category_theory.limits.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.multicoequalizer.multicofork_ι_app_right
-
+#align category_theory.limits.multicoequalizer.multicofork_ι_app_right CategoryTheory.Limits.Multicoequalizer.multicofork_ι_app_right
+
+/- warning: category_theory.limits.multicoequalizer.condition -> CategoryTheory.Limits.Multicoequalizer.condition 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.multicoequalizer.condition CategoryTheory.Limits.Multicoequalizer.conditionₓ'. -/
 @[reassoc.1]
 theorem condition (a) :
-    I.fst a ≫ multicoequalizer.π I (I.fstFrom a) = I.snd a ≫ multicoequalizer.π I (I.sndFrom a) :=
+    I.fst a ≫ Multicoequalizer.π I (I.fstFrom a) = I.snd a ≫ Multicoequalizer.π I (I.sndFrom a) :=
   Multicofork.condition _ _
-#align category_theory.limits.multicoequalizer.condition CategoryTheory.Limits.multicoequalizer.condition
+#align category_theory.limits.multicoequalizer.condition CategoryTheory.Limits.Multicoequalizer.condition
 
+#print CategoryTheory.Limits.Multicoequalizer.desc /-
 /-- Construct a morphism from the multicoequalizer from its universal property. -/
 abbrev desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) : multicoequalizer I ⟶ W :=
   colimit.desc _ (Multicofork.ofπ I _ k h)
-#align category_theory.limits.multicoequalizer.desc CategoryTheory.Limits.multicoequalizer.desc
+#align category_theory.limits.multicoequalizer.desc CategoryTheory.Limits.Multicoequalizer.desc
+-/
 
+/- warning: category_theory.limits.multicoequalizer.π_desc -> CategoryTheory.Limits.Multicoequalizer.π_desc is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] (W : C) (k : forall (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) W) (h : forall (a : CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) W) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a)) W (CategoryTheory.Limits.MultispanIndex.fst.{u1, u2, u3} C _inst_1 I a) (k (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u2, u3} C _inst_1 I a))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I a) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)) W (CategoryTheory.Limits.MultispanIndex.snd.{u1, u2, u3} C _inst_1 I a) (k (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u2, u3} C _inst_1 I a)))) (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) W) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b) (CategoryTheory.Limits.Multicoequalizer.desc.{u2, u3, u1} C _inst_1 I _inst_2 W k h)) (k b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.Multicoequalizer.π_descₓ'. -/
 @[simp, reassoc.1]
 theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) (b) :
-    multicoequalizer.π I b ≫ multicoequalizer.desc I _ k h = k _ :=
+    Multicoequalizer.π I b ≫ Multicoequalizer.desc I _ k h = k _ :=
   colimit.ι_desc _ _
-#align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.multicoequalizer.π_desc
-
+#align category_theory.limits.multicoequalizer.π_desc CategoryTheory.Limits.Multicoequalizer.π_desc
+
+/- warning: category_theory.limits.multicoequalizer.hom_ext -> CategoryTheory.Limits.Multicoequalizer.hom_ext is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u1, u2, u3} C _inst_1 I] {W : C} (i : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) W) (j : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) W), (forall (b : CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) W) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u1, u2, u3} C _inst_1 I _inst_2 b) i) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u1, u2, u3} C _inst_1 I _inst_2 b) j)) -> (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) W) i j)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] {W : C} (i : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W) (j : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W), (forall (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) W) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b) i) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b) j)) -> (Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) W) i j)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.hom_ext CategoryTheory.Limits.Multicoequalizer.hom_extₓ'. -/
 @[ext]
 theorem hom_ext {W : C} (i j : multicoequalizer I ⟶ W)
-    (h : ∀ b, multicoequalizer.π I b ≫ i = multicoequalizer.π I b ≫ j) : i = j :=
+    (h : ∀ b, Multicoequalizer.π I b ≫ i = Multicoequalizer.π I b ≫ j) : i = j :=
   colimit.hom_ext
     (by
       rintro (a | b)
       · simp_rw [← colimit.w I.multispan (walking_multispan.hom.fst a), category.assoc, h]
       · apply h)
-#align category_theory.limits.multicoequalizer.hom_ext CategoryTheory.Limits.multicoequalizer.hom_ext
+#align category_theory.limits.multicoequalizer.hom_ext CategoryTheory.Limits.Multicoequalizer.hom_ext
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
@@ -918,25 +1264,35 @@ instance : HasCoequalizer I.fstSigmaMap I.sndSigmaMap :=
         IsColimit.ofPreservesCoconeInitial I.multicoforkEquivSigmaCofork.Functor
           (colimit.isColimit _)⟩⟩⟩
 
+#print CategoryTheory.Limits.Multicoequalizer.isoCoequalizer /-
 /-- The multicoequalizer is isomorphic to the coequalizer of `∐ I.left ⇉ ∐ I.right`. -/
 def isoCoequalizer : multicoequalizer I ≅ coequalizer I.fstSigmaMap I.sndSigmaMap :=
   colimit.isoColimitCocone
     ⟨_,
       IsColimit.ofPreservesCoconeInitial I.multicoforkEquivSigmaCofork.inverse
         (colimit.isColimit _)⟩
-#align category_theory.limits.multicoequalizer.iso_coequalizer CategoryTheory.Limits.multicoequalizer.isoCoequalizer
+#align category_theory.limits.multicoequalizer.iso_coequalizer CategoryTheory.Limits.Multicoequalizer.isoCoequalizer
+-/
 
+#print CategoryTheory.Limits.Multicoequalizer.sigmaπ /-
 /-- The canonical projection `∐ I.right ⟶ multicoequalizer I`. -/
 def sigmaπ : ∐ I.right ⟶ multicoequalizer I :=
   coequalizer.π I.fstSigmaMap I.sndSigmaMap ≫ (isoCoequalizer I).inv
-#align category_theory.limits.multicoequalizer.sigma_π CategoryTheory.Limits.multicoequalizer.sigmaπ
+#align category_theory.limits.multicoequalizer.sigma_π CategoryTheory.Limits.Multicoequalizer.sigmaπ
+-/
 
