category_theory.idempotents.homological_complex ⟷ Mathlib.CategoryTheory.Idempotents.HomologicalComplex

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

@@ -3,8 +3,8 @@ Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 -/
-import Mathbin.Algebra.Homology.Additive
-import Mathbin.CategoryTheory.Idempotents.Karoubi
+import Algebra.Homology.Additive
+import CategoryTheory.Idempotents.Karoubi
 
 #align_import category_theory.idempotents.homological_complex from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.idempotents.homological_complex
-! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.Additive
 import Mathbin.CategoryTheory.Idempotents.Karoubi
 
+#align_import category_theory.idempotents.homological_complex from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+
 /-!
 # Idempotent completeness and homological complexes
 

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

@@ -41,27 +41,35 @@ namespace HomologicalComplex
 
 variable {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) (n : ι)
 
+#print CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d /-
 @[simp, reassoc]
 theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
   HomologicalComplex.congr_hom (p_comp f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d
+-/
 
+#print CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d /-
 @[simp, reassoc]
 theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
   HomologicalComplex.congr_hom (comp_p f) n
 #align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d
+-/
 
+#print CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f /-
 @[reassoc]
 theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
   HomologicalComplex.congr_hom (p_comm f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f
+-/
 
 variable (P)
 
+#print CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem /-
 @[simp, reassoc]
 theorem p_idem : P.p.f n ≫ P.p.f n = P.p.f n :=
   HomologicalComplex.congr_hom P.idem n
 #align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem
+-/
 
 end HomologicalComplex
 
@@ -73,6 +81,7 @@ namespace KaroubiHomologicalComplexEquivalence
 
 namespace Functor
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj /-
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on objects. -/
 @[simps]
@@ -86,7 +95,9 @@ def obj (P : Karoubi (HomologicalComplex C c)) : HomologicalComplex (Karoubi C)
       comm := by tidy }
   shape' i j hij := by simp only [hom_eq_zero_iff, P.X.shape i j hij, limits.comp_zero]
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj
+-/
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.map /-
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on morphisms. -/
 @[simps]
@@ -95,9 +106,11 @@ def map {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) : obj P ⟶ obj Q
     { f := f.f.f n
       comm := by simp }
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.map
+-/
 
 end Functor
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor /-
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`. -/
 @[simps]
 def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C) c
@@ -105,9 +118,11 @@ def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C
   obj := Functor.obj
   map P Q f := Functor.map f
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor
+-/
 
 namespace Inverse
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj /-
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on objects -/
 @[simps]
@@ -124,7 +139,9 @@ def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c
       comm' := by simp }
   idem := by tidy
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj
+-/
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.map /-
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on morphisms -/
 @[simps]
@@ -135,9 +152,11 @@ def map {K L : HomologicalComplex (Karoubi C) c} (f : K ⟶ L) : obj K ⟶ obj L
       comm' := fun i j hij => by simpa only [comp_f] using hom_ext.mp (f.comm' i j hij) }
   comm := by tidy
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.map
+-/
 
 end Inverse
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse /-
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`. -/
 @[simps]
 def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C c)
@@ -145,14 +164,18 @@ def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C
   obj := Inverse.obj
   map K L f := Inverse.map f
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse
+-/
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso /-
 /-- The counit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
 def counitIso : inverse ⋙ functor ≅ 𝟭 (HomologicalComplex (Karoubi C) c) :=
   eqToIso (Functor.ext (fun P => HomologicalComplex.ext (by tidy) (by tidy)) (by tidy))
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso
+-/
 
+#print CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso /-
 /-- The unit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
@@ -195,11 +218,13 @@ def unitIso : 𝟭 (Karoubi (HomologicalComplex C c)) ≅ functor ⋙ inverse
     simp only [homological_complex.p_idem, comp_f, HomologicalComplex.comp_f, id_eq,
       inverse.obj_p_f, functor.obj_X_p]
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso
+-/
 
 end KaroubiHomologicalComplexEquivalence
 
 variable (C) (c)
 
+#print CategoryTheory.Idempotents.karoubiHomologicalComplexEquivalence /-
 /-- The equivalence `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
 def karoubiHomologicalComplexEquivalence :
@@ -210,21 +235,26 @@ def karoubiHomologicalComplexEquivalence :
   unitIso := KaroubiHomologicalComplexEquivalence.unitIso
   counitIso := KaroubiHomologicalComplexEquivalence.counitIso
 #align category_theory.idempotents.karoubi_homological_complex_equivalence CategoryTheory.Idempotents.karoubiHomologicalComplexEquivalence
+-/
 
 variable (α : Type _) [AddRightCancelSemigroup α] [One α]
 
