category_theory.limits.shapes.wide_equalizers

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

9d2f0748

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Limits.HasLimits
-import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
+import CategoryTheory.Limits.HasLimits
+import CategoryTheory.Limits.Shapes.Equalizers
 
 #align_import category_theory.limits.shapes.wide_equalizers from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"

9d2f0748

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.wide_equalizers
-! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.HasLimits
 import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
 
+#align_import category_theory.limits.shapes.wide_equalizers from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
+
 /-!
 # Wide equalizers and wide coequalizers

9d2f0748

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -144,21 +144,28 @@ def parallelFamily : WalkingParallelFamily J ⥤ C
 #align category_theory.limits.parallel_family CategoryTheory.Limits.parallelFamily
 -/
 
+#print CategoryTheory.Limits.parallelFamily_obj_zero /-
 @[simp]
 theorem parallelFamily_obj_zero : (parallelFamily f).obj zero = X :=
   rfl
 #align category_theory.limits.parallel_family_obj_zero CategoryTheory.Limits.parallelFamily_obj_zero
+-/
 
+#print CategoryTheory.Limits.parallelFamily_obj_one /-
 @[simp]
 theorem parallelFamily_obj_one : (parallelFamily f).obj one = Y :=
   rfl
 #align category_theory.limits.parallel_family_obj_one CategoryTheory.Limits.parallelFamily_obj_one
+-/
 
+#print CategoryTheory.Limits.parallelFamily_map_left /-
 @[simp]
 theorem parallelFamily_map_left {j : J} : (parallelFamily f).map (line j) = f j :=
   rfl
 #align category_theory.limits.parallel_family_map_left CategoryTheory.Limits.parallelFamily_map_left
+-/
 
+#print CategoryTheory.Limits.diagramIsoParallelFamily /-
 /-- Every functor indexing a wide (co)equalizer is naturally isomorphic (actually, equal) to a
     `parallel_family` -/
 @[simps]
@@ -166,7 +173,9 @@ def diagramIsoParallelFamily (F : WalkingParallelFamily J ⥤ C) :
     F ≅ parallelFamily fun j => F.map (line j) :=
   (NatIso.ofComponents fun j => eqToIso <| by cases j <;> tidy) <| by tidy
 #align category_theory.limits.diagram_iso_parallel_family CategoryTheory.Limits.diagramIsoParallelFamily
+-/
 
+#print CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair /-
 /-- `walking_parallel_pair` as a category is equivalent to a special case of
 `walking_parallel_family`.  -/
 @[simps]
@@ -179,6 +188,7 @@ def walkingParallelFamilyEquivWalkingParallelPair :
   unitIso := NatIso.ofComponents (fun X => eqToIso (by cases X <;> rfl)) (by tidy)
   counitIso := NatIso.ofComponents (fun X => eqToIso (by cases X <;> rfl)) (by tidy)
 #align category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair
+-/
 
 #print CategoryTheory.Limits.Trident /-
 /-- A trident on `f` is just a `cone (parallel_family f)`. -/
@@ -196,39 +206,51 @@ abbrev Cotrident :=
 
 variable {f}
 
+#print CategoryTheory.Limits.Trident.ι /-
 /-- A trident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.π.app zero : t.X ⟶ X` and `t.π.app one : t.X ⟶ Y`. Of these, only the first one is
     interesting, and we give it the shorter name `trident.ι t`. -/
 abbrev Trident.ι (t : Trident f) :=
   t.π.app zero
 #align category_theory.limits.trident.ι CategoryTheory.Limits.Trident.ι
+-/
 
+#print CategoryTheory.Limits.Cotrident.π /-
 /-- A cotrident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.ι.app zero : X ⟶ t.X` and `t.ι.app one : Y ⟶ t.X`. Of these, only the second one is
     interesting, and we give it the shorter name `cotrident.π t`. -/
 abbrev Cotrident.π (t : Cotrident f) :=
   t.ι.app one
 #align category_theory.limits.cotrident.π CategoryTheory.Limits.Cotrident.π
+-/
 
+#print CategoryTheory.Limits.Trident.ι_eq_app_zero /-
 @[simp]
 theorem Trident.ι_eq_app_zero (t : Trident f) : t.ι = t.π.app zero :=
   rfl
 #align category_theory.limits.trident.ι_eq_app_zero CategoryTheory.Limits.Trident.ι_eq_app_zero
+-/
 
+#print CategoryTheory.Limits.Cotrident.π_eq_app_one /-
 @[simp]
 theorem Cotrident.π_eq_app_one (t : Cotrident f) : t.π = t.ι.app one :=
   rfl
 #align category_theory.limits.cotrident.π_eq_app_one CategoryTheory.Limits.Cotrident.π_eq_app_one
+-/
 
+#print CategoryTheory.Limits.Trident.app_zero /-
 @[simp, reassoc]
 theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.app one := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zero
+-/
 
+#print CategoryTheory.Limits.Cotrident.app_one /-
 @[simp, reassoc]
 theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.ι.app zero := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_one
+-/
 
 #print CategoryTheory.Limits.Trident.ofι /-
 /-- A trident on `f : J → (X ⟶ Y)` is determined by the morphism `ι : P ⟶ X` satisfying
@@ -266,27 +288,36 @@ def Cotrident.ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j
 #align category_theory.limits.cotrident.of_π CategoryTheory.Limits.Cotrident.ofπ
 -/
 
+#print CategoryTheory.Limits.Trident.ι_ofι /-
 -- See note [dsimp, simp]
 theorem Trident.ι_ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫ f j₁ = ι ≫ f j₂) :
     (Trident.ofι ι w).ι = ι :=
   rfl
 #align category_theory.limits.trident.ι_of_ι CategoryTheory.Limits.Trident.ι_ofι
+-/
 
+#print CategoryTheory.Limits.Cotrident.π_ofπ /-
 theorem Cotrident.π_ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j₁ ≫ π = f j₂ ≫ π) :
     (Cotrident.ofπ π w).π = π :=
   rfl
 #align category_theory.limits.cotrident.π_of_π CategoryTheory.Limits.Cotrident.π_ofπ
+-/
 
+#print CategoryTheory.Limits.Trident.condition /-
 @[reassoc]
 theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.ι ≫ f j₂ := by
   rw [t.app_zero, t.app_zero]
 #align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.condition
+-/
 
+#print CategoryTheory.Limits.Cotrident.condition /-
 @[reassoc]
 theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π = f j₂ ≫ t.π := by
   rw [t.app_one, t.app_one]
 #align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.condition
+-/
 
+#print CategoryTheory.Limits.Trident.equalizer_ext /-
 /-- To check whether two maps are equalized by both maps of a trident, it suffices to check it for
 the first map -/
 theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶ s.pt}
@@ -294,7 +325,9 @@ theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶
   | zero => h
   | one => by rw [← s.app_zero (Classical.arbitrary J), reassoc_of h]
 #align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_ext
+-/
 
+#print CategoryTheory.Limits.Cotrident.coequalizer_ext /-
 /-- To check whether two maps are coequalized by both maps of a cotrident, it suffices to check it
 for the second map -/
 theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l : s.pt ⟶ W}
@@ -302,17 +335,23 @@ theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l :
   | zero => by rw [← s.app_one (Classical.arbitrary J), category.assoc, category.assoc, h]
   | one => h
 #align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_ext
+-/
 
+#print CategoryTheory.Limits.Trident.IsLimit.hom_ext /-
 theorem Trident.IsLimit.hom_ext [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
     {k l : W ⟶ s.pt} (h : k ≫ s.ι = l ≫ s.ι) : k = l :=
   hs.hom_ext <| Trident.equalizer_ext _ h
 #align category_theory.limits.trident.is_limit.hom_ext CategoryTheory.Limits.Trident.IsLimit.hom_ext
+-/
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.hom_ext /-
 theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C}
     {k l : s.pt ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
   hs.hom_ext <| Cotrident.coequalizer_ext _ h
 #align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_ext
+-/
 
+#print CategoryTheory.Limits.Trident.IsLimit.lift' /-
 /-- If `s` is a limit trident over `f`, then a morphism `k : W ⟶ X` satisfying
     `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` induces a morphism `l : W ⟶ s.X` such that
     `l ≫ trident.ι s = k`. -/
@@ -320,7 +359,9 @@ def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
     (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) : { l : W ⟶ s.pt // l ≫ Trident.ι s = k } :=
   ⟨hs.lift <| Trident.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'
+-/
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.desc' /-
 /-- If `s` is a colimit cotrident over `f`, then a morphism `k : Y ⟶ W` satisfying
     `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism `l : s.X ⟶ W` such that
     `cotrident.π s ≫ l = k`. -/
@@ -328,7 +369,9 @@ def Cotrident.IsColimit.desc' [Nonempty J] {s : Cotrident f} (hs : IsColimit s)
     (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) : { l : s.pt ⟶ W // Cotrident.π s ≫ l = k } :=
   ⟨hs.desc <| Cotrident.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'
+-/
 
+#print CategoryTheory.Limits.Trident.IsLimit.mk /-
 /-- This is a slightly more convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s.pt ⟶ t.pt)
@@ -343,7 +386,9 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
         (by rw [← t.w (line (Classical.arbitrary J)), reassoc_of fac, s.w])
     uniq := uniq }
 #align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mk
+-/
 
+#print CategoryTheory.Limits.Trident.IsLimit.mk' /-
 /-- This is another convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -352,7 +397,9 @@ def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
   Trident.IsLimit.mk t (fun s => (create s).1) (fun s => (create s).2.1) fun s m w =>
     (create s).2.2 (w zero)
 #align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'
+-/
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.mk /-
 /-- This is a slightly more convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrident f, t.pt ⟶ s.pt)
@@ -367,7 +414,9 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
         (fac s)
     uniq := uniq }
 #align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mk
+-/
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.mk' /-
 /-- This is another convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -378,6 +427,7 @@ def Cotrident.IsColimit.mk' [Nonempty J] (t : Cotrident f)
   Cotrident.IsColimit.mk t (fun s => (create s).1) (fun s => (create s).2.1) fun s m w =>
     (create s).2.2 (w one)
 #align category_theory.limits.cotrident.is_colimit.mk' CategoryTheory.Limits.Cotrident.IsColimit.mk'
+-/
 
 #print CategoryTheory.Limits.Trident.IsLimit.homIso /-
 /--
@@ -396,12 +446,14 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
 #align category_theory.limits.trident.is_limit.hom_iso CategoryTheory.Limits.Trident.IsLimit.homIso
 -/
 
+#print CategoryTheory.Limits.Trident.IsLimit.homIso_natural /-
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
     (q : Z' ⟶ Z) (k : Z ⟶ t.pt) :
     (Trident.IsLimit.homIso ht _ (q ≫ k) : Z' ⟶ X) = q ≫ (Trident.IsLimit.homIso ht _ k : Z ⟶ X) :=
   Category.assoc _ _ _
 #align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_natural
+-/
 
 #print CategoryTheory.Limits.Cotrident.IsColimit.homIso /-
 /-- Given a colimit cocone for the family `f : J → (X ⟶ Y)`, for any `Z`, morphisms from the cocone
@@ -420,6 +472,7 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
 #align category_theory.limits.cotrident.is_colimit.hom_iso CategoryTheory.Limits.Cotrident.IsColimit.homIso
 -/
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural /-
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')
     (ht : IsColimit t) (k : t.pt ⟶ Z) :
@@ -427,7 +480,9 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
       (Cotrident.IsColimit.homIso ht _ k : Y ⟶ Z) ≫ q :=
   (Category.assoc _ _ _).symm
 #align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural
+-/
 
+#print CategoryTheory.Limits.Cone.ofTrident /-
 /-- This is a helper construction that can be useful when verifying that a category has certain wide
     equalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a trident on `λ j, F.map (line j)`, we get a cone
@@ -443,7 +498,9 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
     { app := fun X => t.π.app X ≫ eqToHom (by tidy)
       naturality' := fun j j' g => by cases g <;> · dsimp; simp }
 #align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTrident
+-/
 
+#print CategoryTheory.Limits.Cocone.ofCotrident /-
 /-- This is a helper construction that can be useful when verifying that a category has all
     coequalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a cotrident on `λ j, F.map (line j)` we get a
@@ -459,20 +516,26 @@ def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j
     { app := fun X => eqToHom (by tidy) ≫ t.ι.app X
       naturality' := fun j j' g => by cases g <;> dsimp <;> simp [cotrident.app_one t] }
 #align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotrident
+-/
 
+#print CategoryTheory.Limits.Cone.ofTrident_π /-
 @[simp]
 theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j))
     (j) : (Cone.ofTrident t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_π
+-/
 
+#print CategoryTheory.Limits.Cocone.ofCotrident_ι /-
 @[simp]
 theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
     (t : Cotrident fun j => F.map (line j)) (j) :
     (Cocone.ofCotrident t).ι.app j = eqToHom (by tidy) ≫ t.ι.app j :=
   rfl
 #align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ι
+-/
 
+#print CategoryTheory.Limits.Trident.ofCone /-
 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))` and a cone on `F`, we get a trident on
     `λ j, F.map (line j)`. -/
@@ -481,7 +544,9 @@ def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fu
   pt := t.pt
   π := { app := fun X => t.π.app X ≫ eqToHom (by tidy) }
 #align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofCone
+-/
 
+#print CategoryTheory.Limits.Cotrident.ofCocone /-
 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (F.map left) (F.map right)` and a cocone on `F`, we get a cotrident on
     `λ j, F.map (line j)`. -/
@@ -490,19 +555,25 @@ def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
   pt := t.pt
   ι := { app := fun X => eqToHom (by tidy) ≫ t.ι.app X }
 #align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCocone
+-/
 
+#print CategoryTheory.Limits.Trident.ofCone_π /-
 @[simp]
 theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
     (Trident.ofCone t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_π
+-/
 
+#print CategoryTheory.Limits.Cotrident.ofCocone_ι /-
 @[simp]
 theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) (j) :
     (Cotrident.ofCocone t).ι.app j = eqToHom (by tidy) ≫ t.ι.app j :=
   rfl
 #align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ι
+-/
 
+#print CategoryTheory.Limits.Trident.mkHom /-
 /-- Helper function for constructing morphisms between wide equalizer tridents.
 -/
 @[simps]
@@ -514,7 +585,9 @@ def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt) (w : k ≫
     · exact w
     · simpa using w =≫ f (Classical.arbitrary J)
 #align category_theory.limits.trident.mk_hom CategoryTheory.Limits.Trident.mkHom
+-/
 
+#print CategoryTheory.Limits.Trident.ext /-
 /-- To construct an isomorphism between tridents,
 it suffices to give an isomorphism between the cone points
 and check that it commutes with the `ι` morphisms.
@@ -525,7 +598,9 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.Hom 
   Hom := Trident.mkHom i.Hom w
   inv := Trident.mkHom i.inv (by rw [← w, iso.inv_hom_id_assoc])
 #align category_theory.limits.trident.ext CategoryTheory.Limits.Trident.ext
+-/
 
+#print CategoryTheory.Limits.Cotrident.mkHom /-
 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
 @[simps]
@@ -537,7 +612,9 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.
     · simpa using f (Classical.arbitrary J) ≫= w
     · exact w
 #align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHom
+-/
 
+#print CategoryTheory.Limits.Cotrident.ext /-
 /-- To construct an isomorphism between cotridents,
 it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
@@ -547,6 +624,7 @@ def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.pt ≅ t.pt) (w : s.π
   Hom := Cotrident.mkHom i.Hom w
   inv := Cotrident.mkHom i.inv (by rw [iso.comp_inv_eq, w])
 #align category_theory.limits.cotrident.ext CategoryTheory.Limits.Cotrident.ext
+-/
 
 variable (f)
 
@@ -588,16 +666,20 @@ abbrev wideEqualizer.trident : Trident f :=
 #align category_theory.limits.wide_equalizer.trident CategoryTheory.Limits.wideEqualizer.trident
 -/
 
+#print CategoryTheory.Limits.wideEqualizer.trident_ι /-
 @[simp]
 theorem wideEqualizer.trident_ι : (wideEqualizer.trident f).ι = wideEqualizer.ι f :=
   rfl
 #align category_theory.limits.wide_equalizer.trident_ι CategoryTheory.Limits.wideEqualizer.trident_ι
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.trident_π_app_zero /-
 @[simp]
 theorem wideEqualizer.trident_π_app_zero :
     (wideEqualizer.trident f).π.app zero = wideEqualizer.ι f :=
   rfl
 #align category_theory.limits.wide_equalizer.trident_π_app_zero CategoryTheory.Limits.wideEqualizer.trident_π_app_zero
+-/
 