+/- warning: category_theory.limits.multicoequalizer.ι_sigma_π -> CategoryTheory.Limits.Multicoequalizer.ι_sigmaπ is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] (I : CategoryTheory.Limits.MultispanIndex.{u3, u1, u2} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u1, u2, u3} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.L.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u3, u1, u2} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u1, u2, u3} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u3, u1, u2} (CategoryTheory.Limits.MultispanIndex.R.{u3, u1, u2} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u3, u1, u2} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u1, u2, u3} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u1, u2, u3} C _inst_1 I _inst_2 b)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (I : CategoryTheory.Limits.MultispanIndex.{u1, u2, u3} C _inst_1) [_inst_2 : CategoryTheory.Limits.HasMulticoequalizer.{u2, u3, u1} C _inst_1 I] [_inst_3 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.L.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.left.{u1, u2, u3} C _inst_1 I)] [_inst_4 : CategoryTheory.Limits.HasCoproduct.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I)] (b : CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I b) (CategoryTheory.Limits.sigmaObj.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4) (CategoryTheory.Limits.multicoequalizer.{u2, u3, u1} C _inst_1 I _inst_2) (CategoryTheory.Limits.Sigma.ι.{u1, u2, u3} (CategoryTheory.Limits.MultispanIndex.R.{u1, u2, u3} C _inst_1 I) C _inst_1 (CategoryTheory.Limits.MultispanIndex.right.{u1, u2, u3} C _inst_1 I) _inst_4 b) (CategoryTheory.Limits.Multicoequalizer.sigmaπ.{u2, u3, u1} C _inst_1 I _inst_2 _inst_3 _inst_4)) (CategoryTheory.Limits.Multicoequalizer.π.{u2, u3, u1} C _inst_1 I _inst_2 b)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπₓ'. -/
 @[simp, reassoc.1]
 theorem ι_sigmaπ (b) : Sigma.ι I.right b ≫ sigmaπ I = π I b :=
   by
   rw [sigma_π, ← category.assoc, iso.comp_inv_eq, iso_coequalizer]
   simpa
-#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.multicoequalizer.ι_sigmaπ
+#align category_theory.limits.multicoequalizer.ι_sigma_π CategoryTheory.Limits.Multicoequalizer.ι_sigmaπ
 
 instance : Epi (sigmaπ I) :=
   @epi_comp _ _ coequalizer.π_epi _ _

70fd9563

bump to nightly-2023-03-01-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

20cadee0

Diff

@@ -407,13 +407,13 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
 
 variable [HasProduct I.left] [HasProduct I.right]
 
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `discrete_cases #[] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc.1]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap :=
   by
   ext
   trace
-    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `discrete_cases #[]"
+    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]"
   simp
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
 
@@ -625,13 +625,13 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
 
 variable [HasCoproduct I.left] [HasCoproduct I.right]
 
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `discrete_cases #[] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[] -/
 @[simp, reassoc.1]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π :=
   by
   ext
   trace
-    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `discrete_cases #[]"
+    "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `discrete_cases #[]"
   simp
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition

70fd9563

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -327,7 +327,7 @@ namespace Multifork
 variable {I : MulticospanIndex C} (K : Multifork I)
 
 /-- The maps from the cone point of a multifork to the objects on the left. -/
-def ι (a : I.L) : K.x ⟶ I.left a :=
+def ι (a : I.L) : K.pt ⟶ I.left a :=
   K.π.app (WalkingMulticospan.left _)
 #align category_theory.limits.multifork.ι CategoryTheory.Limits.Multifork.ι
 
@@ -362,7 +362,7 @@ theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.
 def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
     (w : ∀ b, ι (I.fstTo b) ≫ I.fst b = ι (I.sndTo b) ≫ I.snd b) : Multifork I
     where
-  x := P
+  pt := P
   π :=
     { app := fun x =>
         match x with
@@ -386,9 +386,9 @@ theorem condition (b) : K.ι (I.fstTo b) ≫ I.fst b = K.ι (I.sndTo b) ≫ I.sn
 
 /-- This definition provides a convenient way to show that a multifork is a limit. -/
 @[simps]
-def IsLimit.mk (lift : ∀ E : Multifork I, E.x ⟶ K.x)
+def IsLimit.mk (lift : ∀ E : Multifork I, E.pt ⟶ K.pt)
     (fac : ∀ (E : Multifork I) (i : I.L), lift E ≫ K.ι i = E.ι i)
-    (uniq : ∀ (E : Multifork I) (m : E.x ⟶ K.x), (∀ i : I.L, m ≫ K.ι i = E.ι i) → m = lift E) :
+    (uniq : ∀ (E : Multifork I) (m : E.pt ⟶ K.pt), (∀ i : I.L, m ≫ K.ι i = E.ι i) → m = lift E) :
     IsLimit K :=
   { lift
     fac := by
@@ -418,10 +418,10 @@ theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
 
 /-- Given a multifork, we may obtain a fork over `∏ I.left ⇉ ∏ I.right`. -/
-@[simps x]
+@[simps pt]
 noncomputable def toPiFork (K : Multifork I) : Fork I.fstPiMap I.sndPiMap
     where
-  x := K.x
+  pt := K.pt
   π :=
     { app := fun x =>
         match x with
@@ -446,10 +446,10 @@ theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lif
 variable (I)
 
 /-- Given a fork over `∏ I.left ⇉ ∏ I.right`, we may obtain a multifork. -/
-@[simps x]
+@[simps pt]
 noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I
     where
-  x := c.x
+  pt := c.pt
   π :=
     { app := fun x =>
         match x with
@@ -552,7 +552,7 @@ namespace Multicofork
 variable {I : MultispanIndex C} (K : Multicofork I)
 
 /-- The maps to the cocone point of a multicofork from the objects on the right. -/
-def π (b : I.R) : I.right b ⟶ K.x :=
+def π (b : I.R) : I.right b ⟶ K.pt :=
   K.ι.app (WalkingMultispan.right _)
 #align category_theory.limits.multicofork.π CategoryTheory.Limits.Multicofork.π
 