+#print CategoryTheory.Idempotents.karoubiChainComplexEquivalence /-
 /-- The equivalence `karoubi (chain_complex C α) ≌ chain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiChainComplexEquivalence : Karoubi (ChainComplex C α) ≌ ChainComplex (Karoubi C) α :=
   karoubiHomologicalComplexEquivalence C (ComplexShape.down α)
 #align category_theory.idempotents.karoubi_chain_complex_equivalence CategoryTheory.Idempotents.karoubiChainComplexEquivalence
+-/
 
+#print CategoryTheory.Idempotents.karoubiCochainComplexEquivalence /-
 /-- The equivalence `karoubi (cochain_complex C α) ≌ cochain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiCochainComplexEquivalence :
     Karoubi (CochainComplex C α) ≌ CochainComplex (Karoubi C) α :=
   karoubiHomologicalComplexEquivalence C (ComplexShape.up α)
 #align category_theory.idempotents.karoubi_cochain_complex_equivalence CategoryTheory.Idempotents.karoubiCochainComplexEquivalence
+-/
 
 instance [IsIdempotentComplete C] : IsIdempotentComplete (HomologicalComplex C c) :=
   by

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

@@ -41,25 +41,16 @@ namespace HomologicalComplex
 
 variable {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) (n : ι)
 
-/- warning: category_theory.idempotents.karoubi.homological_complex.p_comp_d -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_dₓ'. -/
 @[simp, reassoc]
 theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
   HomologicalComplex.congr_hom (p_comp f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d
 
-/- warning: category_theory.idempotents.karoubi.homological_complex.comp_p_d -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_dₓ'. -/
 @[simp, reassoc]
 theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
   HomologicalComplex.congr_hom (comp_p f) n
 #align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d
 
-/- warning: category_theory.idempotents.karoubi.homological_complex.p_comm_f -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_fₓ'. -/
 @[reassoc]
 theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
   HomologicalComplex.congr_hom (p_comm f) n
@@ -67,9 +58,6 @@ theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
 
 variable (P)
 
-/- warning: category_theory.idempotents.karoubi.homological_complex.p_idem -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idemₓ'. -/
 @[simp, reassoc]
 theorem p_idem : P.p.f n ≫ P.p.f n = P.p.f n :=
   HomologicalComplex.congr_hom P.idem n
@@ -85,12 +73,6 @@ namespace KaroubiHomologicalComplexEquivalence
 
 namespace Functor
 
-/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.objₓ'. -/
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on objects. -/
 @[simps]
@@ -105,12 +87,6 @@ def obj (P : Karoubi (HomologicalComplex C c)) : HomologicalComplex (Karoubi C)
   shape' i j hij := by simp only [hom_eq_zero_iff, P.X.shape i j hij, limits.comp_zero]
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj
 
-/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.functor.map -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.map is a dubious translation:
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 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on morphisms. -/
 @[simps]
@@ -122,12 +98,6 @@ def map {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) : obj P ⟶ obj Q
 
 end Functor
 
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 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`. -/
 @[simps]
 def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C) c
@@ -138,12 +108,6 @@ def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C
 
 namespace Inverse
 
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 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on objects -/
 @[simps]
@@ -161,9 +125,6 @@ def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c
   idem := by tidy
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.mapₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on morphisms -/
 @[simps]
@@ -177,12 +138,6 @@ def map {K L : HomologicalComplex (Karoubi C) c} (f : K ⟶ L) : obj K ⟶ obj L
 
 end Inverse
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverseₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`. -/
 @[simps]
 def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C c)
@@ -191,9 +146,6 @@ def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C
   map K L f := Inverse.map f
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse
 
-/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso is a dubious translation:
-<too large>
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 /-- The counit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
@@ -201,9 +153,6 @@ def counitIso : inverse ⋙ functor ≅ 𝟭 (HomologicalComplex (Karoubi C) c)
   eqToIso (Functor.ext (fun P => HomologicalComplex.ext (by tidy) (by tidy)) (by tidy))
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso
 
-/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso is a dubious translation:
-<too large>
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 /-- The unit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
@@ -251,12 +200,6 @@ end KaroubiHomologicalComplexEquivalence
 
 variable (C) (c)
 
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 /-- The equivalence `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
 def karoubiHomologicalComplexEquivalence :
@@ -270,24 +213,12 @@ def karoubiHomologicalComplexEquivalence :
 
 variable (α : Type _) [AddRightCancelSemigroup α] [One α]
 