 #print CategoryTheory.Limits.wideEqualizer.condition /-
 @[reassoc]
@@ -665,11 +747,13 @@ section
 
 variable {f}
 
+#print CategoryTheory.Limits.mono_of_isLimit_parallelFamily /-
 /-- The wide equalizer morphism in any limit cone is a monomorphism. -/
 theorem mono_of_isLimit_parallelFamily [Nonempty J] {c : Cone (parallelFamily f)} (i : IsLimit c) :
     Mono (Trident.ι c) :=
   { right_cancellation := fun Z h k w => Trident.IsLimit.hom_ext i w }
 #align category_theory.limits.mono_of_is_limit_parallel_family CategoryTheory.Limits.mono_of_isLimit_parallelFamily
+-/
 
 end
 
@@ -710,16 +794,20 @@ abbrev wideCoequalizer.cotrident : Cotrident f :=
 #align category_theory.limits.wide_coequalizer.cotrident CategoryTheory.Limits.wideCoequalizer.cotrident
 -/
 
+#print CategoryTheory.Limits.wideCoequalizer.cotrident_π /-
 @[simp]
 theorem wideCoequalizer.cotrident_π : (wideCoequalizer.cotrident f).π = wideCoequalizer.π f :=
   rfl
 #align category_theory.limits.wide_coequalizer.cotrident_π CategoryTheory.Limits.wideCoequalizer.cotrident_π
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one /-
 @[simp]
 theorem wideCoequalizer.cotrident_ι_app_one :
     (wideCoequalizer.cotrident f).ι.app one = wideCoequalizer.π f :=
   rfl
 #align category_theory.limits.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one
+-/
 
 #print CategoryTheory.Limits.wideCoequalizer.condition /-
 @[reassoc]
@@ -788,11 +876,13 @@ section
 
 variable {f}
 
+#print CategoryTheory.Limits.epi_of_isColimit_parallelFamily /-
 /-- The wide coequalizer morphism in any colimit cocone is an epimorphism. -/
 theorem epi_of_isColimit_parallelFamily [Nonempty J] {c : Cocone (parallelFamily f)}
     (i : IsColimit c) : Epi (c.ι.app one) :=
   { left_cancellation := fun Z h k w => Cotrident.IsColimit.hom_ext i w }
 #align category_theory.limits.epi_of_is_colimit_parallel_family CategoryTheory.Limits.epi_of_isColimit_parallelFamily
+-/
 
 end

9d2f0748

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -84,7 +84,7 @@ instance : Inhabited (WalkingParallelFamily J) :=
 #print CategoryTheory.Limits.WalkingParallelFamily.Hom /-
 /-- The type family of morphisms for the diagram indexing a wide (co)equalizer. -/
 inductive WalkingParallelFamily.Hom (J : Type w) :
-  WalkingParallelFamily J → WalkingParallelFamily J → Type w
+    WalkingParallelFamily J → WalkingParallelFamily J → Type w
   | id : ∀ X : WalkingParallelFamily.{w} J, walking_parallel_family.hom X X
   | line : ∀ j : J, walking_parallel_family.hom zero one
   deriving DecidableEq

9d2f0748

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -144,45 +144,21 @@ def parallelFamily : WalkingParallelFamily J ⥤ C
 #align category_theory.limits.parallel_family CategoryTheory.Limits.parallelFamily
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.parallel_family_obj_zero CategoryTheory.Limits.parallelFamily_obj_zeroₓ'. -/
 @[simp]
 theorem parallelFamily_obj_zero : (parallelFamily f).obj zero = X :=
   rfl
 #align category_theory.limits.parallel_family_obj_zero CategoryTheory.Limits.parallelFamily_obj_zero
 
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 @[simp]
 theorem parallelFamily_obj_one : (parallelFamily f).obj one = Y :=
   rfl
 #align category_theory.limits.parallel_family_obj_one CategoryTheory.Limits.parallelFamily_obj_one
 
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 @[simp]
 theorem parallelFamily_map_left {j : J} : (parallelFamily f).map (line j) = f j :=
   rfl
 #align category_theory.limits.parallel_family_map_left CategoryTheory.Limits.parallelFamily_map_left
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.diagram_iso_parallel_family CategoryTheory.Limits.diagramIsoParallelFamilyₓ'. -/
 /-- Every functor indexing a wide (co)equalizer is naturally isomorphic (actually, equal) to a
     `parallel_family` -/
 @[simps]
@@ -191,12 +167,6 @@ def diagramIsoParallelFamily (F : WalkingParallelFamily J ⥤ C) :
   (NatIso.ofComponents fun j => eqToIso <| by cases j <;> tidy) <| by tidy
 #align category_theory.limits.diagram_iso_parallel_family CategoryTheory.Limits.diagramIsoParallelFamily
 
-/- warning: category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair -> CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.Equivalence.{u1, 0, u1, 0} (CategoryTheory.Limits.WalkingParallelFamily.{u1} (ULift.{u1, 0} Bool)) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory
-but is expected to have type
-  CategoryTheory.Equivalence.{u1, 0, u1, 0} (CategoryTheory.Limits.WalkingParallelFamily.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.walkingParallelPairHomCategory
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPairₓ'. -/
 /-- `walking_parallel_pair` as a category is equivalent to a special case of
 `walking_parallel_family`.  -/
 @[simps]
@@ -226,12 +196,6 @@ abbrev Cotrident :=
 
 variable {f}
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.ι CategoryTheory.Limits.Trident.ιₓ'. -/
 /-- A trident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.π.app zero : t.X ⟶ X` and `t.π.app one : t.X ⟶ Y`. Of these, only the first one is
     interesting, and we give it the shorter name `trident.ι t`. -/
@@ -239,12 +203,6 @@ abbrev Trident.ι (t : Trident f) :=
   t.π.app zero
 #align category_theory.limits.trident.ι CategoryTheory.Limits.Trident.ι
 
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 /-- A cotrident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.ι.app zero : X ⟶ t.X` and `t.ι.app one : Y ⟶ t.X`. Of these, only the second one is
     interesting, and we give it the shorter name `cotrident.π t`. -/
@@ -252,39 +210,21 @@ abbrev Cotrident.π (t : Cotrident f) :=
   t.ι.app one
 #align category_theory.limits.cotrident.π CategoryTheory.Limits.Cotrident.π
 
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 @[simp]
 theorem Trident.ι_eq_app_zero (t : Trident f) : t.ι = t.π.app zero :=
   rfl
 #align category_theory.limits.trident.ι_eq_app_zero CategoryTheory.Limits.Trident.ι_eq_app_zero
 
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 @[simp]
 theorem Cotrident.π_eq_app_one (t : Cotrident f) : t.π = t.ι.app one :=
   rfl
 #align category_theory.limits.cotrident.π_eq_app_one CategoryTheory.Limits.Cotrident.π_eq_app_one
 
-/- warning: category_theory.limits.trident.app_zero -> CategoryTheory.Limits.Trident.app_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zeroₓ'. -/
 @[simp, reassoc]
 theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.app one := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zero
 
-/- warning: category_theory.limits.cotrident.app_one -> CategoryTheory.Limits.Cotrident.app_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_oneₓ'. -/
 @[simp, reassoc]
 theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.ι.app zero := by
   rw [← s.w (line j), parallel_family_map_left]
@@ -326,48 +266,27 @@ def Cotrident.ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j
 #align category_theory.limits.cotrident.of_π CategoryTheory.Limits.Cotrident.ofπ
 -/
 
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 -- See note [dsimp, simp]
 theorem Trident.ι_ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫ f j₁ = ι ≫ f j₂) :
     (Trident.ofι ι w).ι = ι :=
   rfl
 #align category_theory.limits.trident.ι_of_ι CategoryTheory.Limits.Trident.ι_ofι
 
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 theorem Cotrident.π_ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j₁ ≫ π = f j₂ ≫ π) :
     (Cotrident.ofπ π w).π = π :=
   rfl
 #align category_theory.limits.cotrident.π_of_π CategoryTheory.Limits.Cotrident.π_ofπ
 
-/- warning: category_theory.limits.trident.condition -> CategoryTheory.Limits.Trident.condition is a dubious translation:
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 @[reassoc]
 theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.ι ≫ f j₂ := by
   rw [t.app_zero, t.app_zero]
 #align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.condition
 
-/- warning: category_theory.limits.cotrident.condition -> CategoryTheory.Limits.Cotrident.condition is a dubious translation:
-<too large>
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 @[reassoc]
 theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π = f j₂ ≫ t.π := by
   rw [t.app_one, t.app_one]
 #align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.condition
 
-/- warning: category_theory.limits.trident.equalizer_ext -> CategoryTheory.Limits.Trident.equalizer_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_extₓ'. -/
 /-- To check whether two maps are equalized by both maps of a trident, it suffices to check it for
 the first map -/
 theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶ s.pt}
@@ -376,9 +295,6 @@ theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶
   | one => by rw [← s.app_zero (Classical.arbitrary J), reassoc_of h]
 #align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_ext
 
-/- warning: category_theory.limits.cotrident.coequalizer_ext -> CategoryTheory.Limits.Cotrident.coequalizer_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_extₓ'. -/
 /-- To check whether two maps are coequalized by both maps of a cotrident, it suffices to check it
 for the second map -/
 theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l : s.pt ⟶ W}
@@ -387,31 +303,16 @@ theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l :
   | one => h
 #align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_ext
 
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 theorem Trident.IsLimit.hom_ext [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
     {k l : W ⟶ s.pt} (h : k ≫ s.ι = l ≫ s.ι) : k = l :=
   hs.hom_ext <| Trident.equalizer_ext _ h
 #align category_theory.limits.trident.is_limit.hom_ext CategoryTheory.Limits.Trident.IsLimit.hom_ext
 
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 theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C}
     {k l : s.pt ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
   hs.hom_ext <| Cotrident.coequalizer_ext _ h
 #align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_ext
 
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 /-- If `s` is a limit trident over `f`, then a morphism `k : W ⟶ X` satisfying
     `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` induces a morphism `l : W ⟶ s.X` such that
     `l ≫ trident.ι s = k`. -/
@@ -420,9 +321,6 @@ def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
   ⟨hs.lift <| Trident.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cotrident over `f`, then a morphism `k : Y ⟶ W` satisfying
     `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism `l : s.X ⟶ W` such that
     `cotrident.π s ≫ l = k`. -/
@@ -431,9 +329,6 @@ def Cotrident.IsColimit.desc' [Nonempty J] {s : Cotrident f} (hs : IsColimit s)
   ⟨hs.desc <| Cotrident.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'
 
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 /-- This is a slightly more convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s.pt ⟶ t.pt)
@@ -449,9 +344,6 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
     uniq := uniq }
 #align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mk
 
-/- warning: category_theory.limits.trident.is_limit.mk' -> CategoryTheory.Limits.Trident.IsLimit.mk' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -461,9 +353,6 @@ def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
     (create s).2.2 (w zero)
 #align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'
 
-/- warning: category_theory.limits.cotrident.is_colimit.mk -> CategoryTheory.Limits.Cotrident.IsColimit.mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mkₓ'. -/
 /-- This is a slightly more convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrident f, t.pt ⟶ s.pt)
@@ -479,9 +368,6 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
     uniq := uniq }
 #align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mk
 
-/- warning: category_theory.limits.cotrident.is_colimit.mk' -> CategoryTheory.Limits.Cotrident.IsColimit.mk' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk' CategoryTheory.Limits.Cotrident.IsColimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -510,9 +396,6 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
 #align category_theory.limits.trident.is_limit.hom_iso CategoryTheory.Limits.Trident.IsLimit.homIso
 -/
 
-/- warning: category_theory.limits.trident.is_limit.hom_iso_natural -> CategoryTheory.Limits.Trident.IsLimit.homIso_natural is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_naturalₓ'. -/
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
     (q : Z' ⟶ Z) (k : Z ⟶ t.pt) :
@@ -537,9 +420,6 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
 #align category_theory.limits.cotrident.is_colimit.hom_iso CategoryTheory.Limits.Cotrident.IsColimit.homIso
 -/
 
-/- warning: category_theory.limits.cotrident.is_colimit.hom_iso_natural -> CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_naturalₓ'. -/
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')
     (ht : IsColimit t) (k : t.pt ⟶ Z) :
@@ -548,12 +428,6 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
   (Category.assoc _ _ _).symm
 #align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTridentₓ'. -/
 /-- This is a helper construction that can be useful when verifying that a category has certain wide
     equalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a trident on `λ j, F.map (line j)`, we get a cone
@@ -570,12 +444,6 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
       naturality' := fun j j' g => by cases g <;> · dsimp; simp }
 #align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTrident
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotridentₓ'. -/
 /-- This is a helper construction that can be useful when verifying that a category has all
     coequalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a cotrident on `λ j, F.map (line j)` we get a
@@ -592,18 +460,12 @@ def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j
       naturality' := fun j j' g => by cases g <;> dsimp <;> simp [cotrident.app_one t] }
 #align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotrident
 
-/- warning: category_theory.limits.cone.of_trident_π -> CategoryTheory.Limits.Cone.ofTrident_π is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_πₓ'. -/
 @[simp]
 theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j))
     (j) : (Cone.ofTrident t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_π
 
-/- warning: category_theory.limits.cocone.of_cotrident_ι -> CategoryTheory.Limits.Cocone.ofCotrident_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ιₓ'. -/
 @[simp]
 theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
     (t : Cotrident fun j => F.map (line j)) (j) :
@@ -611,12 +473,6 @@ theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
   rfl
 #align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ι
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofConeₓ'. -/
 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))` and a cone on `F`, we get a trident on
     `λ j, F.map (line j)`. -/
@@ -626,12 +482,6 @@ def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fu
   π := { app := fun X => t.π.app X ≫ eqToHom (by tidy) }
 #align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofCone
 
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 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (F.map left) (F.map right)` and a cocone on `F`, we get a cotrident on
     `λ j, F.map (line j)`. -/
@@ -641,30 +491,18 @@ def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
   ι := { app := fun X => eqToHom (by tidy) ≫ t.ι.app X }
 #align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCocone
 
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 @[simp]
 theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
     (Trident.ofCone t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_π
 
-/- warning: category_theory.limits.cotrident.of_cocone_ι -> CategoryTheory.Limits.Cotrident.ofCocone_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ιₓ'. -/
 @[simp]
 theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) (j) :
     (Cotrident.ofCocone t).ι.app j = eqToHom (by tidy) ≫ t.ι.app j :=
   rfl
 #align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ι
 
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 /-- Helper function for constructing morphisms between wide equalizer tridents.
 -/
 @[simps]
@@ -677,12 +515,6 @@ def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt) (w : k ≫
     · simpa using w =≫ f (Classical.arbitrary J)
 #align category_theory.limits.trident.mk_hom CategoryTheory.Limits.Trident.mkHom
 
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 /-- To construct an isomorphism between tridents,
 it suffices to give an isomorphism between the cone points
 and check that it commutes with the `ι` morphisms.
@@ -694,9 +526,6 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.Hom 
   inv := Trident.mkHom i.inv (by rw [← w, iso.inv_hom_id_assoc])
 #align category_theory.limits.trident.ext CategoryTheory.Limits.Trident.ext
 
-/- warning: category_theory.limits.cotrident.mk_hom -> CategoryTheory.Limits.Cotrident.mkHom is a dubious translation:
-<too large>
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 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
 @[simps]
@@ -709,9 +538,6 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.
     · exact w
 #align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHom
 
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-<too large>
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 /-- To construct an isomorphism between cotridents,
 it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
@@ -762,20 +588,11 @@ abbrev wideEqualizer.trident : Trident f :=
 #align category_theory.limits.wide_equalizer.trident CategoryTheory.Limits.wideEqualizer.trident
 -/
 
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 @[simp]
 theorem wideEqualizer.trident_ι : (wideEqualizer.trident f).ι = wideEqualizer.ι f :=
   rfl
 #align category_theory.limits.wide_equalizer.trident_ι CategoryTheory.Limits.wideEqualizer.trident_ι
 
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 @[simp]
 theorem wideEqualizer.trident_π_app_zero :
     (wideEqualizer.trident f).π.app zero = wideEqualizer.ι f :=
@@ -848,12 +665,6 @@ section
 
 variable {f}
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.mono_of_is_limit_parallel_family CategoryTheory.Limits.mono_of_isLimit_parallelFamilyₓ'. -/
 /-- The wide equalizer morphism in any limit cone is a monomorphism. -/
 theorem mono_of_isLimit_parallelFamily [Nonempty J] {c : Cone (parallelFamily f)} (i : IsLimit c) :
     Mono (Trident.ι c) :=
@@ -899,20 +710,11 @@ abbrev wideCoequalizer.cotrident : Cotrident f :=
 #align category_theory.limits.wide_coequalizer.cotrident CategoryTheory.Limits.wideCoequalizer.cotrident
 -/
 
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 @[simp]
 theorem wideCoequalizer.cotrident_π : (wideCoequalizer.cotrident f).π = wideCoequalizer.π f :=
   rfl
 #align category_theory.limits.wide_coequalizer.cotrident_π CategoryTheory.Limits.wideCoequalizer.cotrident_π
 