@@ -580,7 +580,7 @@ theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.
 def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
     (w : ∀ a, I.fst a ≫ π (I.fstFrom a) = I.snd a ≫ π (I.sndFrom a)) : Multicofork I
     where
-  x := P
+  pt := P
   ι :=
     { app := fun x =>
         match x with
@@ -604,9 +604,9 @@ theorem condition (a) : I.fst a ≫ K.π (I.fstFrom a) = I.snd a ≫ K.π (I.snd
 
 /-- This definition provides a convenient way to show that a multicofork is a colimit. -/
 @[simps]
-def IsColimit.mk (desc : ∀ E : Multicofork I, K.x ⟶ E.x)
+def IsColimit.mk (desc : ∀ E : Multicofork I, K.pt ⟶ E.pt)
     (fac : ∀ (E : Multicofork I) (i : I.R), K.π i ≫ desc E = E.π i)
-    (uniq : ∀ (E : Multicofork I) (m : K.x ⟶ E.x), (∀ i : I.R, K.π i ≫ m = E.π i) → m = desc E) :
+    (uniq : ∀ (E : Multicofork I) (m : K.pt ⟶ E.pt), (∀ i : I.R, K.π i ≫ m = E.π i) → m = desc E) :
     IsColimit K :=
   { desc
     fac := by
@@ -636,10 +636,10 @@ theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition
 
 /-- Given a multicofork, we may obtain a cofork over `∐ I.left ⇉ ∐ I.right`. -/
-@[simps x]
+@[simps pt]
 noncomputable def toSigmaCofork (K : Multicofork I) : Cofork I.fstSigmaMap I.sndSigmaMap
     where
-  x := K.x
+  pt := K.pt
   ι :=
     { app := fun x =>
         match x with
@@ -659,10 +659,10 @@ theorem toSigmaCofork_π : K.toSigmaCofork.π = Sigma.desc K.π :=
 variable (I)
 
 /-- Given a cofork over `∐ I.left ⇉ ∐ I.right`, we may obtain a multicofork. -/
-@[simps x]
+@[simps pt]
 noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multicofork I
     where
-  x := c.x
+  pt := c.pt
   ι :=
     { app := fun x =>
         match x with
@@ -786,7 +786,7 @@ abbrev ι (a : I.L) : multiequalizer I ⟶ I.left a :=
 
 /-- The multifork associated to the multiequalizer. -/
 abbrev multifork : Multifork I :=
-  Limit.cone _
+  limit.cone _
 #align category_theory.limits.multiequalizer.multifork CategoryTheory.Limits.multiequalizer.multifork
 
 @[simp]
@@ -868,7 +868,7 @@ abbrev π (b : I.R) : I.right b ⟶ multicoequalizer I :=
 
 /-- The multicofork associated to the multicoequalizer. -/
 abbrev multicofork : Multicofork I :=
-  Colimit.cocone _
+  colimit.cocone _
 #align category_theory.limits.multicoequalizer.multicofork CategoryTheory.Limits.multicoequalizer.multicofork
 
 @[simp]

70fd9563

bump to nightly-2023-02-27-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

91d8c210

Diff

@@ -391,14 +391,14 @@ def IsLimit.mk (lift : ∀ E : Multifork I, E.x ⟶ K.x)
     (uniq : ∀ (E : Multifork I) (m : E.x ⟶ K.x), (∀ i : I.L, m ≫ K.ι i = E.ι i) → m = lift E) :
     IsLimit K :=
   { lift
-    fac' := by
+    fac := by
       rintro E (a | b)
       · apply fac
       · rw [← E.w (walking_multicospan.hom.fst b), ← K.w (walking_multicospan.hom.fst b), ←
           category.assoc]
         congr 1
         apply fac
-    uniq' := by
+    uniq := by
       rintro E m hm
       apply uniq
       intro i
@@ -609,14 +609,14 @@ def IsColimit.mk (desc : ∀ E : Multicofork I, K.x ⟶ E.x)
     (uniq : ∀ (E : Multicofork I) (m : K.x ⟶ E.x), (∀ i : I.R, K.π i ≫ m = E.π i) → m = desc E) :
     IsColimit K :=
   { desc
-    fac' := by
+    fac := by
       rintro S (a | b)
       · rw [← K.w (walking_multispan.hom.fst a), ← S.w (walking_multispan.hom.fst a),
           category.assoc]
         congr 1
         apply fac
       · apply fac
-    uniq' := by
+    uniq := by
       intro S m hm
       apply uniq
       intro i

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

chore: classify porting notes referring to missing linters (#12098)

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

c5b5490c

Diff

@@ -147,7 +147,8 @@ lemma Hom.comp_eq_comp {X Y Z : WalkingMultispan fst snd}
 end WalkingMultispan
 
 /-- This is a structure encapsulating the data necessary to define a `Multicospan`. -/
---@[nolint has_nonempty_instance]
+-- Porting note(#5171): linter not ported yet
+-- @[nolint has_nonempty_instance]
 structure MulticospanIndex (C : Type u) [Category.{v} C] where
   (L R : Type w)
   (fstTo sndTo : R → L)
@@ -158,7 +159,8 @@ structure MulticospanIndex (C : Type u) [Category.{v} C] where
 #align category_theory.limits.multicospan_index CategoryTheory.Limits.MulticospanIndex
 
 /-- This is a structure encapsulating the data necessary to define a `Multispan`. -/
---@[nolint has_nonempty_instance]
+-- Porting note(#5171): linter not ported yet
+-- @[nolint has_nonempty_instance]
 structure MultispanIndex (C : Type u) [Category.{v} C] where
   (L R : Type w)
   (fstFrom sndFrom : L → R)
@@ -317,13 +319,15 @@ end MultispanIndex
 variable {C : Type u} [Category.{v} C]
 
 /-- A multifork is a cone over a multicospan. -/
---@[nolint has_nonempty_instance]
+-- Porting note(#5171): linter not ported yet
+-- @[nolint has_nonempty_instance]
 abbrev Multifork (I : MulticospanIndex.{w} C) :=
   Cone I.multicospan
 #align category_theory.limits.multifork CategoryTheory.Limits.Multifork
 