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 /-- The equivalence `karoubi (chain_complex C α) ≌ chain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiChainComplexEquivalence : Karoubi (ChainComplex C α) ≌ ChainComplex (Karoubi C) α :=
   karoubiHomologicalComplexEquivalence C (ComplexShape.down α)
 #align category_theory.idempotents.karoubi_chain_complex_equivalence CategoryTheory.Idempotents.karoubiChainComplexEquivalence
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_cochain_complex_equivalence CategoryTheory.Idempotents.karoubiCochainComplexEquivalenceₓ'. -/
 /-- The equivalence `karoubi (cochain_complex C α) ≌ cochain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiCochainComplexEquivalence :

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

@@ -217,10 +217,7 @@ def unitIso : 𝟭 (Karoubi (HomologicalComplex C c)) ≅ functor ⋙ inverse
                 dsimp
                 simp only [HomologicalComplex.Hom.comm, HomologicalComplex.Hom.comm_assoc,
                   homological_complex.p_idem] }
-          comm := by
-            ext n
-            dsimp
-            simp only [homological_complex.p_idem] }
+          comm := by ext n; dsimp; simp only [homological_complex.p_idem] }
       naturality' := fun P Q φ => by
         ext
         dsimp
@@ -233,10 +230,7 @@ def unitIso : 𝟭 (Karoubi (HomologicalComplex C c)) ≅ functor ⋙ inverse
               comm' := fun i j hij => by
                 dsimp
                 simp only [HomologicalComplex.Hom.comm, assoc, homological_complex.p_idem] }
-          comm := by
-            ext n
-            dsimp
-            simp only [homological_complex.p_idem] }
+          comm := by ext n; dsimp; simp only [homological_complex.p_idem] }
       naturality' := fun P Q φ => by
         ext
         dsimp

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

@@ -42,10 +42,7 @@ namespace HomologicalComplex
 variable {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) (n : ι)
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_dₓ'. -/
 @[simp, reassoc]
 theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
@@ -53,10 +50,7 @@ theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
 #align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d
 
 /- warning: category_theory.idempotents.karoubi.homological_complex.comp_p_d -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_dₓ'. -/
 @[simp, reassoc]
 theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
@@ -64,10 +58,7 @@ theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
 #align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d
 
 /- warning: category_theory.idempotents.karoubi.homological_complex.p_comm_f -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_fₓ'. -/
 @[reassoc]
 theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
@@ -77,10 +68,7 @@ theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
 variable (P)
 
 /- warning: category_theory.idempotents.karoubi.homological_complex.p_idem -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem is a dubious translation:
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u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idemₓ'. -/
 @[simp, reassoc]
 theorem p_idem : P.p.f n ≫ P.p.f n = P.p.f n :=
@@ -174,10 +162,7 @@ def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.mapₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on morphisms -/
@@ -207,10 +192,7 @@ def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIsoₓ'. -/
 /-- The counit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
@@ -220,10 +202,7 @@ def counitIso : inverse ⋙ functor ≅ 𝟭 (HomologicalComplex (Karoubi C) c)
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso
 
 /- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso is a dubious translation:
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-  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Iso.{max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Functor.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u2 u3) (max u3 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.category.{max u2 u3, max u2 u3, max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.id.{max u2 u3, max (max u2 u3) (max u3 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.comp.{max u2 u3, max u2 u3, max u2 u3, max (max u1 u2) u3, max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor.{u1, u2, u3} C _inst_1 _inst_2 ι c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse.{u1, u2, u3} C _inst_1 _inst_2 ι c))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIsoₓ'. -/
 /-- The unit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/

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

@@ -47,7 +47,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u2} C] [_inst_2 : CategoryTheory.Preadditive.{u3, u2} C _inst_1] {ι : Type.{u1}} {c : ComplexShape.{u1} ι} {P : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{max (succ u3) (succ u1), max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)))) P Q) (n : ι), Eq.{succ u3} (Quiver.Hom.{succ u3, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1)) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n)) (CategoryTheory.CategoryStruct.comp.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_dₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
   HomologicalComplex.congr_hom (p_comp f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d
@@ -58,7 +58,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u2} C] [_inst_2 : CategoryTheory.Preadditive.{u3, u2} C _inst_1] {ι : Type.{u1}} {c : ComplexShape.{u1} ι} {P : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{max (succ u3) (succ u1), max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)))) P Q) (n : ι), Eq.{succ u3} (Quiver.Hom.{succ u3, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1)) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n)) (CategoryTheory.CategoryStruct.comp.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n)) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_dₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
   HomologicalComplex.congr_hom (comp_p f) n
 #align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d
@@ -69,7 +69,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u2} C] [_inst_2 : CategoryTheory.Preadditive.{u3, u2} C _inst_1] {ι : Type.{u1}} {c : ComplexShape.{u1} ι} {P : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{max (succ u3) (succ u1), max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u1, max (max u2 u3) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)))) P Q) (n : ι), Eq.{succ u3} (Quiver.Hom.{succ u3, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1)) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n)) (CategoryTheory.CategoryStruct.comp.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)) (CategoryTheory.CategoryStruct.comp.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n))
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_fₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
   HomologicalComplex.congr_hom (p_comm f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f
@@ -82,7 +82,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u2} C] [_inst_2 : CategoryTheory.Preadditive.{u3, u2} C _inst_1] {ι : Type.{u1}} {c : ComplexShape.{u1} ι} (P : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)) (n : ι), Eq.{succ u3} (Quiver.Hom.{succ u3, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1)) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)) (CategoryTheory.CategoryStruct.comp.{u3, u2} C (CategoryTheory.Category.toCategoryStruct.{u3, u2} C _inst_1) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.X.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idemₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem p_idem : P.p.f n ≫ P.p.f n = P.p.f n :=
   HomologicalComplex.congr_hom P.idem n
 #align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem

mathlib commit https://github.com/leanprover-community/mathlib/commit/52932b3a083d4142e78a15dc928084a22fea9ba0

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 
 ! This file was ported from Lean 3 source module category_theory.idempotents.homological_complex
-! leanprover-community/mathlib commit 200eda15d8ff5669854ff6bcc10aaf37cb70498f
+! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
 ! 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.Idempotents.Karoubi
 /-!
 # Idempotent completeness and homological complexes
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains simplifications lemmas for categories
 `karoubi (homological_complex C c)` and the construction of an equivalence
 of categories `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

@@ -38,16 +38,34 @@ namespace HomologicalComplex
 
 variable {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) (n : ι)
 
+/- warning: category_theory.idempotents.karoubi.homological_complex.p_comp_d -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {P : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{succ (max u3 u2), max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) P Q) (n : ι), Eq.{succ u2} (Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c 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C _inst_1 _inst_2) c) P Q f) n)
+but is expected to have type
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(CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_dₓ'. -/
 @[simp, reassoc.1]
 theorem p_comp_d : P.p.f n ≫ f.f.f n = f.f.f n :=
   HomologicalComplex.congr_hom (p_comp f) n
 #align category_theory.idempotents.karoubi.homological_complex.p_comp_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d
 
+/- warning: category_theory.idempotents.karoubi.homological_complex.comp_p_d -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {P : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{succ (max u3 u2), max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) P Q) (n : ι), Eq.{succ u2} (Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.x.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P Q f) n) (HomologicalComplex.Hom.f.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.p.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) n)) (HomologicalComplex.Hom.f.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.x.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) P Q f) n)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u2} C] [_inst_2 : CategoryTheory.Preadditive.{u3, u2} C _inst_1] {ι : Type.{u1}} {c : ComplexShape.{u1} ι} {P : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max u1 u2) u3, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c)} (f : Quiver.Hom.{max (succ u3) (succ u1), max (max u2 u3) u1} 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_inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) 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(CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) Q) n)) 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(CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P Q f) n)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_dₓ'. -/
 @[simp, reassoc.1]
 theorem comp_p_d : f.f.f n ≫ Q.p.f n = f.f.f n :=
   HomologicalComplex.congr_hom (comp_p f) n
 #align category_theory.idempotents.karoubi.homological_complex.comp_p_d CategoryTheory.Idempotents.Karoubi.HomologicalComplex.comp_p_d
 
+/- warning: category_theory.idempotents.karoubi.homological_complex.p_comm_f -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f 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.idempotents.karoubi.homological_complex.p_comm_f CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_fₓ'. -/
 @[reassoc.1]
 theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
   HomologicalComplex.congr_hom (p_comm f) n
@@ -55,6 +73,12 @@ theorem p_comm_f : P.p.f n ≫ f.f.f n = f.f.f n ≫ Q.p.f n :=
 
 variable (P)
 
+/- warning: category_theory.idempotents.karoubi.homological_complex.p_idem -> CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)) (HomologicalComplex.Hom.f.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max u2 u3) u1, max u3 u1} (HomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} C _inst_1 _inst_2) c) P) n)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi.homological_complex.p_idem CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idemₓ'. -/
 @[simp, reassoc.1]
 theorem p_idem : P.p.f n ≫ P.p.f n = P.p.f n :=
   HomologicalComplex.congr_hom P.idem n
@@ -70,6 +94,12 @@ namespace KaroubiHomologicalComplexEquivalence
 