-/- warning: category_theory.limits.wide_coequalizer.cotrident_ι_app_one -> CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_oneₓ'. -/
 @[simp]
 theorem wideCoequalizer.cotrident_ι_app_one :
     (wideCoequalizer.cotrident f).ι.app one = wideCoequalizer.π f :=
@@ -986,9 +788,6 @@ section
 
 variable {f}
 
-/- warning: category_theory.limits.epi_of_is_colimit_parallel_family -> CategoryTheory.Limits.epi_of_isColimit_parallelFamily is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.epi_of_is_colimit_parallel_family CategoryTheory.Limits.epi_of_isColimit_parallelFamilyₓ'. -/
 /-- The wide coequalizer morphism in any colimit cocone is an epimorphism. -/
 theorem epi_of_isColimit_parallelFamily [Nonempty J] {c : Cocone (parallelFamily f)}
     (i : IsColimit c) : Epi (c.ι.app one) :=

9d2f0748

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -140,10 +140,7 @@ def parallelFamily : WalkingParallelFamily J ⥤ C
     match x, y, h with
     | _, _, id _ => 𝟙 _
     | _, _, line j => f j
-  map_comp' := by
-    rintro _ _ _ ⟨⟩ ⟨⟩ <;>
-      · unfold_aux
-        simp <;> rfl
+  map_comp' := by rintro _ _ _ ⟨⟩ ⟨⟩ <;> · unfold_aux; simp <;> rfl
 #align category_theory.limits.parallel_family CategoryTheory.Limits.parallelFamily
 -/
 
@@ -570,10 +567,7 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
   pt := t.pt
   π :=
     { app := fun X => t.π.app X ≫ eqToHom (by tidy)
-      naturality' := fun j j' g => by
-        cases g <;>
-          · dsimp
-            simp }
+      naturality' := fun j j' g => by cases g <;> · dsimp; simp }
 #align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTrident
 
 /- warning: category_theory.limits.cocone.of_cotrident -> CategoryTheory.Limits.Cocone.ofCotrident is a dubious translation:

9d2f0748

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -278,10 +278,7 @@ theorem Cotrident.π_eq_app_one (t : Cotrident f) : t.π = t.ι.app one :=
 #align category_theory.limits.cotrident.π_eq_app_one CategoryTheory.Limits.Cotrident.π_eq_app_one
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zeroₓ'. -/
 @[simp, reassoc]
 theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.app one := by
@@ -289,10 +286,7 @@ theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.
 #align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zero
 
 /- warning: category_theory.limits.cotrident.app_one -> CategoryTheory.Limits.Cotrident.app_one is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_oneₓ'. -/
 @[simp, reassoc]
 theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.ι.app zero := by
@@ -359,10 +353,7 @@ theorem Cotrident.π_ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂
 #align category_theory.limits.cotrident.π_of_π CategoryTheory.Limits.Cotrident.π_ofπ
 
 /- warning: category_theory.limits.trident.condition -> CategoryTheory.Limits.Trident.condition is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.conditionₓ'. -/
 @[reassoc]
 theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.ι ≫ f j₂ := by
@@ -370,10 +361,7 @@ theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.
 #align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.condition
 
 /- warning: category_theory.limits.cotrident.condition -> CategoryTheory.Limits.Cotrident.condition is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.conditionₓ'. -/
 @[reassoc]
 theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π = f j₂ ≫ t.π := by
@@ -381,10 +369,7 @@ theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π
 #align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.condition
 
 /- warning: category_theory.limits.trident.equalizer_ext -> CategoryTheory.Limits.Trident.equalizer_ext is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_extₓ'. -/
 /-- To check whether two maps are equalized by both maps of a trident, it suffices to check it for
 the first map -/
@@ -395,10 +380,7 @@ theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶
 #align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_ext
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_extₓ'. -/
 /-- To check whether two maps are coequalized by both maps of a cotrident, it suffices to check it
 for the second map -/
@@ -420,10 +402,7 @@ theorem Trident.IsLimit.hom_ext [Nonempty J] {s : Trident f} (hs : IsLimit s) {W
 #align category_theory.limits.trident.is_limit.hom_ext CategoryTheory.Limits.Trident.IsLimit.hom_ext
 
 /- warning: category_theory.limits.cotrident.is_colimit.hom_ext -> CategoryTheory.Limits.Cotrident.IsColimit.hom_ext is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_extₓ'. -/
 theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C}
     {k l : s.pt ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
@@ -445,10 +424,7 @@ def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
 #align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cotrident over `f`, then a morphism `k : Y ⟶ W` satisfying
     `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism `l : s.X ⟶ W` such that
@@ -459,10 +435,7 @@ def Cotrident.IsColimit.desc' [Nonempty J] {s : Cotrident f} (hs : IsColimit s)
 #align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mkₓ'. -/
 /-- This is a slightly more convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
@@ -480,10 +453,7 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
 #align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mk
 
 /- warning: category_theory.limits.trident.is_limit.mk' -> CategoryTheory.Limits.Trident.IsLimit.mk' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
@@ -495,10 +465,7 @@ def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
 #align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'
 
 /- warning: category_theory.limits.cotrident.is_colimit.mk -> CategoryTheory.Limits.Cotrident.IsColimit.mk is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mkₓ'. -/
 /-- This is a slightly more convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content -/
@@ -516,10 +483,7 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
 #align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mk
 
 /- warning: category_theory.limits.cotrident.is_colimit.mk' -> CategoryTheory.Limits.Cotrident.IsColimit.mk' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk' CategoryTheory.Limits.Cotrident.IsColimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
@@ -550,10 +514,7 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
 -/
 
 /- warning: category_theory.limits.trident.is_limit.hom_iso_natural -> CategoryTheory.Limits.Trident.IsLimit.homIso_natural is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_naturalₓ'. -/
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
@@ -580,10 +541,7 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
 -/
 
 /- warning: category_theory.limits.cotrident.is_colimit.hom_iso_natural -> CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_naturalₓ'. -/
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')
@@ -641,10 +599,7 @@ def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j
 #align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotrident
 
 /- warning: category_theory.limits.cone.of_trident_π -> CategoryTheory.Limits.Cone.ofTrident_π is a dubious translation:
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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.4967)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_πₓ'. -/
 @[simp]
 theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j))
@@ -653,10 +608,7 @@ theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j
 #align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_π
 
 /- warning: category_theory.limits.cocone.of_cotrident_ι -> CategoryTheory.Limits.Cocone.ofCotrident_ι is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ιₓ'. -/
 @[simp]
 theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
@@ -696,10 +648,7 @@ def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
 #align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCocone
 
 /- warning: category_theory.limits.trident.of_cone_π -> CategoryTheory.Limits.Trident.ofCone_π is a dubious translation:
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(CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5656)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_πₓ'. -/
 @[simp]
 theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
@@ -708,10 +657,7 @@ theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
 #align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_π
 
 /- warning: category_theory.limits.cotrident.of_cocone_ι -> CategoryTheory.Limits.Cotrident.ofCocone_ι is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ιₓ'. -/
 @[simp]
 theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) (j) :
@@ -755,10 +701,7 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.Hom 
 #align category_theory.limits.trident.ext CategoryTheory.Limits.Trident.ext
 
 /- warning: category_theory.limits.cotrident.mk_hom -> CategoryTheory.Limits.Cotrident.mkHom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHomₓ'. -/
 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
@@ -773,10 +716,7 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.
 #align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHom
 
 /- warning: category_theory.limits.cotrident.ext -> CategoryTheory.Limits.Cotrident.ext is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.ext CategoryTheory.Limits.Cotrident.extₓ'. -/
 /-- To construct an isomorphism between cotridents,
 it suffices to give an isomorphism between the cocone points
@@ -840,10 +780,7 @@ theorem wideEqualizer.trident_ι : (wideEqualizer.trident f).ι = wideEqualizer.
 #align category_theory.limits.wide_equalizer.trident_ι CategoryTheory.Limits.wideEqualizer.trident_ι
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_equalizer.trident_π_app_zero CategoryTheory.Limits.wideEqualizer.trident_π_app_zeroₓ'. -/
 @[simp]
 theorem wideEqualizer.trident_π_app_zero :
@@ -980,10 +917,7 @@ theorem wideCoequalizer.cotrident_π : (wideCoequalizer.cotrident f).π = wideCo
 #align category_theory.limits.wide_coequalizer.cotrident_π CategoryTheory.Limits.wideCoequalizer.cotrident_π
 
 /- warning: category_theory.limits.wide_coequalizer.cotrident_ι_app_one -> CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_oneₓ'. -/
 @[simp]
 theorem wideCoequalizer.cotrident_ι_app_one :
@@ -1059,10 +993,7 @@ section
 variable {f}
 
 /- warning: category_theory.limits.epi_of_is_colimit_parallel_family -> CategoryTheory.Limits.epi_of_isColimit_parallelFamily is a dubious translation:
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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.epi_of_is_colimit_parallel_family CategoryTheory.Limits.epi_of_isColimit_parallelFamilyₓ'. -/
 /-- The wide coequalizer morphism in any colimit cocone is an epimorphism. -/
 theorem epi_of_isColimit_parallelFamily [Nonempty J] {c : Cocone (parallelFamily f)}

9d2f0748

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -283,7 +283,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (s : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f) (j : J), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) Y) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) Y (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.Cone.π.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (f j)) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.Cone.π.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zeroₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.app one := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zero
@@ -294,7 +294,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (s : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f) (j : J), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (f j) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_oneₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.ι.app zero := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_one
@@ -364,7 +364,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (j₁ : J) (j₂ : J) (t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) Y) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ 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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) Y (CategoryTheory.Limits.Trident.ι.{u1, u2, u3} J C _inst_1 X Y f t) (f j₁)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) Y (CategoryTheory.Limits.Trident.ι.{u1, u2, u3} J C _inst_1 X Y f t) (f j₂))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.conditionₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.ι ≫ f j₂ := by
   rw [t.app_zero, t.app_zero]
 #align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.condition
@@ -375,7 +375,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (j₁ : J) (j₂ : J) (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (f j₁) (CategoryTheory.Limits.Cotrident.π.{u1, u2, u3} J C _inst_1 X Y f t)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (f j₂) (CategoryTheory.Limits.Cotrident.π.{u1, u2, u3} J C _inst_1 X Y f t))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.conditionₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π = f j₂ ≫ t.π := by
   rw [t.app_one, t.app_one]
 #align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.condition
@@ -852,7 +852,7 @@ theorem wideEqualizer.trident_π_app_zero :
 #align category_theory.limits.wide_equalizer.trident_π_app_zero CategoryTheory.Limits.wideEqualizer.trident_π_app_zero
 
 #print CategoryTheory.Limits.wideEqualizer.condition /-
-@[reassoc.1]
+@[reassoc]
 theorem wideEqualizer.condition (j₁ j₂ : J) : wideEqualizer.ι f ≫ f j₁ = wideEqualizer.ι f ≫ f j₂ :=
   Trident.condition j₁ j₂ <| limit.cone <| parallelFamily f
 #align category_theory.limits.wide_equalizer.condition CategoryTheory.Limits.wideEqualizer.condition
@@ -878,7 +878,7 @@ abbrev wideEqualizer.lift [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂,
 -/
 
 #print CategoryTheory.Limits.wideEqualizer.lift_ι /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem wideEqualizer.lift_ι [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
     wideEqualizer.lift k h ≫ wideEqualizer.ι f = k :=
   limit.lift_π _ _
@@ -992,7 +992,7 @@ theorem wideCoequalizer.cotrident_ι_app_one :
 #align category_theory.limits.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one
 
 #print CategoryTheory.Limits.wideCoequalizer.condition /-
-@[reassoc.1]
+@[reassoc]
 theorem wideCoequalizer.condition (j₁ j₂ : J) :
     f j₁ ≫ wideCoequalizer.π f = f j₂ ≫ wideCoequalizer.π f :=
   Cotrident.condition j₁ j₂ <| colimit.cocone <| parallelFamily f
@@ -1019,7 +1019,7 @@ abbrev wideCoequalizer.desc [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j
 -/
 
 #print CategoryTheory.Limits.wideCoequalizer.π_desc /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem wideCoequalizer.π_desc [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
     wideCoequalizer.π f ≫ wideCoequalizer.desc k h = k :=
   colimit.ι_desc _ _

9d2f0748

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -553,7 +553,7 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
 lean 3 declaration is
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] {t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f} (ht : CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) {Z : C} {Z' : C} (q : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) Z' Z) (k : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) Z (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_naturalₓ'. -/
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
@@ -583,7 +583,7 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
 lean 3 declaration is
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u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₁) h) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₂) h))) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) Z) (Subtype.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) Y Z) (fun (h : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) Y Z) => forall (j₁ : J) (j₂ : J), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₁) h) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₂) h)))) (CategoryTheory.Limits.Cotrident.IsColimit.homIso.{u1, u2, u3} J C _inst_1 X Y f _inst_2 t ht Z) k)) q)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_naturalₓ'. -/
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')

9d2f0748

bump to nightly-2023-05-05-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

fdd4022f

Diff

@@ -644,7 +644,7 @@ def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j
 lean 3 declaration is
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 but is expected to have type
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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} 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+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) 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(CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))) j) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) j))) j (fun (h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.4966 : Eq.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) => Eq.ndrec.{0, succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (fun (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J) => Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} 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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))) j) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) j)) (of_eq_true 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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.4966)) (fun (h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.4967 : Eq.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) => Eq.ndrec.{0, succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (fun (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J) => Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C 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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.4967)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_πₓ'. -/
 @[simp]
 theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j))
@@ -656,7 +656,7 @@ theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j
 lean 3 declaration is
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(CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F j) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) 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 but is expected to have type
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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) t) j))
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) j) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ιₓ'. -/
 @[simp]
 theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
@@ -699,7 +699,7 @@ def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
 lean 3 declaration is
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) 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(CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) j)) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) 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 but is expected to have type
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(CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5657)) (fun (h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5658 : Eq.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) => Eq.ndrec.{0, succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (fun (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J) => Eq.{succ u3} C (Prefunctor.obj.{succ 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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} 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(CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5658)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))))
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) 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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))) j)) (of_eq_true (Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5656)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_πₓ'. -/
 @[simp]
 theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
@@ -711,7 +711,7 @@ theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
 lean 3 declaration is
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) j) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) (CategoryTheory.Limits.Cotrident.ofCocone.{u1, u2, u3} J C _inst_1 F t))) j)) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} 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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) 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 but is expected to have type
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+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} 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(CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5778)) (fun (h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5779 : Eq.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) => Eq.ndrec.{0, succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (fun (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} J) => Eq.{succ u3} C (Prefunctor.obj.{succ 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J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))) j) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) j)) (of_eq_true (Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (eq_self.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)))) j (Eq.symm.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) h._@.Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers._hyg.5779)) (Eq.refl.{succ u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) j))) (CategoryTheory.NatTrans.app.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F t)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F t) j))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ιₓ'. -/
 @[simp]
 theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) (j) :

9d2f0748

bump to nightly-2023-04-28-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

473bb540

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.limits.shapes.wide_equalizers
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Limits.Shapes.Equalizers
 /-!
 # Wide equalizers and wide coequalizers
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines wide (co)equalizers as special cases of (co)limits.
 