 /-- A multicofork is a cocone over a multispan. -/
---@[nolint has_nonempty_instance]
+-- Porting note(#5171): linter not ported yet
+-- @[nolint has_nonempty_instance]
 abbrev Multicofork (I : MultispanIndex.{w} C) :=
   Cocone I.multispan
 #align category_theory.limits.multicofork CategoryTheory.Limits.Multicofork

70fd9563

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -698,7 +698,7 @@ noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤
         -- `Multicofork.ofSigmaCofork_ι_app_left` before `Multicofork.fst_app_right`,
         -- but mathlib4 finds `Multicofork.fst_app_right` first.
         { simp [-Multicofork.fst_app_right] }
-        -- porting note: similarly here, the `simp` set seems to be non-confluent
+        -- Porting note: similarly here, the `simp` set seems to be non-confluent
         { simp [-Multicofork.ofSigmaCofork_pt] } }
 
 /--
@@ -716,7 +716,7 @@ noncomputable def multicoforkEquivSigmaCofork :
   counitIso := NatIso.ofComponents fun K =>
     Cofork.ext (Iso.refl _)
       (by
-        -- porting note: in mathlib3 this was just `ext` and I don't know why it's not here
+        -- Porting note: in mathlib3 this was just `ext` and I don't know why it's not here
         apply Limits.colimit.hom_ext
         rintro ⟨j⟩
         dsimp

70fd9563

chore: classify added lemma porting notes (#10926)

6af752e0

Diff

@@ -88,11 +88,11 @@ instance : SmallCategory (WalkingMulticospan fst snd) where
   assoc := by
     rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _) <;> rfl
 
-@[simp] -- Porting note: added simp lemma
+@[simp] -- Porting note (#10756): added simp lemma
 lemma Hom.id_eq_id (X : WalkingMulticospan fst snd) :
     Hom.id X = 𝟙 X := rfl
 
-@[simp] -- Porting note: added simp lemma
+@[simp] -- Porting note (#10756): added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMulticospan fst snd}
     (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
 
@@ -137,10 +137,10 @@ instance : SmallCategory (WalkingMultispan fst snd) where
   assoc := by
     rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _) <;> rfl
 
-@[simp] -- Porting note: added simp lemma
+@[simp] -- Porting note (#10756): added simp lemma
 lemma Hom.id_eq_id (X : WalkingMultispan fst snd) : Hom.id X = 𝟙 X := rfl
 
-@[simp] -- Porting note: added simp lemma
+@[simp] -- Porting note (#10756): added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMultispan fst snd}
     (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
 
@@ -549,7 +549,7 @@ theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.
   rfl
 #align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_right
 
-@[reassoc (attr := simp)] -- Porting note: added simp lemma
+@[reassoc (attr := simp)] -- Porting note (#10756): added simp lemma
 lemma π_comp_hom (K₁ K₂ : Multicofork I) (f : K₁ ⟶ K₂) (b : I.R) : K₁.π b ≫ f.hom = K₂.π b :=
   f.w _

70fd9563

chore: classify dsimp cannot prove this porting notes (#10676)

Classifies by adding issue number (#10675) to porting notes claiming dsimp cannot prove this.

90d86d7c

Diff

@@ -434,7 +434,7 @@ theorem toPiFork_π_app_zero : K.toPiFork.ι = Pi.lift K.ι :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_zero CategoryTheory.Limits.Multifork.toPiFork_π_app_zero
 
-@[simp, nolint simpNF] -- Porting note: dsimp cannot prove this
+@[simp, nolint simpNF] -- Porting note (#10675): dsimp cannot prove this
 theorem toPiFork_π_app_one : K.toPiFork.π.app WalkingParallelPair.one = Pi.lift K.ι ≫ I.fstPiMap :=
   rfl
 #align category_theory.limits.multifork.to_pi_fork_π_app_one CategoryTheory.Limits.Multifork.toPiFork_π_app_one
@@ -464,7 +464,7 @@ theorem ofPiFork_π_app_left (c : Fork I.fstPiMap I.sndPiMap) (a) :
   rfl
 #align category_theory.limits.multifork.of_pi_fork_π_app_left CategoryTheory.Limits.Multifork.ofPiFork_π_app_left
 
-@[simp, nolint simpNF] -- Porting note: dsimp cannot prove this
+@[simp, nolint simpNF] -- Porting note (#10675): dsimp cannot prove this
 theorem ofPiFork_π_app_right (c : Fork I.fstPiMap I.sndPiMap) (a) :
     (ofPiFork I c).π.app (WalkingMulticospan.right a) = c.ι ≫ I.fstPiMap ≫ Pi.π _ _ :=
   rfl
@@ -644,7 +644,7 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
         · simp }
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork
 
--- Porting note: dsimp cannot prove this... once ofSigmaCofork_ι_app_right' is defined
+-- Porting note (#10675): dsimp cannot prove this... once ofSigmaCofork_ι_app_right' is defined
 @[simp, nolint simpNF]
 theorem ofSigmaCofork_ι_app_left (c : Cofork I.fstSigmaMap I.sndSigmaMap) (a) :
     (ofSigmaCofork I c).ι.app (WalkingMultispan.left a) =

70fd9563

chore: classify simp can do this porting notes (#10619)

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to simp can prove this or simp can simplify this.

de765f60

Diff

@@ -787,7 +787,7 @@ abbrev lift (W : C) (k : ∀ a, W ⟶ I.left a)
   limit.lift _ (Multifork.ofι I _ k h)
 #align category_theory.limits.multiequalizer.lift CategoryTheory.Limits.Multiequalizer.lift
 
-@[reassoc] -- Porting note: simp can prove this, removed attribute
+@[reassoc] -- Porting note (#10618): simp can prove this, removed attribute
 theorem lift_ι (W : C) (k : ∀ a, W ⟶ I.left a)
     (h : ∀ b, k (I.fstTo b) ≫ I.fst b = k (I.sndTo b) ≫ I.snd b) (a) :
     Multiequalizer.lift I _ k h ≫ Multiequalizer.ι I a = k _ :=
@@ -872,7 +872,7 @@ abbrev desc (W : C) (k : ∀ b, I.right b ⟶ W)
   colimit.desc _ (Multicofork.ofπ I _ k h)
 #align category_theory.limits.multicoequalizer.desc CategoryTheory.Limits.Multicoequalizer.desc
 