 namespace Functor
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) -> (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c)
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) -> (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.objₓ'. -/
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on objects. -/
 @[simps]
@@ -84,6 +114,12 @@ def obj (P : Karoubi (HomologicalComplex C c)) : HomologicalComplex (Karoubi C)
   shape' i j hij := by simp only [hom_eq_zero_iff, P.X.shape i j hij, limits.comp_zero]
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.functor.map -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.map is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {P : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)}, (Quiver.Hom.{succ (max u3 u2), max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) P Q) -> (Quiver.Hom.{succ (max u3 u2), max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c))) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c P) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c Q))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {P : CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)}, (Quiver.Hom.{max (succ u2) (succ u3), max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u2 u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) P Q) -> (Quiver.Hom.{max (succ u2) (succ u3), max (max u3 u2) u1} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u3, max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Category.toCategoryStruct.{max u2 u3, max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c))) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c P) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c Q))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.mapₓ'. -/
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`,
 on morphisms. -/
 @[simps]
@@ -95,6 +131,12 @@ def map {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) : obj P ⟶ obj Q
 
 end Functor
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.functor -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Functor.{max u3 u2, max u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c)
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Functor.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u3 u2 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.functor CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functorₓ'. -/
 /-- The functor `karoubi (homological_complex C c) ⥤ homological_complex (karoubi C) c`. -/
 @[simps]
 def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C) c
@@ -105,6 +147,12 @@ def functor : Karoubi (HomologicalComplex C c) ⥤ HomologicalComplex (Karoubi C
 
 namespace Inverse
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) -> (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) -> (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.objₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on objects -/
 @[simps]
@@ -122,6 +170,12 @@ def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c
   idem := by tidy
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.map is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {K : HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c} {L : HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c}, (Quiver.Hom.{succ (max u3 u2), max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c))) K L) -> (Quiver.Hom.{succ (max u3 u2), max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c K) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c L))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {K : HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c} {L : HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c}, (Quiver.Hom.{max (succ u2) (succ u3), max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u3, max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Category.toCategoryStruct.{max u2 u3, max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c))) K L) -> (Quiver.Hom.{max (succ u2) (succ u3), max (max u3 u2) u1} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Category.toCategoryStruct.{max u2 u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)))) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c K) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj.{u1, u2, u3} C _inst_1 _inst_2 ι c L))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.mapₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`,
 on morphisms -/
 @[simps]
@@ -135,6 +189,12 @@ def map {K L : HomologicalComplex (Karoubi C) c} (f : K ⟶ L) : obj K ⟶ obj L
 
 end Inverse
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.inverse -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Functor.{max u3 u2, max u3 u2, max (max u1 u2) u3 u2, max u1 u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Functor.{max u2 u3, max u2 u3, max (max u3 u2 u1) u2, max (max u2 u3) (max u3 u1) u2} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverseₓ'. -/
 /-- The functor `homological_complex (karoubi C) c ⥤ karoubi (homological_complex C c)`. -/
 @[simps]
 def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C c)
@@ -143,6 +203,12 @@ def inverse : HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C
   map K L f := Inverse.map f
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Iso.{max (max u1 u2) u3 u2, max (max u1 u2) u3 u2} (CategoryTheory.Functor.{max u3 u2, max u3 u2, max (max u1 u2) u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, 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(CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c)) (CategoryTheory.Functor.category.{max u3 u2, max u3 u2, max (max u1 u2) u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C 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(CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c)) (CategoryTheory.Functor.comp.{max u3 u2, max u3 u2, max u3 u2, max (max u1 u2) u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse.{u1, u2, u3} C _inst_1 _inst_2 ι c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor.{u1, u2, u3} C _inst_1 _inst_2 ι c)) (CategoryTheory.Functor.id.{max u3 u2, max (max u1 u2) u3 u2} (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Iso.{max (max u1 u2) u3, max (max u3 u2) u1} (CategoryTheory.Functor.{max u3 u2, max u3 u2, max (max u3 u2) u1, max (max u3 u2) u1} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c)) (CategoryTheory.Functor.category.{max u2 u3, max u2 u3, max (max u1 u2) u3, max (max u1 u2) u3} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c)) (CategoryTheory.Functor.comp.{max u3 u2, max u3 u2, max u3 u2, max (max u3 u2) u1, max (max u3 u2) u1, max (max u3 u2) u1} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse.{u1, u2, u3} C _inst_1 _inst_2 ι c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor.{u1, u2, u3} C _inst_1 _inst_2 ι c)) (CategoryTheory.Functor.id.{max u2 u3, max (max u3 u2 u1) u2} (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIsoₓ'. -/
 /-- The counit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
@@ -150,6 +216,12 @@ def counitIso : inverse ⋙ functor ≅ 𝟭 (HomologicalComplex (Karoubi C) c)
   eqToIso (Functor.ext (fun P => HomologicalComplex.ext (by tidy) (by tidy)) (by tidy))
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.counit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.counitIso
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso -> CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Iso.{max u1 u3 u2, max u1 u3 u2} (CategoryTheory.Functor.{max u3 u2, max u3 u2, max u1 u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.category.{max u3 u2, max u3 u2, max u1 u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.id.{max u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.comp.{max u3 u2, max u3 u2, max u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2, max u1 u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor.{u1, u2, u3} C _inst_1 _inst_2 ι c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse.{u1, u2, u3} C _inst_1 _inst_2 ι c))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι}, CategoryTheory.Iso.{max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Functor.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u2 u3) (max u3 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.category.{max u2 u3, max u2 u3, max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.id.{max u2 u3, max (max u2 u3) (max u3 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c))) (CategoryTheory.Functor.comp.{max u2 u3, max u2 u3, max u2 u3, max (max u1 u2) u3, max (max u1 u2) u3, max (max u1 u2) u3} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.functor.{u1, u2, u3} C _inst_1 _inst_2 ι c) (CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.inverse.{u1, u2, u3} C _inst_1 _inst_2 ι c))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence.unit_iso CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.unitIsoₓ'. -/
 /-- The unit isomorphism of the equivalence
 `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
@@ -203,6 +275,12 @@ end KaroubiHomologicalComplexEquivalence
 