 A wide equalizer for the family of morphisms `X ⟶ Y` indexed by `J` is the categorical

70fd9563

bump to nightly-2023-04-25-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/2651125b48fc5c170ab1111afd0817c903b1fc6c

c15cbbfd

Diff

@@ -59,11 +59,13 @@ universe w v u u₂
 
 variable {J : Type w}
 
+#print CategoryTheory.Limits.WalkingParallelFamily /-
 /-- The type of objects for the diagram indexing a wide (co)equalizer. -/
 inductive WalkingParallelFamily (J : Type w) : Type w
   | zero : walking_parallel_family
   | one : walking_parallel_family
 #align category_theory.limits.walking_parallel_family CategoryTheory.Limits.WalkingParallelFamily
+-/
 
 open WalkingParallelFamily
 
@@ -76,6 +78,7 @@ instance : DecidableEq (WalkingParallelFamily J)
 instance : Inhabited (WalkingParallelFamily J) :=
   ⟨zero⟩
 
+#print CategoryTheory.Limits.WalkingParallelFamily.Hom /-
 /-- The type family of morphisms for the diagram indexing a wide (co)equalizer. -/
 inductive WalkingParallelFamily.Hom (J : Type w) :
   WalkingParallelFamily J → WalkingParallelFamily J → Type w
@@ -83,12 +86,14 @@ inductive WalkingParallelFamily.Hom (J : Type w) :
   | line : ∀ j : J, walking_parallel_family.hom zero one
   deriving DecidableEq
 #align category_theory.limits.walking_parallel_family.hom CategoryTheory.Limits.WalkingParallelFamily.Hom
+-/
 
 /-- Satisfying the inhabited linter -/
 instance (J : Type v) : Inhabited (WalkingParallelFamily.Hom J zero zero) where default := Hom.id _
 
 open WalkingParallelFamily.Hom
 
+#print CategoryTheory.Limits.WalkingParallelFamily.Hom.comp /-
 /-- Composition of morphisms in the indexing diagram for wide (co)equalizers. -/
 def WalkingParallelFamily.Hom.comp :
     ∀ (X Y Z : WalkingParallelFamily J) (f : WalkingParallelFamily.Hom J X Y)
@@ -96,26 +101,32 @@ def WalkingParallelFamily.Hom.comp :
   | _, _, _, id _, h => h
   | _, _, _, line j, id one => line j
 #align category_theory.limits.walking_parallel_family.hom.comp CategoryTheory.Limits.WalkingParallelFamily.Hom.comp
+-/
 
 attribute [local tidy] tactic.case_bash
 
+#print CategoryTheory.Limits.WalkingParallelFamily.category /-
 instance WalkingParallelFamily.category : SmallCategory (WalkingParallelFamily J)
     where
   Hom := WalkingParallelFamily.Hom J
   id := WalkingParallelFamily.Hom.id
   comp := WalkingParallelFamily.Hom.comp
 #align category_theory.limits.walking_parallel_family.category CategoryTheory.Limits.WalkingParallelFamily.category
+-/
 
+#print CategoryTheory.Limits.WalkingParallelFamily.hom_id /-
 @[simp]
 theorem WalkingParallelFamily.hom_id (X : WalkingParallelFamily J) :
     WalkingParallelFamily.Hom.id X = 𝟙 X :=
   rfl
 #align category_theory.limits.walking_parallel_family.hom_id CategoryTheory.Limits.WalkingParallelFamily.hom_id
+-/
 
 variable {C : Type u} [Category.{v} C]
 
 variable {X Y : C} (f : J → (X ⟶ Y))
 
+#print CategoryTheory.Limits.parallelFamily /-
 /-- `parallel_family f` is the diagram in `C` consisting of the given family of morphisms, each with
 common domain and codomain.
 -/
@@ -131,22 +142,47 @@ def parallelFamily : WalkingParallelFamily J ⥤ C
       · unfold_aux
         simp <;> rfl
 #align category_theory.limits.parallel_family CategoryTheory.Limits.parallelFamily
+-/
 
+/- warning: category_theory.limits.parallel_family_obj_zero -> CategoryTheory.Limits.parallelFamily_obj_zero is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)), Eq.{succ u3} C (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) X
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) X
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.parallel_family_obj_zero CategoryTheory.Limits.parallelFamily_obj_zeroₓ'. -/
 @[simp]
 theorem parallelFamily_obj_zero : (parallelFamily f).obj zero = X :=
   rfl
 #align category_theory.limits.parallel_family_obj_zero CategoryTheory.Limits.parallelFamily_obj_zero
 
+/- warning: category_theory.limits.parallel_family_obj_one -> CategoryTheory.Limits.parallelFamily_obj_one is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)), Eq.{succ u3} C (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) Y
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)), Eq.{succ u3} C (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) Y
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.parallel_family_obj_one CategoryTheory.Limits.parallelFamily_obj_oneₓ'. -/
 @[simp]
 theorem parallelFamily_obj_one : (parallelFamily f).obj one = Y :=
   rfl
 #align category_theory.limits.parallel_family_obj_one CategoryTheory.Limits.parallelFamily_obj_one
 
+/- warning: category_theory.limits.parallel_family_map_left -> CategoryTheory.Limits.parallelFamily_map_left is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)) {j : 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)) (f j)
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} (f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)) {j : J}, 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) (Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)) (f j)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.parallel_family_map_left CategoryTheory.Limits.parallelFamily_map_leftₓ'. -/
 @[simp]
 theorem parallelFamily_map_left {j : J} : (parallelFamily f).map (line j) = f j :=
   rfl
 #align category_theory.limits.parallel_family_map_left CategoryTheory.Limits.parallelFamily_map_left
 
+/- warning: category_theory.limits.diagram_iso_parallel_family -> CategoryTheory.Limits.diagramIsoParallelFamily is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1), CategoryTheory.Iso.{max u1 u2, max u1 u2 u1 u3} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) F (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] (F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1), CategoryTheory.Iso.{max u2 u1, max (max u3 u2) u1} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) F (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.diagram_iso_parallel_family CategoryTheory.Limits.diagramIsoParallelFamilyₓ'. -/
 /-- Every functor indexing a wide (co)equalizer is naturally isomorphic (actually, equal) to a
     `parallel_family` -/
 @[simps]
@@ -155,6 +191,12 @@ def diagramIsoParallelFamily (F : WalkingParallelFamily J ⥤ C) :
   (NatIso.ofComponents fun j => eqToIso <| by cases j <;> tidy) <| by tidy
 #align category_theory.limits.diagram_iso_parallel_family CategoryTheory.Limits.diagramIsoParallelFamily
 
+/- warning: category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair -> CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Equivalence.{u1, 0, u1, 0} (CategoryTheory.Limits.WalkingParallelFamily.{u1} (ULift.{u1, 0} Bool)) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory
+but is expected to have type
+  CategoryTheory.Equivalence.{u1, 0, u1, 0} (CategoryTheory.Limits.WalkingParallelFamily.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} (ULift.{u1, 0} Bool)) CategoryTheory.Limits.walkingParallelPairHomCategory
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPairₓ'. -/
 /-- `walking_parallel_pair` as a category is equivalent to a special case of
 `walking_parallel_family`.  -/
 @[simps]
@@ -168,18 +210,28 @@ def walkingParallelFamilyEquivWalkingParallelPair :
   counitIso := NatIso.ofComponents (fun X => eqToIso (by cases X <;> rfl)) (by tidy)
 #align category_theory.limits.walking_parallel_family_equiv_walking_parallel_pair CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair
 
+#print CategoryTheory.Limits.Trident /-
 /-- A trident on `f` is just a `cone (parallel_family f)`. -/
 abbrev Trident :=
   Cone (parallelFamily f)
 #align category_theory.limits.trident CategoryTheory.Limits.Trident
+-/
 
+#print CategoryTheory.Limits.Cotrident /-
 /-- A cotrident on `f` and `g` is just a `cocone (parallel_family f)`. -/
 abbrev Cotrident :=
   Cocone (parallelFamily f)
 #align category_theory.limits.cotrident CategoryTheory.Limits.Cotrident
+-/
 
 variable {f}
 
+/- warning: category_theory.limits.trident.ι -> CategoryTheory.Limits.Trident.ι is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f), 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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.ι CategoryTheory.Limits.Trident.ιₓ'. -/
 /-- A trident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.π.app zero : t.X ⟶ X` and `t.π.app one : t.X ⟶ Y`. Of these, only the first one is
     interesting, and we give it the shorter name `trident.ι t`. -/
@@ -187,6 +239,12 @@ abbrev Trident.ι (t : Trident f) :=
   t.π.app zero
 #align category_theory.limits.trident.ι CategoryTheory.Limits.Trident.ι
 
+/- warning: category_theory.limits.cotrident.π -> CategoryTheory.Limits.Cotrident.π is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.π CategoryTheory.Limits.Cotrident.πₓ'. -/
 /-- A cotrident `t` on the parallel family `f : J → (X ⟶ Y)` consists of two morphisms
     `t.ι.app zero : X ⟶ t.X` and `t.ι.app one : Y ⟶ t.X`. Of these, only the second one is
     interesting, and we give it the shorter name `cotrident.π t`. -/
@@ -194,26 +252,51 @@ abbrev Cotrident.π (t : Cotrident f) :=
   t.ι.app one
 #align category_theory.limits.cotrident.π CategoryTheory.Limits.Cotrident.π
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.ι_eq_app_zero CategoryTheory.Limits.Trident.ι_eq_app_zeroₓ'. -/
 @[simp]
 theorem Trident.ι_eq_app_zero (t : Trident f) : t.ι = t.π.app zero :=
   rfl
 #align category_theory.limits.trident.ι_eq_app_zero CategoryTheory.Limits.Trident.ι_eq_app_zero
 
+/- warning: category_theory.limits.cotrident.π_eq_app_one -> CategoryTheory.Limits.Cotrident.π_eq_app_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.π_eq_app_one CategoryTheory.Limits.Cotrident.π_eq_app_oneₓ'. -/
 @[simp]
 theorem Cotrident.π_eq_app_one (t : Cotrident f) : t.π = t.ι.app one :=
   rfl
 #align category_theory.limits.cotrident.π_eq_app_one CategoryTheory.Limits.Cotrident.π_eq_app_one
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zeroₓ'. -/
 @[simp, reassoc.1]
 theorem Trident.app_zero (s : Trident f) (j : J) : s.π.app zero ≫ f j = s.π.app one := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.trident.app_zero CategoryTheory.Limits.Trident.app_zero
 
+/- warning: category_theory.limits.cotrident.app_one -> CategoryTheory.Limits.Cotrident.app_one 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.cotrident.app_one CategoryTheory.Limits.Cotrident.app_oneₓ'. -/
 @[simp, reassoc.1]
 theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.ι.app zero := by
   rw [← s.w (line j), parallel_family_map_left]
 #align category_theory.limits.cotrident.app_one CategoryTheory.Limits.Cotrident.app_one
 
+#print CategoryTheory.Limits.Trident.ofι /-
 /-- A trident on `f : J → (X ⟶ Y)` is determined by the morphism `ι : P ⟶ X` satisfying
 `∀ j₁ j₂, ι ≫ f j₁ = ι ≫ f j₂`.
 -/
@@ -229,7 +312,9 @@ def Trident.ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫
         · simp
         · simp [w (Classical.arbitrary J) k] }
 #align category_theory.limits.trident.of_ι CategoryTheory.Limits.Trident.ofι
+-/
 
+#print CategoryTheory.Limits.Cotrident.ofπ /-
 /-- A cotrident on `f : J → (X ⟶ Y)` is determined by the morphism `π : Y ⟶ P` satisfying
 `∀ j₁ j₂, f j₁ ≫ π = f j₂ ≫ π`.
 -/
@@ -245,28 +330,59 @@ def Cotrident.ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j
         · simp
         · simp [w (Classical.arbitrary J) k] }
 #align category_theory.limits.cotrident.of_π CategoryTheory.Limits.Cotrident.ofπ
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.ι_of_ι CategoryTheory.Limits.Trident.ι_ofιₓ'. -/
 -- See note [dsimp, simp]
 theorem Trident.ι_ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫ f j₁ = ι ≫ f j₂) :
     (Trident.ofι ι w).ι = ι :=
   rfl
 #align category_theory.limits.trident.ι_of_ι CategoryTheory.Limits.Trident.ι_ofι
 
+/- warning: category_theory.limits.cotrident.π_of_π -> CategoryTheory.Limits.Cotrident.π_ofπ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.π_of_π CategoryTheory.Limits.Cotrident.π_ofπₓ'. -/
 theorem Cotrident.π_ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j₁ ≫ π = f j₂ ≫ π) :
     (Cotrident.ofπ π w).π = π :=
   rfl
 #align category_theory.limits.cotrident.π_of_π CategoryTheory.Limits.Cotrident.π_ofπ
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.conditionₓ'. -/
 @[reassoc.1]
 theorem Trident.condition (j₁ j₂ : J) (t : Trident f) : t.ι ≫ f j₁ = t.ι ≫ f j₂ := by
   rw [t.app_zero, t.app_zero]
 #align category_theory.limits.trident.condition CategoryTheory.Limits.Trident.condition
 
+/- warning: category_theory.limits.cotrident.condition -> CategoryTheory.Limits.Cotrident.condition is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.conditionₓ'. -/
 @[reassoc.1]
 theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π = f j₂ ≫ t.π := by
   rw [t.app_one, t.app_one]
 #align category_theory.limits.cotrident.condition CategoryTheory.Limits.Cotrident.condition
 
+/- warning: category_theory.limits.trident.equalizer_ext -> CategoryTheory.Limits.Trident.equalizer_ext is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_extₓ'. -/
 /-- To check whether two maps are equalized by both maps of a trident, it suffices to check it for
 the first map -/
 theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶ s.pt}
@@ -275,6 +391,12 @@ theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶
   | one => by rw [← s.app_zero (Classical.arbitrary J), reassoc_of h]
 #align category_theory.limits.trident.equalizer_ext CategoryTheory.Limits.Trident.equalizer_ext
 
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+but is expected to have type
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u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) j) l))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_extₓ'. -/
 /-- To check whether two maps are coequalized by both maps of a cotrident, it suffices to check it
 for the second map -/
 theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l : s.pt ⟶ W}
@@ -283,16 +405,34 @@ theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l :
   | one => h
 #align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_ext
 
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 theorem Trident.IsLimit.hom_ext [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
     {k l : W ⟶ s.pt} (h : k ≫ s.ι = l ≫ s.ι) : k = l :=
   hs.hom_ext <| Trident.equalizer_ext _ h
 #align category_theory.limits.trident.is_limit.hom_ext CategoryTheory.Limits.Trident.IsLimit.hom_ext
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_extₓ'. -/
 theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C}
     {k l : s.pt ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
   hs.hom_ext <| Cotrident.coequalizer_ext _ h
 #align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_ext
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'ₓ'. -/
 /-- If `s` is a limit trident over `f`, then a morphism `k : W ⟶ X` satisfying
     `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` induces a morphism `l : W ⟶ s.X` such that
     `l ≫ trident.ι s = k`. -/
@@ -301,6 +441,12 @@ def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
   ⟨hs.lift <| Trident.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'
 
+/- warning: category_theory.limits.cotrident.is_colimit.desc' -> CategoryTheory.Limits.Cotrident.IsColimit.desc' 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.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cotrident over `f`, then a morphism `k : Y ⟶ W` satisfying
     `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism `l : s.X ⟶ W` such that
     `cotrident.π s ≫ l = k`. -/
@@ -309,6 +455,12 @@ def Cotrident.IsColimit.desc' [Nonempty J] {s : Cotrident f} (hs : IsColimit s)
   ⟨hs.desc <| Cotrident.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'
 
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+but is expected to have type
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_inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) 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.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)) m (lift s))) -> (CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mkₓ'. -/
 /-- This is a slightly more convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s.pt ⟶ t.pt)
@@ -324,6 +476,12 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
     uniq := uniq }
 #align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mk
 
+/- warning: category_theory.limits.trident.is_limit.mk' -> CategoryTheory.Limits.Trident.IsLimit.mk' is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))) m l)))) -> (CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] (t : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f), (forall (s : CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 X Y f), Subtype.{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.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C 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(CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J))) m l)))) -> (CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -333,6 +491,12 @@ def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
     (create s).2.2 (w zero)
 #align category_theory.limits.trident.is_limit.mk' CategoryTheory.Limits.Trident.IsLimit.mk'
 
+/- warning: category_theory.limits.cotrident.is_colimit.mk -> CategoryTheory.Limits.Cotrident.IsColimit.mk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f) (desc : forall (s : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mkₓ'. -/
 /-- This is a slightly more convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content -/
 def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrident f, t.pt ⟶ s.pt)
@@ -348,6 +512,12 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
     uniq := uniq }
 #align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mk
 
+/- warning: category_theory.limits.cotrident.is_colimit.mk' -> CategoryTheory.Limits.Cotrident.IsColimit.mk' is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), (forall (s : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), Subtype.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (fun (l : Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) => And (Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} 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J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} 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(CategoryTheory.Limits.Cotrident.π.{u1, u2, u3} J C _inst_1 X Y f s)) -> (Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) 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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) s)) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J))) m l)))) -> (CategoryTheory.Limits.IsColimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t)
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] (t : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), (forall (s : CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f), Subtype.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.mk' CategoryTheory.Limits.Cotrident.IsColimit.mk'ₓ'. -/
 /-- This is another convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
@@ -359,6 +529,7 @@ def Cotrident.IsColimit.mk' [Nonempty J] (t : Cotrident f)
     (create s).2.2 (w one)
 #align category_theory.limits.cotrident.is_colimit.mk' CategoryTheory.Limits.Cotrident.IsColimit.mk'
 
+#print CategoryTheory.Limits.Trident.IsLimit.homIso /-
 /--
 Given a limit cone for the family `f : J → (X ⟶ Y)`, for any `Z`, morphisms from `Z` to its point
 are in bijection with morphisms `h : Z ⟶ X` such that `∀ j₁ j₂, h ≫ f j₁ = h ≫ f j₂`.
@@ -373,7 +544,14 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
   left_inv k := Trident.IsLimit.hom_ext ht (Trident.IsLimit.lift' _ _ _).Prop
   right_inv h := Subtype.ext (Trident.IsLimit.lift' ht _ _).Prop
 #align category_theory.limits.trident.is_limit.hom_iso CategoryTheory.Limits.Trident.IsLimit.homIso
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_naturalₓ'. -/
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
     (q : Z' ⟶ Z) (k : Z ⟶ t.pt) :
@@ -381,6 +559,7 @@ theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimi
   Category.assoc _ _ _
 #align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_natural
 
+#print CategoryTheory.Limits.Cotrident.IsColimit.homIso /-
 /-- Given a colimit cocone for the family `f : J → (X ⟶ Y)`, for any `Z`, morphisms from the cocone
 point to `Z` are in bijection with morphisms `h : Z ⟶ X` such that
 `∀ j₁ j₂, f j₁ ≫ h = f j₂ ≫ h`.  Further, this bijection is natural in `Z`: see
@@ -395,7 +574,14 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
   left_inv k := Cotrident.IsColimit.hom_ext ht (Cotrident.IsColimit.desc' _ _ _).Prop
   right_inv h := Subtype.ext (Cotrident.IsColimit.desc' ht _ _).Prop
 #align category_theory.limits.cotrident.is_colimit.hom_iso CategoryTheory.Limits.Cotrident.IsColimit.homIso
+-/
 