-@[reassoc] -- Porting note: simp can prove this, removed attribute
+@[reassoc] -- Porting note (#10618): simp can prove this, removed attribute
 theorem π_desc (W : C) (k : ∀ b, I.right b ⟶ W)
     (h : ∀ a, I.fst a ≫ k (I.fstFrom a) = I.snd a ≫ k (I.sndFrom a)) (b) :
     Multicoequalizer.π I b ≫ Multicoequalizer.desc I _ k h = k _ :=

70fd9563

chore: exactly 4 spaces in theorems (#7328)

Co-authored-by: Moritz Firsching <firsching@google.com>

d3263b23

Diff

@@ -94,7 +94,7 @@ lemma Hom.id_eq_id (X : WalkingMulticospan fst snd) :
 
 @[simp] -- Porting note: added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMulticospan fst snd}
-  (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
+    (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
 
 end WalkingMulticospan
 
@@ -142,7 +142,7 @@ lemma Hom.id_eq_id (X : WalkingMultispan fst snd) : Hom.id X = 𝟙 X := rfl
 
 @[simp] -- Porting note: added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMultispan fst snd}
-  (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
+    (f : X ⟶ Y) (g : Y ⟶ Z) : Hom.comp f g = f ≫ g := rfl
 
 end WalkingMultispan

70fd9563

chore: only four spaces for subsequent lines (#7286)

Co-authored-by: Moritz Firsching <firsching@google.com>

0c7d6fa5

Diff

@@ -90,7 +90,7 @@ instance : SmallCategory (WalkingMulticospan fst snd) where
 
 @[simp] -- Porting note: added simp lemma
 lemma Hom.id_eq_id (X : WalkingMulticospan fst snd) :
-  Hom.id X = 𝟙 X := rfl
+    Hom.id X = 𝟙 X := rfl
 
 @[simp] -- Porting note: added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMulticospan fst snd}
@@ -138,8 +138,7 @@ instance : SmallCategory (WalkingMultispan fst snd) where
     rintro (_ | _) (_ | _) (_ | _) (_ | _) (_ | _ | _) (_ | _ | _) (_ | _ | _) <;> rfl
 
 @[simp] -- Porting note: added simp lemma
-lemma Hom.id_eq_id (X : WalkingMultispan fst snd) :
-  Hom.id X = 𝟙 X := rfl
+lemma Hom.id_eq_id (X : WalkingMultispan fst snd) : Hom.id X = 𝟙 X := rfl
 
 @[simp] -- Porting note: added simp lemma
 lemma Hom.comp_eq_comp {X Y Z : WalkingMultispan fst snd}

70fd9563

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

3e44bb07

Diff

@@ -358,7 +358,7 @@ theorem app_right_eq_ι_comp_snd (b) :
 #align category_theory.limits.multifork.app_right_eq_ι_comp_snd CategoryTheory.Limits.Multifork.app_right_eq_ι_comp_snd
 
 @[reassoc (attr := simp)]
-theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.Hom ≫ K₂.ι j = K₁.ι j :=
+theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.hom ≫ K₂.ι j = K₁.ι j :=
   f.w _
 #align category_theory.limits.multifork.hom_comp_ι CategoryTheory.Limits.Multifork.hom_comp_ι
 
@@ -484,7 +484,7 @@ variable (I : MulticospanIndex.{w} C) [HasProduct I.left] [HasProduct I.right]
 noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap where
   obj := Multifork.toPiFork
   map {K₁ K₂} f :=
-    { Hom := f.Hom
+    { hom := f.hom
       w := by
         rintro (_ | _)
         · apply limit.hom_ext
@@ -501,7 +501,7 @@ noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap w
 noncomputable def ofPiForkFunctor : Fork I.fstPiMap I.sndPiMap ⥤ Multifork I where
   obj := Multifork.ofPiFork I
   map {K₁ K₂} f :=
-    { Hom := f.Hom
+    { hom := f.hom
       w := by rintro (_ | _) <;> simp }
 #align category_theory.limits.multicospan_index.of_pi_fork_functor CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctor
 
@@ -551,7 +551,7 @@ theorem snd_app_right (a) : K.ι.app (WalkingMultispan.left a) = I.snd a ≫ K.
 #align category_theory.limits.multicofork.snd_app_right CategoryTheory.Limits.Multicofork.snd_app_right
 
 @[reassoc (attr := simp)] -- Porting note: added simp lemma
-lemma π_comp_hom (K₁ K₂ : Multicofork I) (f : K₁ ⟶ K₂) (b : I.R) : K₁.π b ≫ f.Hom = K₂.π b :=
+lemma π_comp_hom (K₁ K₂ : Multicofork I) (f : K₁ ⟶ K₂) (b : I.R) : K₁.π b ≫ f.hom = K₂.π b :=
   f.w _
 
 /-- Construct a multicofork using a collection `π` of morphisms. -/
@@ -677,7 +677,7 @@ variable (I : MultispanIndex.{w} C) [HasCoproduct I.left] [HasCoproduct I.right]
 noncomputable def toSigmaCoforkFunctor : Multicofork I ⥤ Cofork I.fstSigmaMap I.sndSigmaMap where
   obj := Multicofork.toSigmaCofork
   map {K₁ K₂} f :=
-  { Hom := f.Hom
+  { hom := f.hom
     w := by
       rintro (_|_)
       all_goals {
@@ -691,7 +691,7 @@ noncomputable def toSigmaCoforkFunctor : Multicofork I ⥤ Cofork I.fstSigmaMap
 noncomputable def ofSigmaCoforkFunctor : Cofork I.fstSigmaMap I.sndSigmaMap ⥤ Multicofork I where
   obj := Multicofork.ofSigmaCofork I
   map {K₁ K₂} f :=
-    { Hom := f.Hom
+    { hom := f.hom
       w := by --sorry --by rintro (_ | _) <;> simp
         rintro (_ | _)
         -- porting note; in mathlib3, `simp` worked. What seems to be happening is that

70fd9563

chore: remove unused simps (#6632)

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

916c75c1

Diff

@@ -638,10 +638,10 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
         | WalkingMultispan.left a => (Sigma.ι I.left a : _) ≫ I.fstSigmaMap ≫ c.π
         | WalkingMultispan.right b => (Sigma.ι I.right b : _) ≫ c.π
       naturality := by
-        rintro (_ | _) (_ | _) (_ | _ | _) <;> dsimp
+        rintro (_ | _) (_ | _) (_ | _ | _)
         · simp
         · simp
-        · dsimp; rw [c.condition]; simp
+        · simp [c.condition]
         · simp }
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork

70fd9563

chore: more universe generalisations / fixes (#5659)

There are changes of two types: first I add some .{w} in some declarations to ensure that universes are in the right order. Secondly I generalise some results from Category.{max u1 v1, u2} to Category.{v2, u2}.