 variable (C) (c)
 
+/- warning: category_theory.idempotents.karoubi_homological_complex_equivalence -> CategoryTheory.Idempotents.karoubiHomologicalComplexEquivalence is a dubious translation:
+lean 3 declaration is
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} (c : ComplexShape.{u3} ι), CategoryTheory.Equivalence.{max u3 u2, max u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) c)
+but is expected to have type
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] {ι : Type.{u3}} (c : ComplexShape.{u3} ι), CategoryTheory.Equivalence.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u3 u2 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.{u2, max u2 u1, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (HomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} ι C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) c)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} ι (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) c)
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_homological_complex_equivalence CategoryTheory.Idempotents.karoubiHomologicalComplexEquivalenceₓ'. -/
 /-- The equivalence `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`. -/
 @[simps]
 def karoubiHomologicalComplexEquivalence :
@@ -216,12 +294,24 @@ def karoubiHomologicalComplexEquivalence :
 
 variable (α : Type _) [AddRightCancelSemigroup α] [One α]
 
+/- warning: category_theory.idempotents.karoubi_chain_complex_equivalence -> CategoryTheory.Idempotents.karoubiChainComplexEquivalence is a dubious translation:
+lean 3 declaration is
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] (α : Type.{u3}) [_inst_3 : AddRightCancelSemigroup.{u3} α] [_inst_4 : One.{u3} α], CategoryTheory.Equivalence.{max u3 u2, max u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (ChainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{u3} α _inst_3 _inst_4))) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (ChainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{u3} α _inst_3 _inst_4))) (ChainComplex.{u2, max u1 u2, u3} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} α (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) (ComplexShape.down.{u3} α _inst_3 _inst_4))
+but is expected to have type
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] (α : Type.{u3}) [_inst_3 : AddRightCancelSemigroup.{u3} α] [_inst_4 : One.{u3} α], CategoryTheory.Equivalence.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u3 u2 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (ChainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{u3} α _inst_3 _inst_4))) (ChainComplex.{u2, max u2 u1, u3} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) α _inst_3 _inst_4) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (ChainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{u3} α _inst_3 _inst_4))) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} α (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) (ComplexShape.down.{u3} α _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_chain_complex_equivalence CategoryTheory.Idempotents.karoubiChainComplexEquivalenceₓ'. -/
 /-- The equivalence `karoubi (chain_complex C α) ≌ chain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiChainComplexEquivalence : Karoubi (ChainComplex C α) ≌ ChainComplex (Karoubi C) α :=
   karoubiHomologicalComplexEquivalence C (ComplexShape.down α)
 #align category_theory.idempotents.karoubi_chain_complex_equivalence CategoryTheory.Idempotents.karoubiChainComplexEquivalence
 