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J), Eq.{succ u2} (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₁) h) (CategoryTheory.CategoryStruct.comp.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1) X Y Z (f j₂) h)))) (CategoryTheory.Limits.Cotrident.IsColimit.homIso.{u1, u2, u3} J C _inst_1 X Y f _inst_2 t ht Z) k)) q)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_naturalₓ'. -/
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')
     (ht : IsColimit t) (k : t.pt ⟶ Z) :
@@ -404,6 +590,12 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
   (Category.assoc _ _ _).symm
 #align category_theory.limits.cotrident.is_colimit.hom_iso_natural CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural
 
+/- warning: category_theory.limits.cone.of_trident -> CategoryTheory.Limits.Cone.ofTrident is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) -> (CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F)
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) -> (CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTridentₓ'. -/
 /-- This is a helper construction that can be useful when verifying that a category has certain wide
     equalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a trident on `λ j, F.map (line j)`, we get a cone
@@ -423,6 +615,12 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
             simp }
 #align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTrident
 
+/- warning: category_theory.limits.cocone.of_cotrident -> CategoryTheory.Limits.Cocone.ofCotrident is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) -> (CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F)
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) -> (CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotridentₓ'. -/
 /-- This is a helper construction that can be useful when verifying that a category has all
     coequalizers. Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))`, and a cotrident on `λ j, F.map (line j)` we get a
@@ -439,12 +637,24 @@ def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j
       naturality' := fun j j' g => by cases g <;> dsimp <;> simp [cotrident.app_one t] }
 #align category_theory.limits.cocone.of_cotrident CategoryTheory.Limits.Cocone.ofCotrident
 
+/- warning: category_theory.limits.cone.of_trident_π -> CategoryTheory.Limits.Cone.ofTrident_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.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_πₓ'. -/
 @[simp]
 theorem Cone.ofTrident_π {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j))
     (j) : (Cone.ofTrident t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.cone.of_trident_π CategoryTheory.Limits.Cone.ofTrident_π
 
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(CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) t)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j))) t) j))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ιₓ'. -/
 @[simp]
 theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
     (t : Cotrident fun j => F.map (line j)) (j) :
@@ -452,6 +662,12 @@ theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
   rfl
 #align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ι
 
+/- warning: category_theory.limits.trident.of_cone -> CategoryTheory.Limits.Trident.ofCone is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) -> (CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) -> (CategoryTheory.Limits.Trident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofConeₓ'. -/
 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (λ j, F.map (line j))` and a cone on `F`, we get a trident on
     `λ j, F.map (line j)`. -/
@@ -461,6 +677,12 @@ def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fu
   π := { app := fun X => t.π.app X ≫ eqToHom (by tidy) }
 #align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofCone
 
+/- warning: category_theory.limits.cotrident.of_cocone -> CategoryTheory.Limits.Cotrident.ofCocone is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) -> (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => CategoryTheory.Functor.map.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1}, (CategoryTheory.Limits.Cocone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) -> (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J)) (fun (j : J) => Prefunctor.map.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.one.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.Hom.line.{u1} J j)))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCoconeₓ'. -/
 /-- Given `F : walking_parallel_family ⥤ C`, which is really the same as
     `parallel_family (F.map left) (F.map right)` and a cocone on `F`, we get a cotrident on
     `λ j, F.map (line j)`. -/
@@ -470,18 +692,36 @@ def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
   ι := { app := fun X => eqToHom (by tidy) ≫ t.ι.app X }
 #align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCocone
 
+/- warning: category_theory.limits.trident.of_cone_π -> CategoryTheory.Limits.Trident.ofCone_π is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {F : CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1} (t : CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F) (j : CategoryTheory.Limits.WalkingParallelFamily.{u1} 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.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_πₓ'. -/
 @[simp]
 theorem Trident.ofCone_π {F : WalkingParallelFamily J ⥤ C} (t : Cone F) (j) :
     (Trident.ofCone t).π.app j = t.π.app j ≫ eqToHom (by tidy) :=
   rfl
 #align category_theory.limits.trident.of_cone_π CategoryTheory.Limits.Trident.ofCone_π
 
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(CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cocone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F t)) (CategoryTheory.Limits.Cocone.ι.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 F t) j))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ιₓ'. -/
 @[simp]
 theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) (j) :
     (Cotrident.ofCocone t).ι.app j = eqToHom (by tidy) ≫ t.ι.app j :=
   rfl
 #align category_theory.limits.cotrident.of_cocone_ι CategoryTheory.Limits.Cotrident.ofCocone_ι
 
+/- warning: category_theory.limits.trident.mk_hom -> CategoryTheory.Limits.Trident.mkHom 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.trident.mk_hom CategoryTheory.Limits.Trident.mkHomₓ'. -/
 /-- Helper function for constructing morphisms between wide equalizer tridents.
 -/
 @[simps]
@@ -494,6 +734,12 @@ def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt) (w : k ≫
     · simpa using w =≫ f (Classical.arbitrary J)
 #align category_theory.limits.trident.mk_hom CategoryTheory.Limits.Trident.mkHom
 
+/- warning: category_theory.limits.trident.ext -> CategoryTheory.Limits.Trident.ext 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.trident.ext CategoryTheory.Limits.Trident.extₓ'. -/
 /-- To construct an isomorphism between tridents,
 it suffices to give an isomorphism between the cone points
 and check that it commutes with the `ι` morphisms.
@@ -505,6 +751,12 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.Hom 
   inv := Trident.mkHom i.inv (by rw [← w, iso.inv_hom_id_assoc])
 #align category_theory.limits.trident.ext CategoryTheory.Limits.Trident.ext
 
+/- warning: category_theory.limits.cotrident.mk_hom -> CategoryTheory.Limits.Cotrident.mkHom is a dubious translation:
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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) t) (CategoryTheory.Limits.Cotrident.π.{u1, u2, u3} J C _inst_1 X Y f s) k) (CategoryTheory.Limits.Cotrident.π.{u1, u2, u3} J C _inst_1 X Y f t)) -> (Quiver.Hom.{succ u2, max (max u3 u2) u1} (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.CategoryStruct.toQuiver.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Category.toCategoryStruct.{u2, max (max u3 u2) u1} (CategoryTheory.Limits.Cotrident.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.Cocone.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)))) s t)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHomₓ'. -/
 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
 @[simps]
@@ -517,6 +769,12 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.
     · exact w
 #align category_theory.limits.cotrident.mk_hom CategoryTheory.Limits.Cotrident.mkHom
 
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(CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) s t)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cotrident.ext CategoryTheory.Limits.Cotrident.extₓ'. -/
 /-- To construct an isomorphism between cotridents,
 it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
@@ -531,6 +789,7 @@ variable (f)
 
 section
 
+#print CategoryTheory.Limits.HasWideEqualizer /-
 /--
 `has_wide_equalizer f` represents a particular choice of limiting cone for the parallel family of
 morphisms `f`.
@@ -538,71 +797,101 @@ morphisms `f`.
 abbrev HasWideEqualizer :=
   HasLimit (parallelFamily f)
 #align category_theory.limits.has_wide_equalizer CategoryTheory.Limits.HasWideEqualizer
+-/
 
 variable [HasWideEqualizer f]
 
+#print CategoryTheory.Limits.wideEqualizer /-
 /-- If a wide equalizer of `f` exists, we can access an arbitrary choice of such by
     saying `wide_equalizer f`. -/
 abbrev wideEqualizer : C :=
   limit (parallelFamily f)
 #align category_theory.limits.wide_equalizer CategoryTheory.Limits.wideEqualizer
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.ι /-
 /-- If a wide equalizer of `f` exists, we can access the inclusion `wide_equalizer f ⟶ X` by
     saying `wide_equalizer.ι f`. -/
 abbrev wideEqualizer.ι : wideEqualizer f ⟶ X :=
   limit.π (parallelFamily f) zero
 #align category_theory.limits.wide_equalizer.ι CategoryTheory.Limits.wideEqualizer.ι
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.trident /-
 /-- A wide equalizer cone for a parallel family `f`.
 -/
 abbrev wideEqualizer.trident : Trident f :=
   limit.cone (parallelFamily f)
 #align category_theory.limits.wide_equalizer.trident CategoryTheory.Limits.wideEqualizer.trident
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_equalizer.trident_ι CategoryTheory.Limits.wideEqualizer.trident_ιₓ'. -/
 @[simp]
 theorem wideEqualizer.trident_ι : (wideEqualizer.trident f).ι = wideEqualizer.ι f :=
   rfl
 #align category_theory.limits.wide_equalizer.trident_ι CategoryTheory.Limits.wideEqualizer.trident_ι
 
+/- warning: category_theory.limits.wide_equalizer.trident_π_app_zero -> CategoryTheory.Limits.wideEqualizer.trident_π_app_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_equalizer.trident_π_app_zero CategoryTheory.Limits.wideEqualizer.trident_π_app_zeroₓ'. -/
 @[simp]
 theorem wideEqualizer.trident_π_app_zero :
     (wideEqualizer.trident f).π.app zero = wideEqualizer.ι f :=
   rfl
 #align category_theory.limits.wide_equalizer.trident_π_app_zero CategoryTheory.Limits.wideEqualizer.trident_π_app_zero
 
+#print CategoryTheory.Limits.wideEqualizer.condition /-
 @[reassoc.1]
 theorem wideEqualizer.condition (j₁ j₂ : J) : wideEqualizer.ι f ≫ f j₁ = wideEqualizer.ι f ≫ f j₂ :=
   Trident.condition j₁ j₂ <| limit.cone <| parallelFamily f
 #align category_theory.limits.wide_equalizer.condition CategoryTheory.Limits.wideEqualizer.condition
+-/
 
+#print CategoryTheory.Limits.wideEqualizerIsWideEqualizer /-
 /-- The wide_equalizer built from `wide_equalizer.ι f` is limiting. -/
 def wideEqualizerIsWideEqualizer [Nonempty J] :
     IsLimit (Trident.ofι (wideEqualizer.ι f) (wideEqualizer.condition f)) :=
   IsLimit.ofIsoLimit (limit.isLimit _) (Trident.ext (Iso.refl _) (by tidy))
 #align category_theory.limits.wide_equalizer_is_wide_equalizer CategoryTheory.Limits.wideEqualizerIsWideEqualizer
+-/
 
 variable {f}
 
+#print CategoryTheory.Limits.wideEqualizer.lift /-
 /-- A morphism `k : W ⟶ X` satisfying `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` factors through the
     wide equalizer of `f` via `wide_equalizer.lift : W ⟶ wide_equalizer f`. -/
 abbrev wideEqualizer.lift [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
     W ⟶ wideEqualizer f :=
   limit.lift (parallelFamily f) (Trident.ofι k h)
 #align category_theory.limits.wide_equalizer.lift CategoryTheory.Limits.wideEqualizer.lift
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.lift_ι /-
 @[simp, reassoc.1]
 theorem wideEqualizer.lift_ι [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
     wideEqualizer.lift k h ≫ wideEqualizer.ι f = k :=
   limit.lift_π _ _
 #align category_theory.limits.wide_equalizer.lift_ι CategoryTheory.Limits.wideEqualizer.lift_ι
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.lift' /-
 /-- A morphism `k : W ⟶ X` satisfying `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` induces a morphism
     `l : W ⟶ wide_equalizer f` satisfying `l ≫ wide_equalizer.ι f = k`. -/
 def wideEqualizer.lift' [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
     { l : W ⟶ wideEqualizer f // l ≫ wideEqualizer.ι f = k } :=
   ⟨wideEqualizer.lift k h, wideEqualizer.lift_ι _ _⟩
 #align category_theory.limits.wide_equalizer.lift' CategoryTheory.Limits.wideEqualizer.lift'
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.hom_ext /-
 /-- Two maps into a wide equalizer are equal if they are are equal when composed with the wide
     equalizer map. -/
 @[ext]
@@ -610,11 +899,14 @@ theorem wideEqualizer.hom_ext [Nonempty J] {W : C} {k l : W ⟶ wideEqualizer f}
     (h : k ≫ wideEqualizer.ι f = l ≫ wideEqualizer.ι f) : k = l :=
   Trident.IsLimit.hom_ext (limit.isLimit _) h
 #align category_theory.limits.wide_equalizer.hom_ext CategoryTheory.Limits.wideEqualizer.hom_ext
+-/
 
+#print CategoryTheory.Limits.wideEqualizer.ι_mono /-
 /-- A wide equalizer morphism is a monomorphism -/
 instance wideEqualizer.ι_mono [Nonempty J] : Mono (wideEqualizer.ι f)
     where right_cancellation Z h k w := wideEqualizer.hom_ext w
 #align category_theory.limits.wide_equalizer.ι_mono CategoryTheory.Limits.wideEqualizer.ι_mono
+-/
 
 end
 
@@ -622,6 +914,12 @@ section
 
 variable {f}
 
+/- warning: category_theory.limits.mono_of_is_limit_parallel_family -> CategoryTheory.Limits.mono_of_isLimit_parallelFamily is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] {c : CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)}, (CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c) -> (CategoryTheory.Mono.{u2, u3} C _inst_1 (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Functor.obj.{u2, max u1 u2, u3, max u1 u2 u1 u3} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Functor.obj.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Limits.Trident.ι.{u1, u2, u3} J C _inst_1 X Y f c))
+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} C] {X : C} {Y : C} {f : J -> (Quiver.Hom.{succ u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) X Y)} [_inst_2 : Nonempty.{succ u1} J] {c : CategoryTheory.Limits.Cone.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)}, (CategoryTheory.Limits.IsLimit.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c) -> (CategoryTheory.Mono.{u2, u3} C _inst_1 (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (Prefunctor.obj.{succ u2, max (succ u1) (succ u2), u3, max (max u1 u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Category.toCategoryStruct.{max u1 u2, max (max u1 u3) u2} (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u2, max u1 u2, u3, max (max u1 u3) u2} C _inst_1 (CategoryTheory.Functor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.category.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1) (CategoryTheory.Functor.const.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1)) (CategoryTheory.Limits.Cone.pt.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f) c))) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (Prefunctor.obj.{succ u1, succ u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u3} C (CategoryTheory.Category.toCategoryStruct.{u2, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u1, u3} (CategoryTheory.Limits.WalkingParallelFamily.{u1} J) (CategoryTheory.Limits.WalkingParallelFamily.category.{u1} J) C _inst_1 (CategoryTheory.Limits.parallelFamily.{u1, u2, u3} J C _inst_1 X Y f)) (CategoryTheory.Limits.WalkingParallelFamily.zero.{u1} J)) (CategoryTheory.Limits.Trident.ι.{u1, u2, u3} J C _inst_1 X Y f c))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.mono_of_is_limit_parallel_family CategoryTheory.Limits.mono_of_isLimit_parallelFamilyₓ'. -/
 /-- The wide equalizer morphism in any limit cone is a monomorphism. -/
 theorem mono_of_isLimit_parallelFamily [Nonempty J] {c : Cone (parallelFamily f)} (i : IsLimit c) :
     Mono (Trident.ι c) :=
@@ -632,78 +930,109 @@ end
 
 section
 
+#print CategoryTheory.Limits.HasWideCoequalizer /-
 /-- `has_wide_coequalizer f g` represents a particular choice of colimiting cocone
 for the parallel family of morphisms `f`.
 -/
 abbrev HasWideCoequalizer :=
   HasColimit (parallelFamily f)
 #align category_theory.limits.has_wide_coequalizer CategoryTheory.Limits.HasWideCoequalizer
+-/
 
 variable [HasWideCoequalizer f]
 
+#print CategoryTheory.Limits.wideCoequalizer /-
 /-- If a wide coequalizer of `f`, we can access an arbitrary choice of such by
     saying `wide_coequalizer f`. -/
 abbrev wideCoequalizer : C :=
   colimit (parallelFamily f)
 #align category_theory.limits.wide_coequalizer CategoryTheory.Limits.wideCoequalizer
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.π /-
 /-- If a wide_coequalizer of `f` exists, we can access the corresponding projection by
     saying `wide_coequalizer.π f`. -/
 abbrev wideCoequalizer.π : Y ⟶ wideCoequalizer f :=
   colimit.ι (parallelFamily f) one
 #align category_theory.limits.wide_coequalizer.π CategoryTheory.Limits.wideCoequalizer.π
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.cotrident /-
 /-- An arbitrary choice of coequalizer cocone for a parallel family `f`.
 -/
 abbrev wideCoequalizer.cotrident : Cotrident f :=
   colimit.cocone (parallelFamily f)
 #align category_theory.limits.wide_coequalizer.cotrident CategoryTheory.Limits.wideCoequalizer.cotrident
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.wide_coequalizer.cotrident_π CategoryTheory.Limits.wideCoequalizer.cotrident_πₓ'. -/
 @[simp]
 theorem wideCoequalizer.cotrident_π : (wideCoequalizer.cotrident f).π = wideCoequalizer.π f :=
   rfl
 #align category_theory.limits.wide_coequalizer.cotrident_π CategoryTheory.Limits.wideCoequalizer.cotrident_π
 