From the Copenhagen workshop.

44692e22

Diff

@@ -171,7 +171,7 @@ structure MultispanIndex (C : Type u) [Category.{v} C] where
 
 namespace MulticospanIndex
 
-variable {C : Type u} [Category.{v} C] (I : MulticospanIndex C)
+variable {C : Type u} [Category.{v} C] (I : MulticospanIndex.{w} C)
 
 /-- The multicospan associated to `I : MulticospanIndex`. -/
 def multicospan : WalkingMulticospan I.fstTo I.sndTo ⥤ C where
@@ -244,7 +244,7 @@ end MulticospanIndex
 
 namespace MultispanIndex
 
-variable {C : Type u} [Category.{v} C] (I : MultispanIndex C)
+variable {C : Type u} [Category.{v} C] (I : MultispanIndex.{w} C)
 
 /-- The multispan associated to `I : MultispanIndex`. -/
 def multispan : WalkingMultispan I.fstFrom I.sndFrom ⥤ C where
@@ -319,19 +319,19 @@ variable {C : Type u} [Category.{v} C]
 
 /-- A multifork is a cone over a multicospan. -/
 --@[nolint has_nonempty_instance]
-abbrev Multifork (I : MulticospanIndex C) :=
+abbrev Multifork (I : MulticospanIndex.{w} C) :=
   Cone I.multicospan
 #align category_theory.limits.multifork CategoryTheory.Limits.Multifork
 
 /-- A multicofork is a cocone over a multispan. -/
 --@[nolint has_nonempty_instance]
-abbrev Multicofork (I : MultispanIndex C) :=
+abbrev Multicofork (I : MultispanIndex.{w} C) :=
   Cocone I.multispan
 #align category_theory.limits.multicofork CategoryTheory.Limits.Multicofork
 
 namespace Multifork
 
-variable {I : MulticospanIndex C} (K : Multifork I)
+variable {I : MulticospanIndex.{w} C} (K : Multifork I)
 
 /-- The maps from the cone point of a multifork to the objects on the left. -/
 def ι (a : I.L) : K.pt ⟶ I.left a :=
@@ -364,7 +364,7 @@ theorem hom_comp_ι (K₁ K₂ : Multifork I) (f : K₁ ⟶ K₂) (j : I.L) : f.
 
 /-- Construct a multifork using a collection `ι` of morphisms. -/
 @[simps]
-def ofι (I : MulticospanIndex C) (P : C) (ι : ∀ a, P ⟶ I.left a)
+def ofι (I : MulticospanIndex.{w} C) (P : C) (ι : ∀ a, P ⟶ I.left a)
     (w : ∀ b, ι (I.fstTo b) ≫ I.fst b = ι (I.sndTo b) ≫ I.snd b) : Multifork I where
   pt := P
   π :=
@@ -475,7 +475,7 @@ end Multifork
 
 namespace MulticospanIndex
 
-variable (I : MulticospanIndex C) [HasProduct I.left] [HasProduct I.right]
+variable (I : MulticospanIndex.{w} C) [HasProduct I.left] [HasProduct I.right]
 
 --attribute [local tidy] tactic.case_bash
 
@@ -526,7 +526,7 @@ end MulticospanIndex
 
 namespace Multicofork
 
-variable {I : MultispanIndex C} (K : Multicofork I)
+variable {I : MultispanIndex.{w} C} (K : Multicofork I)
 
 /-- The maps to the cocone point of a multicofork from the objects on the right. -/
 def π (b : I.R) : I.right b ⟶ K.pt :=
@@ -556,7 +556,7 @@ lemma π_comp_hom (K₁ K₂ : Multicofork I) (f : K₁ ⟶ K₂) (b : I.R) : K
 
 /-- Construct a multicofork using a collection `π` of morphisms. -/
 @[simps]
-def ofπ (I : MultispanIndex C) (P : C) (π : ∀ b, I.right b ⟶ P)
+def ofπ (I : MultispanIndex.{w} C) (P : C) (π : ∀ b, I.right b ⟶ P)
     (w : ∀ a, I.fst a ≫ π (I.fstFrom a) = I.snd a ≫ π (I.sndFrom a)) : Multicofork I where
   pt := P
   ι :=
@@ -668,7 +668,7 @@ end Multicofork
 
 namespace MultispanIndex
 
-variable (I : MultispanIndex C) [HasCoproduct I.left] [HasCoproduct I.right]
+variable (I : MultispanIndex.{w} C) [HasCoproduct I.left] [HasCoproduct I.right]
 
 --attribute [local tidy] tactic.case_bash
 
@@ -729,31 +729,31 @@ end MultispanIndex
 
 /-- For `I : MulticospanIndex C`, we say that it has a multiequalizer if the associated
   multicospan has a limit. -/
-abbrev HasMultiequalizer (I : MulticospanIndex C) :=
+abbrev HasMultiequalizer (I : MulticospanIndex.{w} C) :=
   HasLimit I.multicospan
 #align category_theory.limits.has_multiequalizer CategoryTheory.Limits.HasMultiequalizer
 
 noncomputable section
 
 /-- The multiequalizer of `I : MulticospanIndex C`. -/
-abbrev multiequalizer (I : MulticospanIndex C) [HasMultiequalizer I] : C :=
+abbrev multiequalizer (I : MulticospanIndex.{w} C) [HasMultiequalizer I] : C :=
   limit I.multicospan
 #align category_theory.limits.multiequalizer CategoryTheory.Limits.multiequalizer
 