+/- warning: category_theory.idempotents.karoubi_cochain_complex_equivalence -> CategoryTheory.Idempotents.karoubiCochainComplexEquivalence is a dubious translation:
+lean 3 declaration is
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] (α : Type.{u3}) [_inst_3 : AddRightCancelSemigroup.{u3} α] [_inst_4 : One.{u3} α], CategoryTheory.Equivalence.{max u3 u2, max u3 u2, max u1 u3 u2, max (max u1 u2) u3 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u3 u2, max u3 u2} (CochainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.up.{u3} α _inst_3 _inst_4))) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u3 u2, max u3 u2} (CochainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.up.{u3} α _inst_3 _inst_4))) (CochainComplex.{u2, max u1 u2, u3} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) α _inst_3 _inst_4) (HomologicalComplex.CategoryTheory.category.{u2, max u1 u2, u3} α (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.preadditive.{u1, u2} C _inst_1 _inst_2)) (ComplexShape.up.{u3} α _inst_3 _inst_4))
+but is expected to have type
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1] (α : Type.{u3}) [_inst_3 : AddRightCancelSemigroup.{u3} α] [_inst_4 : One.{u3} α], CategoryTheory.Equivalence.{max u2 u3, max u2 u3, max (max u2 u3) (max u3 u1) u2, max (max u3 u2 u1) u2} (CategoryTheory.Idempotents.Karoubi.{max (max u3 u1) u2, max u2 u3} (CochainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.up.{u3} α _inst_3 _inst_4))) (CochainComplex.{u2, max u2 u1, u3} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) α _inst_3 _inst_4) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max u1 u2) u3, max u2 u3} (CochainComplex.{u2, u1, u3} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) α _inst_3 _inst_4) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, u3} α C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.up.{u3} α _inst_3 _inst_4))) (HomologicalComplex.instCategoryHomologicalComplex.{u2, max u1 u2, u3} α (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u1, u2} C _inst_1 _inst_2)) (ComplexShape.up.{u3} α _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_cochain_complex_equivalence CategoryTheory.Idempotents.karoubiCochainComplexEquivalenceₓ'. -/
 /-- The equivalence `karoubi (cochain_complex C α) ≌ cochain_complex (karoubi C) α`. -/
 @[simps]
 def karoubiCochainComplexEquivalence :

mathlib commit https://github.com/leanprover-community/mathlib/commit/b685f506164f8d17a6404048bc4d696739c5d976

@@ -4,11 +4,11 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 
 ! This file was ported from Lean 3 source module category_theory.idempotents.homological_complex
-! leanprover-community/mathlib commit 31019c2504b17f85af7e0577585fad996935a317
+! leanprover-community/mathlib commit 200eda15d8ff5669854ff6bcc10aaf37cb70498f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathbin.Algebra.Homology.HomologicalComplex
+import Mathbin.Algebra.Homology.Additive
 import Mathbin.CategoryTheory.Idempotents.Karoubi
 
 /-!
@@ -18,6 +18,9 @@ This file contains simplifications lemmas for categories
 `karoubi (homological_complex C c)` and the construction of an equivalence
 of categories `karoubi (homological_complex C c) ≌ homological_complex (karoubi C) c`.
 
+When the category `C` is idempotent complete, it is shown that
+`homological_complex (karoubi C) c` is also idempotent complete.
+
 -/
 
 
@@ -226,6 +229,13 @@ def karoubiCochainComplexEquivalence :
   karoubiHomologicalComplexEquivalence C (ComplexShape.up α)
 #align category_theory.idempotents.karoubi_cochain_complex_equivalence CategoryTheory.Idempotents.karoubiCochainComplexEquivalence
 
+instance [IsIdempotentComplete C] : IsIdempotentComplete (HomologicalComplex C c) :=
+  by
+  rw [is_idempotent_complete_iff_of_equivalence
+      ((to_karoubi_equivalence C).mapHomologicalComplex c),
+    ← is_idempotent_complete_iff_of_equivalence (karoubi_homological_complex_equivalence C c)]
+  infer_instance
+
 end Idempotents
 
 end CategoryTheory

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

@@ -72,11 +72,11 @@ on objects. -/
 @[simps]
 def obj (P : Karoubi (HomologicalComplex C c)) : HomologicalComplex (Karoubi C) c
     where
-  x n :=
-    ⟨P.x.x n, P.p.f n, by
+  pt n :=
+    ⟨P.pt.pt n, P.p.f n, by
       simpa only [HomologicalComplex.comp_f] using HomologicalComplex.congr_hom P.idem n⟩
   d i j :=
-    { f := P.p.f i ≫ P.x.d i j
+    { f := P.p.f i ≫ P.pt.d i j
       comm := by tidy }
   shape' i j hij := by simp only [hom_eq_zero_iff, P.X.shape i j hij, limits.comp_zero]
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj
@@ -107,14 +107,14 @@ on objects -/
 @[simps]
 def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c)
     where
-  x :=
-    { x := fun n => (K.x n).x
+  pt :=
+    { pt := fun n => (K.pt n).pt
       d := fun i j => (K.d i j).f
       shape' := fun i j hij => hom_eq_zero_iff.mp (K.shape i j hij)
       d_comp_d' := fun i j k hij hjk => by
         simpa only [comp_f] using hom_eq_zero_iff.mp (K.d_comp_d i j k) }
   p :=
-    { f := fun n => (K.x n).p
+    { f := fun n => (K.pt n).p
       comm' := by simp }
   idem := by tidy
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj

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

In this PR (which is a forward port of https://github.com/leanprover-community/mathlib/pull/17926), the Dold-Kan equivalence between simplicial objects and chain complexes in abelian categories is constructed.

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

@@ -215,7 +215,7 @@ def karoubiCochainComplexEquivalence :
 
 instance [IsIdempotentComplete C] : IsIdempotentComplete (HomologicalComplex C c) := by
   rw [isIdempotentComplete_iff_of_equivalence
-      ((toKaroubi_equivalence C).mapHomologicalComplex c),
+      ((toKaroubiEquivalence C).mapHomologicalComplex c),
     ← isIdempotentComplete_iff_of_equivalence (karoubiHomologicalComplexEquivalence C c)]
   infer_instance
 

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -25,7 +25,7 @@ namespace CategoryTheory
 
 open Category
 
-variable {C : Type _} [Category C] [Preadditive C] {ι : Type _} {c : ComplexShape ι}
+variable {C : Type*} [Category C] [Preadditive C] {ι : Type*} {c : ComplexShape ι}
 
 namespace Idempotents
 
@@ -198,7 +198,7 @@ def karoubiHomologicalComplexEquivalence :
   counitIso := KaroubiHomologicalComplexEquivalence.counitIso
 #align category_theory.idempotents.karoubi_homological_complex_equivalence CategoryTheory.Idempotents.karoubiHomologicalComplexEquivalence
 
-variable (α : Type _) [AddRightCancelSemigroup α] [One α]
+variable (α : Type*) [AddRightCancelSemigroup α] [One α]
 
 /-- The equivalence `Karoubi (ChainComplex C α) ≌ ChainComplex (Karoubi C) α`. -/
 @[simps!]

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.idempotents.homological_complex
-! leanprover-community/mathlib commit 200eda15d8ff5669854ff6bcc10aaf37cb70498f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.Additive
 import Mathlib.CategoryTheory.Idempotents.Karoubi
 
+#align_import category_theory.idempotents.homological_complex from "leanprover-community/mathlib"@"200eda15d8ff5669854ff6bcc10aaf37cb70498f"
+
 /-!
 # Idempotent completeness and homological complexes
 

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>

@@ -77,9 +77,7 @@ def obj (P : Karoubi (HomologicalComplex C c)) : HomologicalComplex (Karoubi C)
   X n :=
     ⟨P.X.X n, P.p.f n, by
       simpa only [HomologicalComplex.comp_f] using HomologicalComplex.congr_hom P.idem n⟩
-  d i j :=
-    { f := P.p.f i ≫ P.X.d i j
-      comm := by aesop_cat }
+  d i j := { f := P.p.f i ≫ P.X.d i j }
   shape i j hij := by simp only [hom_eq_zero_iff, P.X.shape i j hij, Limits.comp_zero]; aesop_cat
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.obj
 
@@ -88,8 +86,7 @@ on morphisms. -/
 @[simps]
 def map {P Q : Karoubi (HomologicalComplex C c)} (f : P ⟶ Q) : obj P ⟶ obj Q where
   f n :=
-    { f := f.f.f n
-      comm := by simp }
+    { f := f.f.f n }
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.functor.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Functor.map
 
 end Functor
@@ -113,10 +110,7 @@ def obj (K : HomologicalComplex (Karoubi C) c) : Karoubi (HomologicalComplex C c
       shape := fun i j hij => hom_eq_zero_iff.mp (K.shape i j hij)
       d_comp_d' := fun i j k _ _ => by
         simpa only [comp_f] using hom_eq_zero_iff.mp (K.d_comp_d i j k) }
-  p :=
-    { f := fun n => (K.X n).p
-      comm' := by simp }
-  idem := by aesop_cat
+  p := { f := fun n => (K.X n).p }
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.obj CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.obj
 
 /-- The functor `HomologicalComplex (Karoubi C) c ⥤ Karoubi (HomologicalComplex C c)`,
@@ -126,7 +120,6 @@ def map {K L : HomologicalComplex (Karoubi C) c} (f : K ⟶ L) : obj K ⟶ obj L
   f :=
     { f := fun n => (f.f n).f
       comm' := fun i j hij => by simpa only [comp_f] using hom_ext_iff.mp (f.comm' i j hij) }
-  comm := by aesop_cat
 #align category_theory.idempotents.karoubi_homological_complex_equivalence.inverse.map CategoryTheory.Idempotents.KaroubiHomologicalComplexEquivalence.Inverse.map
 
 end Inverse