+/- warning: category_theory.limits.wide_coequalizer.cotrident_ι_app_one -> CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one 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.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_oneₓ'. -/
 @[simp]
 theorem wideCoequalizer.cotrident_ι_app_one :
     (wideCoequalizer.cotrident f).ι.app one = wideCoequalizer.π f :=
   rfl
 #align category_theory.limits.wide_coequalizer.cotrident_ι_app_one CategoryTheory.Limits.wideCoequalizer.cotrident_ι_app_one
 
+#print CategoryTheory.Limits.wideCoequalizer.condition /-
 @[reassoc.1]
 theorem wideCoequalizer.condition (j₁ j₂ : J) :
     f j₁ ≫ wideCoequalizer.π f = f j₂ ≫ wideCoequalizer.π f :=
   Cotrident.condition j₁ j₂ <| colimit.cocone <| parallelFamily f
 #align category_theory.limits.wide_coequalizer.condition CategoryTheory.Limits.wideCoequalizer.condition
+-/
 
+#print CategoryTheory.Limits.wideCoequalizerIsWideCoequalizer /-
 /-- The cotrident built from `wide_coequalizer.π f` is colimiting. -/
 def wideCoequalizerIsWideCoequalizer [Nonempty J] :
     IsColimit (Cotrident.ofπ (wideCoequalizer.π f) (wideCoequalizer.condition f)) :=
   IsColimit.ofIsoColimit (colimit.isColimit _) (Cotrident.ext (Iso.refl _) (by tidy))
 #align category_theory.limits.wide_coequalizer_is_wide_coequalizer CategoryTheory.Limits.wideCoequalizerIsWideCoequalizer
+-/
 
 variable {f}
 
+#print CategoryTheory.Limits.wideCoequalizer.desc /-
 /-- Any morphism `k : Y ⟶ W` satisfying `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` factors through the
     wide coequalizer of `f` via `wide_coequalizer.desc : wide_coequalizer f ⟶ W`. -/
 abbrev wideCoequalizer.desc [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
     wideCoequalizer f ⟶ W :=
   colimit.desc (parallelFamily f) (Cotrident.ofπ k h)
 #align category_theory.limits.wide_coequalizer.desc CategoryTheory.Limits.wideCoequalizer.desc
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.π_desc /-
 @[simp, reassoc.1]
 theorem wideCoequalizer.π_desc [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
     wideCoequalizer.π f ≫ wideCoequalizer.desc k h = k :=
   colimit.ι_desc _ _
 #align category_theory.limits.wide_coequalizer.π_desc CategoryTheory.Limits.wideCoequalizer.π_desc
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.desc' /-
 /-- Any morphism `k : Y ⟶ W` satisfying `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism
     `l : wide_coequalizer f ⟶ W` satisfying `wide_coequalizer.π ≫ g = l`. -/
 def wideCoequalizer.desc' [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
     { l : wideCoequalizer f ⟶ W // wideCoequalizer.π f ≫ l = k } :=
   ⟨wideCoequalizer.desc k h, wideCoequalizer.π_desc _ _⟩
 #align category_theory.limits.wide_coequalizer.desc' CategoryTheory.Limits.wideCoequalizer.desc'
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.hom_ext /-
 /-- Two maps from a wide coequalizer are equal if they are equal when composed with the wide
     coequalizer map -/
 @[ext]
@@ -711,11 +1040,14 @@ theorem wideCoequalizer.hom_ext [Nonempty J] {W : C} {k l : wideCoequalizer f 
     (h : wideCoequalizer.π f ≫ k = wideCoequalizer.π f ≫ l) : k = l :=
   Cotrident.IsColimit.hom_ext (colimit.isColimit _) h
 #align category_theory.limits.wide_coequalizer.hom_ext CategoryTheory.Limits.wideCoequalizer.hom_ext
+-/
 
+#print CategoryTheory.Limits.wideCoequalizer.π_epi /-
 /-- A wide coequalizer morphism is an epimorphism -/
 instance wideCoequalizer.π_epi [Nonempty J] : Epi (wideCoequalizer.π f)
     where left_cancellation Z h k w := wideCoequalizer.hom_ext w
 #align category_theory.limits.wide_coequalizer.π_epi CategoryTheory.Limits.wideCoequalizer.π_epi
+-/
 
 end
 
@@ -723,6 +1055,12 @@ section
 
 variable {f}
 
+/- warning: category_theory.limits.epi_of_is_colimit_parallel_family -> CategoryTheory.Limits.epi_of_isColimit_parallelFamily 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.epi_of_is_colimit_parallel_family CategoryTheory.Limits.epi_of_isColimit_parallelFamilyₓ'. -/
 /-- The wide coequalizer morphism in any colimit cocone is an epimorphism. -/
 theorem epi_of_isColimit_parallelFamily [Nonempty J] {c : Cocone (parallelFamily f)}
     (i : IsColimit c) : Epi (c.ι.app one) :=
@@ -733,39 +1071,51 @@ end
 
 variable (C)
 
+#print CategoryTheory.Limits.HasWideEqualizers /-
 /-- `has_wide_equalizers` represents a choice of wide equalizer for every family of morphisms -/
 abbrev HasWideEqualizers :=
   ∀ J, HasLimitsOfShape (WalkingParallelFamily.{w} J) C
 #align category_theory.limits.has_wide_equalizers CategoryTheory.Limits.HasWideEqualizers
+-/
 
+#print CategoryTheory.Limits.HasWideCoequalizers /-
 /-- `has_wide_coequalizers` represents a choice of wide coequalizer for every family of morphisms -/
 abbrev HasWideCoequalizers :=
   ∀ J, HasColimitsOfShape (WalkingParallelFamily.{w} J) C
 #align category_theory.limits.has_wide_coequalizers CategoryTheory.Limits.HasWideCoequalizers
+-/
 
+#print CategoryTheory.Limits.hasWideEqualizers_of_hasLimit_parallelFamily /-
 /-- If `C` has all limits of diagrams `parallel_family f`, then it has all wide equalizers -/
 theorem hasWideEqualizers_of_hasLimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasLimit (parallelFamily f)] :
     HasWideEqualizers.{w} C := fun J =>
   { HasLimit := fun F => hasLimitOfIso (diagramIsoParallelFamily F).symm }
 #align category_theory.limits.has_wide_equalizers_of_has_limit_parallel_family CategoryTheory.Limits.hasWideEqualizers_of_hasLimit_parallelFamily
+-/
 
+#print CategoryTheory.Limits.hasWideCoequalizers_of_hasColimit_parallelFamily /-
 /-- If `C` has all colimits of diagrams `parallel_family f`, then it has all wide coequalizers -/
 theorem hasWideCoequalizers_of_hasColimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasColimit (parallelFamily f)] :
     HasWideCoequalizers.{w} C := fun J =>
   { HasColimit := fun F => hasColimitOfIso (diagramIsoParallelFamily F) }
 #align category_theory.limits.has_wide_coequalizers_of_has_colimit_parallel_family CategoryTheory.Limits.hasWideCoequalizers_of_hasColimit_parallelFamily
+-/
 
+#print CategoryTheory.Limits.hasEqualizers_of_hasWideEqualizers /-
 instance (priority := 10) hasEqualizers_of_hasWideEqualizers [HasWideEqualizers.{w} C] :
     HasEqualizers C :=
   hasLimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_equalizers_of_has_wide_equalizers CategoryTheory.Limits.hasEqualizers_of_hasWideEqualizers
+-/
 
+#print CategoryTheory.Limits.hasCoequalizers_of_hasWideCoequalizers /-
 instance (priority := 10) hasCoequalizers_of_hasWideCoequalizers [HasWideCoequalizers.{w} C] :
     HasCoequalizers C :=
   hasColimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_coequalizers_of_has_wide_coequalizers CategoryTheory.Limits.hasCoequalizers_of_hasWideCoequalizers
+-/
 
 end CategoryTheory.Limits

70fd9563

bump to nightly-2023-03-11-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

1d00e3b6

Diff

@@ -759,7 +759,7 @@ theorem hasWideCoequalizers_of_hasColimit_parallelFamily
 
 instance (priority := 10) hasEqualizers_of_hasWideEqualizers [HasWideEqualizers.{w} C] :
     HasEqualizers C :=
-  hasLimitsOfShapeOfEquivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
+  hasLimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_equalizers_of_has_wide_equalizers CategoryTheory.Limits.hasEqualizers_of_hasWideEqualizers
 
 instance (priority := 10) hasCoequalizers_of_hasWideCoequalizers [HasWideCoequalizers.{w} C] :

70fd9563

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -220,7 +220,7 @@ theorem Cotrident.app_one (s : Cotrident f) (j : J) : f j ≫ s.ι.app one = s.
 @[simps]
 def Trident.ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫ f j₁ = ι ≫ f j₂) : Trident f
     where
-  x := P
+  pt := P
   π :=
     { app := fun X => WalkingParallelFamily.casesOn X ι (ι ≫ f (Classical.arbitrary J))
       naturality' := fun i j f => by
@@ -236,7 +236,7 @@ def Trident.ofι [Nonempty J] {P : C} (ι : P ⟶ X) (w : ∀ j₁ j₂, ι ≫
 @[simps]
 def Cotrident.ofπ [Nonempty J] {P : C} (π : Y ⟶ P) (w : ∀ j₁ j₂, f j₁ ≫ π = f j₂ ≫ π) : Cotrident f
     where
-  x := P
+  pt := P
   ι :=
     { app := fun X => WalkingParallelFamily.casesOn X (f (Classical.arbitrary J) ≫ π) π
       naturality' := fun i j f => by
@@ -269,7 +269,7 @@ theorem Cotrident.condition (j₁ j₂ : J) (t : Cotrident f) : f j₁ ≫ t.π
 
 /-- To check whether two maps are equalized by both maps of a trident, it suffices to check it for
 the first map -/
-theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶ s.x}
+theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶ s.pt}
     (h : k ≫ s.ι = l ≫ s.ι) : ∀ j : WalkingParallelFamily J, k ≫ s.π.app j = l ≫ s.π.app j
   | zero => h
   | one => by rw [← s.app_zero (Classical.arbitrary J), reassoc_of h]
@@ -277,19 +277,19 @@ theorem Trident.equalizer_ext [Nonempty J] (s : Trident f) {W : C} {k l : W ⟶
 
 /-- To check whether two maps are coequalized by both maps of a cotrident, it suffices to check it
 for the second map -/
-theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l : s.x ⟶ W}
+theorem Cotrident.coequalizer_ext [Nonempty J] (s : Cotrident f) {W : C} {k l : s.pt ⟶ W}
     (h : s.π ≫ k = s.π ≫ l) : ∀ j : WalkingParallelFamily J, s.ι.app j ≫ k = s.ι.app j ≫ l
   | zero => by rw [← s.app_one (Classical.arbitrary J), category.assoc, category.assoc, h]
   | one => h
 #align category_theory.limits.cotrident.coequalizer_ext CategoryTheory.Limits.Cotrident.coequalizer_ext
 
 theorem Trident.IsLimit.hom_ext [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
-    {k l : W ⟶ s.x} (h : k ≫ s.ι = l ≫ s.ι) : k = l :=
+    {k l : W ⟶ s.pt} (h : k ≫ s.ι = l ≫ s.ι) : k = l :=
   hs.hom_ext <| Trident.equalizer_ext _ h
 #align category_theory.limits.trident.is_limit.hom_ext CategoryTheory.Limits.Trident.IsLimit.hom_ext
 
 theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C}
-    {k l : s.x ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
+    {k l : s.pt ⟶ W} (h : s.π ≫ k = s.π ≫ l) : k = l :=
   hs.hom_ext <| Cotrident.coequalizer_ext _ h
 #align category_theory.limits.cotrident.is_colimit.hom_ext CategoryTheory.Limits.Cotrident.IsColimit.hom_ext
 
@@ -297,7 +297,7 @@ theorem Cotrident.IsColimit.hom_ext [Nonempty J] {s : Cotrident f} (hs : IsColim
     `∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂` induces a morphism `l : W ⟶ s.X` such that
     `l ≫ trident.ι s = k`. -/
 def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
-    (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) : { l : W ⟶ s.x // l ≫ Trident.ι s = k } :=
+    (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) : { l : W ⟶ s.pt // l ≫ Trident.ι s = k } :=
   ⟨hs.lift <| Trident.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.trident.is_limit.lift' CategoryTheory.Limits.Trident.IsLimit.lift'
 
@@ -305,16 +305,16 @@ def Trident.IsLimit.lift' [Nonempty J] {s : Trident f} (hs : IsLimit s) {W : C}
     `∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k` induces a morphism `l : s.X ⟶ W` such that
     `cotrident.π s ≫ l = k`. -/
 def Cotrident.IsColimit.desc' [Nonempty J] {s : Cotrident f} (hs : IsColimit s) {W : C} (k : Y ⟶ W)
-    (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) : { l : s.x ⟶ W // Cotrident.π s ≫ l = k } :=
+    (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) : { l : s.pt ⟶ W // Cotrident.π s ≫ l = k } :=
   ⟨hs.desc <| Cotrident.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cotrident.is_colimit.desc' CategoryTheory.Limits.Cotrident.IsColimit.desc'
 
 /-- This is a slightly more convenient method to verify that a trident is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
-def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s.x ⟶ t.x)
+def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s.pt ⟶ t.pt)
     (fac : ∀ s : Trident f, lift s ≫ t.ι = s.ι)
     (uniq :
-      ∀ (s : Trident f) (m : s.x ⟶ t.x)
+      ∀ (s : Trident f) (m : s.pt ⟶ t.pt)
         (w : ∀ j : WalkingParallelFamily J, m ≫ t.π.app j = s.π.app j), m = lift s) :
     IsLimit t :=
   { lift
@@ -335,10 +335,10 @@ def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
 
 /-- This is a slightly more convenient method to verify that a cotrident is a colimit cocone. It
     only asks for a proof of facts that carry any mathematical content -/
-def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrident f, t.x ⟶ s.x)
+def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrident f, t.pt ⟶ s.pt)
     (fac : ∀ s : Cotrident f, t.π ≫ desc s = s.π)
     (uniq :
-      ∀ (s : Cotrident f) (m : t.x ⟶ s.x)
+      ∀ (s : Cotrident f) (m : t.pt ⟶ s.pt)
         (w : ∀ j : WalkingParallelFamily J, t.ι.app j ≫ m = s.ι.app j), m = desc s) :
     IsColimit t :=
   { desc
@@ -353,7 +353,7 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
     same `s` for all parts. -/
 def Cotrident.IsColimit.mk' [Nonempty J] (t : Cotrident f)
     (create :
-      ∀ s : Cotrident f, { l : t.x ⟶ s.x // t.π ≫ l = s.π ∧ ∀ {m}, t.π ≫ m = s.π → m = l }) :
+      ∀ s : Cotrident f, { l : t.pt ⟶ s.pt // t.π ≫ l = s.π ∧ ∀ {m}, t.π ≫ m = s.π → m = l }) :
     IsColimit t :=
   Cotrident.IsColimit.mk t (fun s => (create s).1) (fun s => (create s).2.1) fun s m w =>
     (create s).2.2 (w one)
@@ -366,7 +366,7 @@ Further, this bijection is natural in `Z`: see `trident.is_limit.hom_iso_natural
 -/
 @[simps]
 def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C) :
-    (Z ⟶ t.x) ≃ { h : Z ⟶ X // ∀ j₁ j₂, h ≫ f j₁ = h ≫ f j₂ }
+    (Z ⟶ t.pt) ≃ { h : Z ⟶ X // ∀ j₁ j₂, h ≫ f j₁ = h ≫ f j₂ }
     where
   toFun k := ⟨k ≫ t.ι, by simp⟩
   invFun h := (Trident.IsLimit.lift' ht _ h.Prop).1
@@ -376,7 +376,7 @@ def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C)
 
 /-- The bijection of `trident.is_limit.hom_iso` is natural in `Z`. -/
 theorem Trident.IsLimit.homIso_natural [Nonempty J] {t : Trident f} (ht : IsLimit t) {Z Z' : C}
-    (q : Z' ⟶ Z) (k : Z ⟶ t.x) :
+    (q : Z' ⟶ Z) (k : Z ⟶ t.pt) :
     (Trident.IsLimit.homIso ht _ (q ≫ k) : Z' ⟶ X) = q ≫ (Trident.IsLimit.homIso ht _ k : Z ⟶ X) :=
   Category.assoc _ _ _
 #align category_theory.limits.trident.is_limit.hom_iso_natural CategoryTheory.Limits.Trident.IsLimit.homIso_natural
@@ -388,7 +388,7 @@ point to `Z` are in bijection with morphisms `h : Z ⟶ X` such that
 -/
 @[simps]
 def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t) (Z : C) :
-    (t.x ⟶ Z) ≃ { h : Y ⟶ Z // ∀ j₁ j₂, f j₁ ≫ h = f j₂ ≫ h }
+    (t.pt ⟶ Z) ≃ { h : Y ⟶ Z // ∀ j₁ j₂, f j₁ ≫ h = f j₂ ≫ h }
     where
   toFun k := ⟨t.π ≫ k, by simp⟩
   invFun h := (Cotrident.IsColimit.desc' ht _ h.Prop).1
@@ -398,7 +398,7 @@ def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t)
 
 /-- The bijection of `cotrident.is_colimit.hom_iso` is natural in `Z`. -/
 theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z' : C} (q : Z ⟶ Z')
-    (ht : IsColimit t) (k : t.x ⟶ Z) :
+    (ht : IsColimit t) (k : t.pt ⟶ Z) :
     (Cotrident.IsColimit.homIso ht _ (k ≫ q) : Y ⟶ Z') =
       (Cotrident.IsColimit.homIso ht _ k : Y ⟶ Z) ≫ q :=
   (Category.assoc _ _ _).symm
@@ -414,7 +414,7 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
     achieving your goal. -/
 def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.map (line j)) : Cone F
     where
-  x := t.x
+  pt := t.pt
   π :=
     { app := fun X => t.π.app X ≫ eqToHom (by tidy)
       naturality' := fun j j' g => by
@@ -433,7 +433,7 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
     of achieving your goal. -/
 def Cocone.ofCotrident {F : WalkingParallelFamily J ⥤ C} (t : Cotrident fun j => F.map (line j)) :
     Cocone F where
-  x := t.x
+  pt := t.pt
   ι :=
     { app := fun X => eqToHom (by tidy) ≫ t.ι.app X
       naturality' := fun j j' g => by cases g <;> dsimp <;> simp [cotrident.app_one t] }
@@ -457,7 +457,7 @@ theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
     `λ j, F.map (line j)`. -/
 def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fun j => F.map (line j)
     where
-  x := t.x
+  pt := t.pt
   π := { app := fun X => t.π.app X ≫ eqToHom (by tidy) }
 #align category_theory.limits.trident.of_cone CategoryTheory.Limits.Trident.ofCone
 
@@ -466,7 +466,7 @@ def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fu
     `λ j, F.map (line j)`. -/
 def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
     Cotrident fun j => F.map (line j) where
-  x := t.x
+  pt := t.pt
   ι := { app := fun X => eqToHom (by tidy) ≫ t.ι.app X }
 #align category_theory.limits.cotrident.of_cocone CategoryTheory.Limits.Cotrident.ofCocone
 
@@ -485,7 +485,7 @@ theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F)
 /-- Helper function for constructing morphisms between wide equalizer tridents.
 -/
 @[simps]
-def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.x ⟶ t.x) (w : k ≫ t.ι = s.ι) : s ⟶ t
+def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt) (w : k ≫ t.ι = s.ι) : s ⟶ t
     where
   Hom := k
   w' := by
@@ -499,7 +499,7 @@ it suffices to give an isomorphism between the cone points
 and check that it commutes with the `ι` morphisms.
 -/
 @[simps]
-def Trident.ext [Nonempty J] {s t : Trident f} (i : s.x ≅ t.x) (w : i.Hom ≫ t.ι = s.ι) : s ≅ t
+def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.Hom ≫ t.ι = s.ι) : s ≅ t
     where
   Hom := Trident.mkHom i.Hom w
   inv := Trident.mkHom i.inv (by rw [← w, iso.inv_hom_id_assoc])
@@ -508,7 +508,7 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.x ≅ t.x) (w : i.Hom ≫
 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
 @[simps]
-def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.x ⟶ t.x) (w : s.π ≫ k = t.π) : s ⟶ t
+def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.π ≫ k = t.π) : s ⟶ t
     where
   Hom := k
   w' := by
@@ -521,7 +521,7 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.x ⟶ t.x) (w : s.π
 it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
 -/
-def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.x ≅ t.x) (w : s.π ≫ i.Hom = t.π) : s ≅ t
+def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.pt ≅ t.pt) (w : s.π ≫ i.Hom = t.π) : s ≅ t
     where
   Hom := Cotrident.mkHom i.Hom w
   inv := Cotrident.mkHom i.inv (by rw [iso.comp_inv_eq, w])
@@ -556,7 +556,7 @@ abbrev wideEqualizer.ι : wideEqualizer f ⟶ X :=
 /-- A wide equalizer cone for a parallel family `f`.
 -/
 abbrev wideEqualizer.trident : Trident f :=
-  Limit.cone (parallelFamily f)
+  limit.cone (parallelFamily f)
 #align category_theory.limits.wide_equalizer.trident CategoryTheory.Limits.wideEqualizer.trident
 
 @[simp]
@@ -572,7 +572,7 @@ theorem wideEqualizer.trident_π_app_zero :
 
 @[reassoc.1]
 theorem wideEqualizer.condition (j₁ j₂ : J) : wideEqualizer.ι f ≫ f j₁ = wideEqualizer.ι f ≫ f j₂ :=
-  Trident.condition j₁ j₂ <| Limit.cone <| parallelFamily f
+  Trident.condition j₁ j₂ <| limit.cone <| parallelFamily f
 #align category_theory.limits.wide_equalizer.condition CategoryTheory.Limits.wideEqualizer.condition
 
 /-- The wide_equalizer built from `wide_equalizer.ι f` is limiting. -/
@@ -656,7 +656,7 @@ abbrev wideCoequalizer.π : Y ⟶ wideCoequalizer f :=
 /-- An arbitrary choice of coequalizer cocone for a parallel family `f`.
 -/
 abbrev wideCoequalizer.cotrident : Cotrident f :=
-  Colimit.cocone (parallelFamily f)
+  colimit.cocone (parallelFamily f)
 #align category_theory.limits.wide_coequalizer.cotrident CategoryTheory.Limits.wideCoequalizer.cotrident
 
 @[simp]
@@ -673,7 +673,7 @@ theorem wideCoequalizer.cotrident_ι_app_one :
 @[reassoc.1]
 theorem wideCoequalizer.condition (j₁ j₂ : J) :
     f j₁ ≫ wideCoequalizer.π f = f j₂ ≫ wideCoequalizer.π f :=
-  Cotrident.condition j₁ j₂ <| Colimit.cocone <| parallelFamily f
+  Cotrident.condition j₁ j₂ <| colimit.cocone <| parallelFamily f
 #align category_theory.limits.wide_coequalizer.condition CategoryTheory.Limits.wideCoequalizer.condition
 
 /-- The cotrident built from `wide_coequalizer.π f` is colimiting. -/
@@ -747,19 +747,19 @@ abbrev HasWideCoequalizers :=
 theorem hasWideEqualizers_of_hasLimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasLimit (parallelFamily f)] :
     HasWideEqualizers.{w} C := fun J =>
-  { HasLimit := fun F => hasLimit_of_iso (diagramIsoParallelFamily F).symm }
+  { HasLimit := fun F => hasLimitOfIso (diagramIsoParallelFamily F).symm }
 #align category_theory.limits.has_wide_equalizers_of_has_limit_parallel_family CategoryTheory.Limits.hasWideEqualizers_of_hasLimit_parallelFamily
 
 /-- If `C` has all colimits of diagrams `parallel_family f`, then it has all wide coequalizers -/
 theorem hasWideCoequalizers_of_hasColimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasColimit (parallelFamily f)] :
     HasWideCoequalizers.{w} C := fun J =>
-  { HasColimit := fun F => hasColimit_of_iso (diagramIsoParallelFamily F) }
+  { HasColimit := fun F => hasColimitOfIso (diagramIsoParallelFamily F) }
 #align category_theory.limits.has_wide_coequalizers_of_has_colimit_parallel_family CategoryTheory.Limits.hasWideCoequalizers_of_hasColimit_parallelFamily
 
 instance (priority := 10) hasEqualizers_of_hasWideEqualizers [HasWideEqualizers.{w} C] :
     HasEqualizers C :=
-  hasLimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
+  hasLimitsOfShapeOfEquivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_equalizers_of_has_wide_equalizers CategoryTheory.Limits.hasEqualizers_of_hasWideEqualizers
 
 instance (priority := 10) hasCoequalizers_of_hasWideCoequalizers [HasWideCoequalizers.{w} C] :

70fd9563

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -318,10 +318,10 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
         (w : ∀ j : WalkingParallelFamily J, m ≫ t.π.app j = s.π.app j), m = lift s) :
     IsLimit t :=
   { lift
-    fac' := fun s j =>
+    fac := fun s j =>
       WalkingParallelFamily.casesOn j (fac s)
         (by rw [← t.w (line (Classical.arbitrary J)), reassoc_of fac, s.w])
-    uniq' := uniq }
+    uniq := uniq }
 #align category_theory.limits.trident.is_limit.mk CategoryTheory.Limits.Trident.IsLimit.mk
 
 /-- This is another convenient method to verify that a trident is a limit cone. It
@@ -342,10 +342,10 @@ def Cotrident.IsColimit.mk [Nonempty J] (t : Cotrident f) (desc : ∀ s : Cotrid
         (w : ∀ j : WalkingParallelFamily J, t.ι.app j ≫ m = s.ι.app j), m = desc s) :
     IsColimit t :=
   { desc
-    fac' := fun s j =>
+    fac := fun s j =>
       WalkingParallelFamily.casesOn j (by rw [← t.w_assoc (line (Classical.arbitrary J)), fac, s.w])
         (fac s)
-    uniq' := uniq }
+    uniq := uniq }
 #align category_theory.limits.cotrident.is_colimit.mk CategoryTheory.Limits.Cotrident.IsColimit.mk
 
 /-- This is another convenient method to verify that a cotrident is a colimit cocone. It
@@ -747,24 +747,24 @@ abbrev HasWideCoequalizers :=
 theorem hasWideEqualizers_of_hasLimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasLimit (parallelFamily f)] :
     HasWideEqualizers.{w} C := fun J =>
-  { HasLimit := fun F => hasLimitOfIso (diagramIsoParallelFamily F).symm }
+  { HasLimit := fun F => hasLimit_of_iso (diagramIsoParallelFamily F).symm }
 #align category_theory.limits.has_wide_equalizers_of_has_limit_parallel_family CategoryTheory.Limits.hasWideEqualizers_of_hasLimit_parallelFamily
 
 /-- If `C` has all colimits of diagrams `parallel_family f`, then it has all wide coequalizers -/
 theorem hasWideCoequalizers_of_hasColimit_parallelFamily
     [∀ {J : Type w} {X Y : C} {f : J → (X ⟶ Y)}, HasColimit (parallelFamily f)] :
     HasWideCoequalizers.{w} C := fun J =>
-  { HasColimit := fun F => hasColimitOfIso (diagramIsoParallelFamily F) }
+  { HasColimit := fun F => hasColimit_of_iso (diagramIsoParallelFamily F) }
 #align category_theory.limits.has_wide_coequalizers_of_has_colimit_parallel_family CategoryTheory.Limits.hasWideCoequalizers_of_hasColimit_parallelFamily
 
 instance (priority := 10) hasEqualizers_of_hasWideEqualizers [HasWideEqualizers.{w} C] :
     HasEqualizers C :=
-  hasLimitsOfShapeOfEquivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
+  hasLimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_equalizers_of_has_wide_equalizers CategoryTheory.Limits.hasEqualizers_of_hasWideEqualizers
 
 instance (priority := 10) hasCoequalizers_of_hasWideCoequalizers [HasWideCoequalizers.{w} C] :
     HasCoequalizers C :=
-  hasColimitsOfShapeOfEquivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
+  hasColimitsOfShape_of_equivalence.{w} walkingParallelFamilyEquivWalkingParallelPair
 #align category_theory.limits.has_coequalizers_of_has_wide_coequalizers CategoryTheory.Limits.hasCoequalizers_of_hasWideCoequalizers
 
 end CategoryTheory.Limits

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(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -117,7 +117,6 @@ theorem WalkingParallelFamily.hom_id (X : WalkingParallelFamily J) :
   CategoryTheory.Limits.WalkingParallelFamily.hom_id
 
 variable {C : Type u} [Category.{v} C]
-
 variable {X Y : C} (f : J → (X ⟶ Y))
 
 /-- `parallelFamily f` is the diagram in `C` consisting of the given family of morphisms, each with

70fd9563

chore: replace remaining lambda syntax (#11405)

Includes some doc comments and real code: this is exhaustive, with two exceptions:

some files are handled in #11409 instead
I left FunProp/{ToStd,RefinedDiscTree}.lean, Tactic/NormNum and Tactic/Simps alone, as these seem likely enough to end up in std.

Follow-up to #11301, much shorter this time.

f0f609c6

Diff

@@ -429,7 +429,7 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
 
 /-- This is a helper construction that can be useful when verifying that a category has certain wide
     equalizers. Given `F : WalkingParallelFamily ⥤ C`, which is really the same as
-    `parallelFamily (λ j, F.map (line j))`, and a trident on `fun j ↦ F.map (line j)`,
+    `parallelFamily (fun j ↦ F.map (line j))`, and a trident on `fun j ↦ F.map (line j)`,
     we get a cone on `F`.
 
     If you're thinking about using this, have a look at

70fd9563

chore: replace Lean 3 syntax λ x, in doc comments (#10727)

Use Lean 4 syntax fun x ↦ instead, matching the style guide. This is close to exhaustive for doc comments; mathlib has about 460 remaining uses of λ (not all in Lean 3 syntax).

4a99b7e2

Diff

@@ -429,8 +429,8 @@ theorem Cotrident.IsColimit.homIso_natural [Nonempty J] {t : Cotrident f} {Z Z'
 
 /-- This is a helper construction that can be useful when verifying that a category has certain wide
     equalizers. Given `F : WalkingParallelFamily ⥤ C`, which is really the same as
-    `parallelFamily (λ j, F.map (line j))`, and a trident on `λ j, F.map (line j)`, we get a cone
-    on `F`.
+    `parallelFamily (λ j, F.map (line j))`, and a trident on `fun j ↦ F.map (line j)`,
+    we get a cone on `F`.
 
     If you're thinking about using this, have a look at
     `hasWideEqualizers_of_hasLimit_parallelFamily`, which you may find to be an easier way of

70fd9563

chore(*): use α → β instead of ∀ _ : α, β (#9529)

5618e431

Diff

@@ -75,7 +75,7 @@ instance : Inhabited (WalkingParallelFamily J) :=
 inductive WalkingParallelFamily.Hom (J : Type w) :
   WalkingParallelFamily J → WalkingParallelFamily J → Type w
   | id : ∀ X : WalkingParallelFamily.{w} J, WalkingParallelFamily.Hom J X X
-  | line : ∀ _ : J, WalkingParallelFamily.Hom J zero one
+  | line : J → WalkingParallelFamily.Hom J zero one
   deriving DecidableEq
 #align
   category_theory.limits.walking_parallel_family.hom

70fd9563

chore: exactly 4 spaces in theorems (#7328)

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

d3263b23

Diff

@@ -345,7 +345,7 @@ def Trident.IsLimit.mk [Nonempty J] (t : Trident f) (lift : ∀ s : Trident f, s
     only asks for a proof of facts that carry any mathematical content, and allows access to the
     same `s` for all parts. -/
 def Trident.IsLimit.mk' [Nonempty J] (t : Trident f)
-  (create : ∀ s : Trident f, { l // l ≫ t.ι = s.ι ∧ ∀ {m}, m ≫ t.ι = s.ι → m = l }) :
+    (create : ∀ s : Trident f, { l // l ≫ t.ι = s.ι ∧ ∀ {m}, m ≫ t.ι = s.ι → m = l }) :
     IsLimit t :=
   Trident.IsLimit.mk t (fun s => (create s).1) (fun s => (create s).2.1) fun s _ w =>
     (create s).2.2 (w zero)
@@ -546,7 +546,7 @@ it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
 -/
 def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.pt ≅ t.pt)
-   (w : s.π ≫ i.hom = t.π := by aesop_cat) : s ≅ t where
+    (w : s.π ≫ i.hom = t.π := by aesop_cat) : s ≅ t where
   hom := Cotrident.mkHom i.hom w
   inv := Cotrident.mkHom i.inv (by rw [Iso.comp_inv_eq, w])
 #align category_theory.limits.cotrident.ext CategoryTheory.Limits.Cotrident.ext
@@ -620,7 +620,7 @@ abbrev wideEqualizer.lift [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂,
 
 @[reassoc (attr := simp 1100)]
 theorem wideEqualizer.lift_ι [Nonempty J] {W : C} (k : W ⟶ X)
-  (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
+    (h : ∀ j₁ j₂, k ≫ f j₁ = k ≫ f j₂) :
     wideEqualizer.lift k h ≫ wideEqualizer.ι f = k :=
   limit.lift_π _ _
 #align category_theory.limits.wide_equalizer.lift_ι CategoryTheory.Limits.wideEqualizer.lift_ι
@@ -734,7 +734,7 @@ abbrev wideCoequalizer.desc [Nonempty J] {W : C} (k : Y ⟶ W) (h : ∀ j₁ j
 
 @[reassoc (attr := simp 1100)]
 theorem wideCoequalizer.π_desc [Nonempty J] {W : C} (k : Y ⟶ W)
-  (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
+    (h : ∀ j₁ j₂, f j₁ ≫ k = f j₂ ≫ k) :
     wideCoequalizer.π f ≫ wideCoequalizer.desc k h = k :=
   colimit.ι_desc _ _
 #align category_theory.limits.wide_coequalizer.π_desc CategoryTheory.Limits.wideCoequalizer.π_desc

70fd9563

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

3e44bb07

Diff

@@ -511,7 +511,7 @@ theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F)
 @[simps]
 def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt)
     (w : k ≫ t.ι = s.ι := by aesop_cat) : s ⟶ t where
-  Hom := k
+  hom := k
   w := by
     rintro ⟨_ | _⟩
     · exact w
@@ -534,7 +534,7 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt)
 @[simps]
 def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt)
     (w : s.π ≫ k = t.π := by aesop_cat) : s ⟶ t where
-  Hom := k
+  hom := k
   w := by
     rintro ⟨_ | _⟩
     · simpa using f (Classical.arbitrary J) ≫= w

70fd9563

chore: fix grammar mistakes (#6121)

a16538af

Diff

@@ -632,7 +632,7 @@ def wideEqualizer.lift' [Nonempty J] {W : C} (k : W ⟶ X) (h : ∀ j₁ j₂, k
   ⟨wideEqualizer.lift k h, wideEqualizer.lift_ι _ _⟩
 #align category_theory.limits.wide_equalizer.lift' CategoryTheory.Limits.wideEqualizer.lift'
 
-/-- Two maps into a wide equalizer are equal if they are are equal when composed with the wide
+/-- Two maps into a wide equalizer are equal if they are equal when composed with the wide
     equalizer map. -/
 @[ext]
 theorem wideEqualizer.hom_ext [Nonempty J] {W : C} {k l : W ⟶ wideEqualizer f}

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

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.wide_equalizers
-! 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.HasLimits
 import Mathlib.CategoryTheory.Limits.Shapes.Equalizers
 
+#align_import category_theory.limits.shapes.wide_equalizers from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Wide equalizers and wide coequalizers

70fd9563

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

12343aa5

Diff

@@ -133,7 +133,7 @@ def parallelFamily : WalkingParallelFamily J ⥤ C where
     | _, _, Hom.id _ => 𝟙 _
     | _, _, line j => f j
   map_comp := by
-    rintro _ _ _  ⟨⟩ ⟨⟩ <;>
+    rintro _ _ _ ⟨⟩ ⟨⟩ <;>
       · aesop_cat
 #align category_theory.limits.parallel_family CategoryTheory.Limits.parallelFamily

70fd9563

chore: convert lambda in docs to fun (#5045)

Found with git grep -n "λ [a-zA-Z_ ]*,"

1164cf04

Diff

@@ -448,7 +448,7 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
 
 /-- This is a helper construction that can be useful when verifying that a category has all
     coequalizers. Given `F : WalkingParallelFamily ⥤ C`, which is really the same as
-    `parallelFamily (λ j, F.map (line j))`, and a cotrident on `λ j, F.map (line j)` we get a
+    `parallelFamily (fun j ↦ F.map (line j))`, and a cotrident on `fun j ↦ F.map (line j)` we get a
     cocone on `F`.
 
     If you're thinking about using this, have a look at
@@ -476,8 +476,8 @@ theorem Cocone.ofCotrident_ι {F : WalkingParallelFamily J ⥤ C}
 #align category_theory.limits.cocone.of_cotrident_ι CategoryTheory.Limits.Cocone.ofCotrident_ι
 
 /-- Given `F : WalkingParallelFamily ⥤ C`, which is really the same as
-    `parallelFamily (λ j, F.map (line j))` and a cone on `F`, we get a trident on
-    `λ j, F.map (line j)`. -/
+    `parallelFamily (fun j ↦ F.map (line j))` and a cone on `F`, we get a trident on
+    `fun j ↦ F.map (line j)`. -/
 def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fun j => F.map (line j)
     where
   pt := t.pt
@@ -488,7 +488,7 @@ def Trident.ofCone {F : WalkingParallelFamily J ⥤ C} (t : Cone F) : Trident fu
 
 /-- Given `F : WalkingParallelFamily ⥤ C`, which is really the same as
     `parallelFamily (F.map left) (F.map right)` and a cocone on `F`, we get a cotrident on
-    `λ j, F.map (line j)`. -/
+    `fun j ↦ F.map (line j)`. -/
 def Cotrident.ofCocone {F : WalkingParallelFamily J ⥤ C} (t : Cocone F) :
     Cotrident fun j => F.map (line j) where
   pt := t.pt

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

@@ -159,7 +159,7 @@ theorem parallelFamily_map_left {j : J} : (parallelFamily f).map (line j) = f j
 @[simps!]
 def diagramIsoParallelFamily (F : WalkingParallelFamily J ⥤ C) :
     F ≅ parallelFamily fun j => F.map (line j) :=
-  (NatIso.ofComponents fun j => eqToIso <| by cases j <;> aesop_cat) <| by
+  NatIso.ofComponents (fun j => eqToIso <| by cases j <;> aesop_cat) <| by
     rintro _ _ (_|_) <;> aesop_cat
 #align
   category_theory.limits.diagram_iso_parallel_family
@@ -512,8 +512,8 @@ theorem Cotrident.ofCocone_ι {F : WalkingParallelFamily J ⥤ C} (t : Cocone F)
 /-- Helper function for constructing morphisms between wide equalizer tridents.
 -/
 @[simps]
-def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt) (w : k ≫ t.ι = s.ι) : s ⟶ t
-    where
+def Trident.mkHom [Nonempty J] {s t : Trident f} (k : s.pt ⟶ t.pt)
+    (w : k ≫ t.ι = s.ι := by aesop_cat) : s ⟶ t where
   Hom := k
   w := by
     rintro ⟨_ | _⟩
@@ -526,8 +526,8 @@ it suffices to give an isomorphism between the cone points
 and check that it commutes with the `ι` morphisms.
 -/
 @[simps]
-def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.hom ≫ t.ι = s.ι) : s ≅ t
-    where
+def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt)
+    (w : i.hom ≫ t.ι = s.ι := by aesop_cat) : s ≅ t where
   hom := Trident.mkHom i.hom w
   inv := Trident.mkHom i.inv (by rw [← w, Iso.inv_hom_id_assoc])
 #align category_theory.limits.trident.ext CategoryTheory.Limits.Trident.ext
@@ -535,8 +535,8 @@ def Trident.ext [Nonempty J] {s t : Trident f} (i : s.pt ≅ t.pt) (w : i.hom 
 /-- Helper function for constructing morphisms between coequalizer cotridents.
 -/
 @[simps]
-def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.π ≫ k = t.π) :
-    s ⟶ t where
+def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt)
+    (w : s.π ≫ k = t.π := by aesop_cat) : s ⟶ t where
   Hom := k
   w := by
     rintro ⟨_ | _⟩
@@ -548,8 +548,8 @@ def Cotrident.mkHom [Nonempty J] {s t : Cotrident f} (k : s.pt ⟶ t.pt) (w : s.
 it suffices to give an isomorphism between the cocone points
 and check that it commutes with the `π` morphisms.
 -/
-def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.pt ≅ t.pt) (w : s.π ≫ i.hom = t.π) :
-    s ≅ t where
+def Cotrident.ext [Nonempty J] {s t : Cotrident f} (i : s.pt ≅ t.pt)
+   (w : s.π ≫ i.hom = t.π := by aesop_cat) : s ≅ t where
   hom := Cotrident.mkHom i.hom w
   inv := Cotrident.mkHom i.inv (by rw [Iso.comp_inv_eq, w])
 #align category_theory.limits.cotrident.ext CategoryTheory.Limits.Cotrident.ext
@@ -607,7 +607,7 @@ theorem wideEqualizer.condition (j₁ j₂ : J) : wideEqualizer.ι f ≫ f j₁
 /-- The wideEqualizer built from `wideEqualizer.ι f` is limiting. -/
 def wideEqualizerIsWideEqualizer [Nonempty J] :
     IsLimit (Trident.ofι (wideEqualizer.ι f) (wideEqualizer.condition f)) :=
-  IsLimit.ofIsoLimit (limit.isLimit _) (Trident.ext (Iso.refl _) (by aesop_cat))
+  IsLimit.ofIsoLimit (limit.isLimit _) (Trident.ext (Iso.refl _))
 #align
   category_theory.limits.wide_equalizer_is_wide_equalizer
   CategoryTheory.Limits.wideEqualizerIsWideEqualizer
@@ -721,7 +721,7 @@ theorem wideCoequalizer.condition (j₁ j₂ : J) :
 /-- The cotrident built from `wideCoequalizer.π f` is colimiting. -/
 def wideCoequalizerIsWideCoequalizer [Nonempty J] :
     IsColimit (Cotrident.ofπ (wideCoequalizer.π f) (wideCoequalizer.condition f)) :=
-  IsColimit.ofIsoColimit (colimit.isColimit _) (Cotrident.ext (Iso.refl _) (by aesop_cat))
+  IsColimit.ofIsoColimit (colimit.isColimit _) (Cotrident.ext (Iso.refl _))
 #align
   category_theory.limits.wide_coequalizer_is_wide_coequalizer
   CategoryTheory.Limits.wideCoequalizerIsWideCoequalizer

70fd9563

chore: tidy various files (#3718)

2215ff4f

Diff

@@ -35,8 +35,6 @@ Each of these has a dual.
 ## Main statements
 
 * `wideEqualizer.ι_mono` states that every wideEqualizer map is a monomorphism
-* `is_iso_limit_cone_parallelFamily_of_self` states that the identity on the domain of `f` is an
-  equalizer of `f` and `f`.
 
 ## Implementation notes
 As with the other special shapes in the limits library, all the definitions here are given as
@@ -103,13 +101,12 @@ def WalkingParallelFamily.Hom.comp :
 
 -- attribute [local tidy] tactic.case_bash Porting note: no tidy, no local
 
-instance WalkingParallelFamily.category : SmallCategory (WalkingParallelFamily J)
-    where
+instance WalkingParallelFamily.category : SmallCategory (WalkingParallelFamily J) where
   Hom := WalkingParallelFamily.Hom J
   id := WalkingParallelFamily.Hom.id
   comp := WalkingParallelFamily.Hom.comp
-  assoc := fun f g h => by cases f <;> cases g <;> cases h <;> aesop_cat
-  comp_id := fun f => by cases f <;> aesop_cat
+  assoc f g h := by cases f <;> cases g <;> cases h <;> aesop_cat
+  comp_id f := by cases f <;> aesop_cat
 #align
   category_theory.limits.walking_parallel_family.category
   CategoryTheory.Limits.WalkingParallelFamily.category
@@ -129,10 +126,9 @@ variable {X Y : C} (f : J → (X ⟶ Y))
 /-- `parallelFamily f` is the diagram in `C` consisting of the given family of morphisms, each with
 common domain and codomain.
 -/
-def parallelFamily : WalkingParallelFamily J ⥤ C
-    where
+def parallelFamily : WalkingParallelFamily J ⥤ C where
   obj x := WalkingParallelFamily.casesOn x X Y
-  map := @fun x y h =>
+  map {x y} h :=
     match x, y, h with
     | _, _, Hom.id _ => 𝟙 _
     | _, _, line j => f j
@@ -391,8 +387,7 @@ Further, this bijection is natural in `Z`: see `Trident.Limits.homIso_natural`.
 -/
 @[simps]
 def Trident.IsLimit.homIso [Nonempty J] {t : Trident f} (ht : IsLimit t) (Z : C) :
-    (Z ⟶ t.pt) ≃ { h : Z ⟶ X // ∀ j₁ j₂, h ≫ f j₁ = h ≫ f j₂ }
-    where
+    (Z ⟶ t.pt) ≃ { h : Z ⟶ X // ∀ j₁ j₂, h ≫ f j₁ = h ≫ f j₂ } where
   toFun k := ⟨k ≫ t.ι, by simp⟩
   invFun h := (Trident.IsLimit.lift' ht _ h.prop).1
   left_inv k := Trident.IsLimit.hom_ext ht (Trident.IsLimit.lift' _ _ _).prop
@@ -416,8 +411,7 @@ point to `Z` are in bijection with morphisms `h : Z ⟶ X` such that
 -/
 @[simps]
 def Cotrident.IsColimit.homIso [Nonempty J] {t : Cotrident f} (ht : IsColimit t) (Z : C) :
-    (t.pt ⟶ Z) ≃ { h : Y ⟶ Z // ∀ j₁ j₂, f j₁ ≫ h = f j₂ ≫ h }
-    where
+    (t.pt ⟶ Z) ≃ { h : Y ⟶ Z // ∀ j₁ j₂, f j₁ ≫ h = f j₂ ≫ h } where
   toFun k := ⟨t.π ≫ k, by simp⟩
   invFun h := (Cotrident.IsColimit.desc' ht _ h.prop).1
   left_inv k := Cotrident.IsColimit.hom_ext ht (Cotrident.IsColimit.desc' _ _ _).prop
@@ -448,10 +442,8 @@ def Cone.ofTrident {F : WalkingParallelFamily J ⥤ C} (t : Trident fun j => F.m
     where
   pt := t.pt
   π :=
-    { app := fun X => t.π.app X ≫ eqToHom (by
-        cases X <;> aesop_cat)
-      naturality := fun j j' g => by
-        cases g <;> aesop_cat }
+    { app := fun X => t.π.app X ≫ eqToHom (by cases X <;> aesop_cat)
+      naturality := fun j j' g => by cases g <;> aesop_cat }
 #align category_theory.limits.cone.of_trident CategoryTheory.Limits.Cone.ofTrident
 
 /-- This is a helper construction that can be useful when verifying that a category has all
@@ -652,8 +644,8 @@ theorem wideEqualizer.hom_ext [Nonempty J] {W : C} {k l : W ⟶ wideEqualizer f}
 #align category_theory.limits.wide_equalizer.hom_ext CategoryTheory.Limits.wideEqualizer.hom_ext
 
 /-- A wide equalizer morphism is a monomorphism -/
-instance wideEqualizer.ι_mono [Nonempty J] : Mono (wideEqualizer.ι f)
-    where right_cancellation := @fun _ _ _ w => wideEqualizer.hom_ext w
+instance wideEqualizer.ι_mono [Nonempty J] : Mono (wideEqualizer.ι f) where
+  right_cancellation _ _ w := wideEqualizer.hom_ext w
 #align category_theory.limits.wide_equalizer.ι_mono CategoryTheory.Limits.wideEqualizer.ι_mono
 
 end
@@ -664,8 +656,8 @@ variable {f}
 
 /-- The wide equalizer morphism in any limit cone is a monomorphism. -/
 theorem mono_of_isLimit_parallelFamily [Nonempty J] {c : Cone (parallelFamily f)} (i : IsLimit c) :
-    Mono (Trident.ι c) :=
-  { right_cancellation := @fun _ _ _ w => Trident.IsLimit.hom_ext i w }
+    Mono (Trident.ι c) where
+  right_cancellation _ _ w := Trident.IsLimit.hom_ext i w
 #align
   category_theory.limits.mono_of_is_limit_parallel_family
   CategoryTheory.Limits.mono_of_isLimit_parallelFamily
@@ -766,8 +758,8 @@ theorem wideCoequalizer.hom_ext [Nonempty J] {W : C} {k l : wideCoequalizer f 
 #align category_theory.limits.wide_coequalizer.hom_ext CategoryTheory.Limits.wideCoequalizer.hom_ext
 
 /-- A wide coequalizer morphism is an epimorphism -/
-instance wideCoequalizer.π_epi [Nonempty J] : Epi (wideCoequalizer.π f)
-    where left_cancellation := @fun _ _ _ w => wideCoequalizer.hom_ext w
+instance wideCoequalizer.π_epi [Nonempty J] : Epi (wideCoequalizer.π f) where
+  left_cancellation _ _ w := wideCoequalizer.hom_ext w
 #align category_theory.limits.wide_coequalizer.π_epi CategoryTheory.Limits.wideCoequalizer.π_epi
 
 end
@@ -778,8 +770,8 @@ variable {f}
 
 /-- The wide coequalizer morphism in any colimit cocone is an epimorphism. -/
 theorem epi_of_isColimit_parallelFamily [Nonempty J] {c : Cocone (parallelFamily f)}
-    (i : IsColimit c) : Epi (c.ι.app one) :=
-  { left_cancellation := @fun _ _ _ w => Cotrident.IsColimit.hom_ext i w }
+    (i : IsColimit c) : Epi (c.ι.app one) where
+  left_cancellation _ _ w := Cotrident.IsColimit.hom_ext i w
 #align
   category_theory.limits.epi_of_is_colimit_parallel_family
   CategoryTheory.Limits.epi_of_isColimit_parallelFamily

70fd9563

feat: port CategoryTheory.Limits.Shapes.WideEqualizers (#2713)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: qawbecrdtey <qawbecrdtey@naver.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

ed5009fb

`category_theory.limits.shapes.wide_equalizers` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 74

category_theory.limits.shapes.wide_equalizers ⟷ Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 74

`category_theory.limits.shapes.wide_equalizers` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.WideEqualizers`