 /-- For `I : MultispanIndex C`, we say that it has a multicoequalizer if
   the associated multicospan has a limit. -/
-abbrev HasMulticoequalizer (I : MultispanIndex C) :=
+abbrev HasMulticoequalizer (I : MultispanIndex.{w} C) :=
   HasColimit I.multispan
 #align category_theory.limits.has_multicoequalizer CategoryTheory.Limits.HasMulticoequalizer
 
 /-- The multiecoqualizer of `I : MultispanIndex C`. -/
-abbrev multicoequalizer (I : MultispanIndex C) [HasMulticoequalizer I] : C :=
+abbrev multicoequalizer (I : MultispanIndex.{w} C) [HasMulticoequalizer I] : C :=
   colimit I.multispan
 #align category_theory.limits.multicoequalizer CategoryTheory.Limits.multicoequalizer
 
 namespace Multiequalizer
 
-variable (I : MulticospanIndex C) [HasMultiequalizer I]
+variable (I : MulticospanIndex.{w} C) [HasMultiequalizer I]
 
 /-- The canonical map from the multiequalizer to the objects on the left. -/
 abbrev ι (a : I.L) : multiequalizer I ⟶ I.left a :=
@@ -833,7 +833,7 @@ end Multiequalizer
 
 namespace Multicoequalizer
 
-variable (I : MultispanIndex C) [HasMulticoequalizer I]
+variable (I : MultispanIndex.{w} C) [HasMulticoequalizer I]
 
 /-- The canonical map from the multiequalizer to the objects on the left. -/
 abbrev π (b : I.R) : I.right b ⟶ multicoequalizer I :=

70fd9563

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) 2021 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.multiequalizer
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Products
 import Mathlib.CategoryTheory.Limits.Shapes.Equalizers
 import Mathlib.CategoryTheory.Limits.ConeCategory
 
+#align_import category_theory.limits.shapes.multiequalizer from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 
 # Multi-(co)equalizers

70fd9563

chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

c795bd35

Diff

@@ -644,7 +644,7 @@ noncomputable def ofSigmaCofork (c : Cofork I.fstSigmaMap I.sndSigmaMap) : Multi
         rintro (_ | _) (_ | _) (_ | _ | _) <;> dsimp
         · simp
         · simp
-        · dsimp ; rw [c.condition] ; simp
+        · dsimp; rw [c.condition]; simp
         · simp }
 #align category_theory.limits.multicofork.of_sigma_cofork CategoryTheory.Limits.Multicofork.ofSigmaCofork

70fd9563

feat: more consistent use of ext, and updating porting notes. (#5242)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

dbae2f17

Diff

@@ -491,7 +491,6 @@ noncomputable def toPiForkFunctor : Multifork I ⥤ Fork I.fstPiMap I.sndPiMap w
       w := by
         rintro (_ | _)
         · apply limit.hom_ext
-          dsimp
           simp
         · apply limit.hom_ext
           intros j

70fd9563

chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

5b958613

Diff

@@ -518,17 +518,12 @@ noncomputable def multiforkEquivPiFork : Multifork I ≌ Fork I.fstPiMap I.sndPi
   functor := toPiForkFunctor I
   inverse := ofPiForkFunctor I
   unitIso :=
-    NatIso.ofComponents
-      (fun K =>
-        Cones.ext (Iso.refl _)
-          (by
-            rintro (_ | _) <;> dsimp <;>
-              simp [← Fork.app_one_eq_ι_comp_left, -Fork.app_one_eq_ι_comp_left]))
-      fun {K₁ K₂} f => by dsimp; ext; simp
+    NatIso.ofComponents fun K =>
+      Cones.ext (Iso.refl _) (by
+        rintro (_ | _) <;> dsimp <;>
+          simp [← Fork.app_one_eq_ι_comp_left, -Fork.app_one_eq_ι_comp_left])
   counitIso :=
-    NatIso.ofComponents
-      (fun K => Fork.ext (Iso.refl _) (by dsimp; ext j; dsimp; simp))
-      fun {K₁ K₂} f => by dsimp; ext; simp
+    NatIso.ofComponents fun K => Fork.ext (Iso.refl _)
 #align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork
 
 end MulticospanIndex
@@ -721,33 +716,17 @@ noncomputable def multicoforkEquivSigmaCofork :
     Multicofork I ≌ Cofork I.fstSigmaMap I.sndSigmaMap where
   functor := toSigmaCoforkFunctor I
   inverse := ofSigmaCoforkFunctor I
-  unitIso :=
-    NatIso.ofComponents (fun K => Cocones.ext (Iso.refl _) (by
-      rintro (_ | _)
-      · dsimp; simp
-      -- porting note; `dsimp, simp` worked in mathlib3.
-      · dsimp [Multicofork.ofSigmaCofork]; simp ))
-      fun {K₁ K₂} f => by
-        -- porting note: in mathlib3 `ext` works and I don't
-        -- really understand why it doesn't work here
-        apply Limits.CoconeMorphism.ext
-        simp
-  counitIso :=
-    NatIso.ofComponents
-      (fun K =>
-        Cofork.ext (Iso.refl _)
-          (by
-            -- porting note: in mathlib3 this was just `ext` and I don't know why it's not here
-            apply Limits.colimit.hom_ext
-            rintro ⟨j⟩
-            dsimp
-            simp only [Category.comp_id, colimit.ι_desc, Cofan.mk_ι_app]
-            rfl))
-      fun {K₁ K₂} f => by
-        -- porting note: in mathlib3 the next line was just `ext`
-        apply Limits.CoconeMorphism.ext
+  unitIso := NatIso.ofComponents fun K => Cocones.ext (Iso.refl _) (by
+      rintro (_ | _) <;> simp)
+  counitIso := NatIso.ofComponents fun K =>
+    Cofork.ext (Iso.refl _)
+      (by
+        -- porting note: in mathlib3 this was just `ext` and I don't know why it's not here
+        apply Limits.colimit.hom_ext
+        rintro ⟨j⟩
         dsimp
-        simp
+        simp only [Category.comp_id, colimit.ι_desc, Cofan.mk_ι_app]
+        rfl)
 #align category_theory.limits.multispan_index.multicofork_equiv_sigma_cofork CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCofork
 
 end MultispanIndex

70fd9563

feat: port CategoryTheory.Monoidal.Mon_ (#4763)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

e95a1363

Diff

@@ -414,7 +414,6 @@ variable [HasProduct I.left] [HasProduct I.right]
 @[reassoc (attr := simp)]
 theorem pi_condition : Pi.lift K.ι ≫ I.fstPiMap = Pi.lift K.ι ≫ I.sndPiMap := by
   ext
-  discrete_cases
   simp
 #align category_theory.limits.multifork.pi_condition CategoryTheory.Limits.Multifork.pi_condition
 
@@ -613,7 +612,6 @@ variable [HasCoproduct I.left] [HasCoproduct I.right]
 @[reassoc (attr := simp)]
 theorem sigma_condition : I.fstSigmaMap ≫ Sigma.desc K.π = I.sndSigmaMap ≫ Sigma.desc K.π := by
   ext
-  discrete_cases
   simp
 #align category_theory.limits.multicofork.sigma_condition CategoryTheory.Limits.Multicofork.sigma_condition

70fd9563

feat: port CategoryTheory.Preadditive.Projective (#3615)

Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

bfb4a245

Diff

@@ -528,7 +528,7 @@ noncomputable def multiforkEquivPiFork : Multifork I ≌ Fork I.fstPiMap I.sndPi
       fun {K₁ K₂} f => by dsimp; ext; simp
   counitIso :=
     NatIso.ofComponents
-      (fun K => Fork.ext (Iso.refl _) (by dsimp; ext ⟨j⟩; dsimp; simp))
+      (fun K => Fork.ext (Iso.refl _) (by dsimp; ext j; dsimp; simp))
       fun {K₁ K₂} f => by dsimp; ext; simp
 #align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork

70fd9563

chore: tidy various files (#3358)

5cedfb5e

Diff

@@ -459,7 +459,7 @@ noncomputable def ofPiFork (c : Fork I.fstPiMap I.sndPiMap) : Multifork I where
         rintro (_ | _) (_ | _) (_ | _ | _)
         · simp
         · simp
-        · dsimp ; rw [c.condition_assoc] ; simp
+        · dsimp; rw [c.condition_assoc]; simp
         · simp }
 #align category_theory.limits.multifork.of_pi_fork CategoryTheory.Limits.Multifork.ofPiFork
 
@@ -525,14 +525,11 @@ noncomputable def multiforkEquivPiFork : Multifork I ≌ Fork I.fstPiMap I.sndPi
           (by
             rintro (_ | _) <;> dsimp <;>
               simp [← Fork.app_one_eq_ι_comp_left, -Fork.app_one_eq_ι_comp_left]))
-      fun {K₁ K₂} f => by dsimp ; ext ; simp
+      fun {K₁ K₂} f => by dsimp; ext; simp
   counitIso :=
     NatIso.ofComponents
-      (fun K =>
-        Fork.ext (Iso.refl _)
-          (by dsimp ; ext ⟨j⟩ ; dsimp ; simp
-            ))
-      fun {K₁ K₂} f => by dsimp ; ext ; simp
+      (fun K => Fork.ext (Iso.refl _) (by dsimp; ext ⟨j⟩; dsimp; simp))
+      fun {K₁ K₂} f => by dsimp; ext; simp
 #align category_theory.limits.multicospan_index.multifork_equiv_pi_fork CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork
 
 end MulticospanIndex
@@ -690,8 +687,8 @@ variable (I : MultispanIndex C) [HasCoproduct I.left] [HasCoproduct I.right]
 @[simps]
 noncomputable def toSigmaCoforkFunctor : Multicofork I ⥤ Cofork I.fstSigmaMap I.sndSigmaMap where
   obj := Multicofork.toSigmaCofork
-  map {K₁ K₂} f := {
-    Hom := f.Hom
+  map {K₁ K₂} f :=
+  { Hom := f.Hom
     w := by
       rintro (_|_)
       all_goals {
@@ -729,9 +726,9 @@ noncomputable def multicoforkEquivSigmaCofork :
   unitIso :=
     NatIso.ofComponents (fun K => Cocones.ext (Iso.refl _) (by
       rintro (_ | _)
-      { dsimp; simp }
+      · dsimp; simp
       -- porting note; `dsimp, simp` worked in mathlib3.
-      { dsimp [Multicofork.ofSigmaCofork]; simp } ))
+      · dsimp [Multicofork.ofSigmaCofork]; simp ))
       fun {K₁ K₂} f => by
         -- porting note: in mathlib3 `ext` works and I don't
         -- really understand why it doesn't work here

70fd9563

feat: port CategoryTheory.Sites.SheafOfTypes (#3223)

Co-authored-by: Scott Morrison <scott@tqft.net>

7eee4331

Diff

@@ -746,9 +746,7 @@ noncomputable def multicoforkEquivSigmaCofork :
             apply Limits.colimit.hom_ext
             rintro ⟨j⟩
             dsimp
-            -- porting note: the last element was `cofan.mk_ι_app` in mathlib3 but at the
-            -- time of writing this was not being generated by `@[simps]` on `Cofan.mk` in lean4
-            simp only [Category.comp_id, colimit.ι_desc, Cofan.mk_ι]
+            simp only [Category.comp_id, colimit.ι_desc, Cofan.mk_ι_app]
             rfl))
       fun {K₁ K₂} f => by
         -- porting note: in mathlib3 the next line was just `ext`

70fd9563

feat: Port CategoryTheory.Limits.Shapes.Multiequalizer (#2786)

Co-authored-by: adamtopaz <github@adamtopaz.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com> Co-authored-by: Moritz Firsching <firsching@google.com>

b8ffec92

`category_theory.limits.shapes.multiequalizer` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 115

category_theory.limits.shapes.multiequalizer ⟷ Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 115

`category_theory.limits.shapes.multiequalizer` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer`