algebraic_topology.dold_kan.p_infty | Mathlib porting status

(last sync)

feat(algebraic_topology/dold_kan): The Dold-Kan equivalence for abelian categories (#17926)

Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

Diff

@@ -22,7 +22,8 @@ to the limit the projections `P q` defined in `projections.lean`. This
 projection is a critical tool in this formalisation of the Dold-Kan correspondence,
 because in the case of abelian categories, `P_infty` corresponds to the
 projection on the normalized Moore subcomplex, with kernel the degenerate subcomplex.
-(See `equivalence.lean` for the general strategy of proof.)
+
+(See `equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -191,7 +191,7 @@ theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 := by ext n;
 #print AlgebraicTopology.DoldKan.PInfty_add_QInfty /-
 @[simp]
 theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ := by dsimp only [Q_infty];
-  simp only [add_sub_cancel'_right]
+  simp only [add_sub_cancel]
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
 -/

bump to nightly-2024-03-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

22f01ce4

Diff

@@ -264,16 +264,16 @@ theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   let τ₂ := nat_trans_P_infty_f (karoubi C) n
   let τ := τ₁ ◫ τ₂
   have h₁₄ := idempotents.nat_trans_eq τ Y
-  dsimp [τ, τ₁, τ₂, nat_trans_P_infty_f] at h₁₄ 
-  rw [id_comp, id_comp, comp_id, comp_id] at h₁₄ 
+  dsimp [τ, τ₁, τ₂, nat_trans_P_infty_f] at h₁₄
+  rw [id_comp, id_comp, comp_id, comp_id] at h₁₄
   -- We use the three equalities h₃₂, h₄₃, h₁₄.
   rw [← h₃₂, ← h₄₃, h₁₄]
   simp only [karoubi_functor_category_embedding.map_app_f, karoubi.decomp_id_p_f,
     karoubi.decomp_id_i_f, karoubi.comp_f]
   let π : Y₄ ⟶ Y₄ := (to_karoubi _ ⋙ karoubi_functor_category_embedding _ _).map Y.p
   have eq := karoubi.hom_ext.mp (P_infty_f_naturality n π)
-  simp only [karoubi.comp_f] at eq 
-  dsimp [π] at eq 
+  simp only [karoubi.comp_f] at eq
+  dsimp [π] at eq
   rw [← Eq, reassoc_of (app_idem Y (op [n]))]
 #align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_f
 -/

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 -/
-import Mathbin.AlgebraicTopology.DoldKan.Projections
-import Mathbin.CategoryTheory.Idempotents.FunctorCategories
-import Mathbin.CategoryTheory.Idempotents.FunctorExtension
+import AlgebraicTopology.DoldKan.Projections
+import CategoryTheory.Idempotents.FunctorCategories
+import CategoryTheory.Idempotents.FunctorExtension
 
 #align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"

bump to nightly-2023-08-06-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

b0e28731

Diff

@@ -7,7 +7,7 @@ import Mathbin.AlgebraicTopology.DoldKan.Projections
 import Mathbin.CategoryTheory.Idempotents.FunctorCategories
 import Mathbin.CategoryTheory.Idempotents.FunctorExtension
 
-#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"
 
 /-!
 
@@ -23,7 +23,8 @@ to the limit the projections `P q` defined in `projections.lean`. This
 projection is a critical tool in this formalisation of the Dold-Kan correspondence,
 because in the case of abelian categories, `P_infty` corresponds to the
 projection on the normalized Moore subcomplex, with kernel the degenerate subcomplex.
-(See `equivalence.lean` for the general strategy of proof.)
+
+(See `equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 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 algebraic_topology.dold_kan.p_infty
-! 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.AlgebraicTopology.DoldKan.Projections
 import Mathbin.CategoryTheory.Idempotents.FunctorCategories
 import Mathbin.CategoryTheory.Idempotents.FunctorExtension
 
+#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+
 /-!
 
 # Construction of the projection `P_infty` for the Dold-Kan correspondence

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -114,17 +114,21 @@ theorem QInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
 #align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.QInfty_f
 -/
 
+#print AlgebraicTopology.DoldKan.PInfty_f_naturality /-
 @[simp, reassoc]
 theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ PInfty.f n = PInfty.f n ≫ f.app (op [n]) :=
   P_f_naturality n n f
 #align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturality
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_f_naturality /-
 @[simp, reassoc]
 theorem QInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ QInfty.f n = QInfty.f n ≫ f.app (op [n]) :=
   Q_f_naturality n n f
 #align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturality
+-/
 
 #print AlgebraicTopology.DoldKan.PInfty_f_idem /-
 @[simp, reassoc]
@@ -186,14 +190,18 @@ theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 := by ext n;
 #align algebraic_topology.dold_kan.Q_infty_comp_P_infty AlgebraicTopology.DoldKan.QInfty_comp_PInfty
 -/
 
+#print AlgebraicTopology.DoldKan.PInfty_add_QInfty /-
 @[simp]
 theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ := by dsimp only [Q_infty];
   simp only [add_sub_cancel'_right]
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f /-
 theorem PInfty_f_add_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) + QInfty.f n = 𝟙 _ :=
   HomologicalComplex.congr_hom PInfty_add_QInfty n
 #align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f
+-/
 
 variable (C)
 
@@ -218,6 +226,7 @@ def natTransPInfty_f (n : ℕ) :=
 
 variable {C}
 
+#print AlgebraicTopology.DoldKan.map_PInfty_f /-
 @[simp]
 theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
     (X : SimplicialObject C) (n : ℕ) :
@@ -225,7 +234,9 @@ theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.
       G.map ((PInfty : AlternatingFaceMapComplex.obj X ⟶ _).f n) :=
   by simp only [P_infty_f, map_P]
 #align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_f
+-/
 
+#print AlgebraicTopology.DoldKan.karoubi_PInfty_f /-
 /-- Given an object `Y : karoubi (simplicial_object C)`, this lemma
 computes `P_infty` for the associated object in `simplicial_object (karoubi C)`
 in terms of `P_infty` for `Y.X : simplicial_object C` and `Y.p`. -/
@@ -267,6 +278,7 @@ theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   dsimp [π] at eq 
   rw [← Eq, reassoc_of (app_idem Y (op [n]))]
 #align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_f
+-/
 
 end DoldKan

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -255,16 +255,16 @@ theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   let τ₂ := nat_trans_P_infty_f (karoubi C) n
   let τ := τ₁ ◫ τ₂
   have h₁₄ := idempotents.nat_trans_eq τ Y
-  dsimp [τ, τ₁, τ₂, nat_trans_P_infty_f] at h₁₄
-  rw [id_comp, id_comp, comp_id, comp_id] at h₁₄
+  dsimp [τ, τ₁, τ₂, nat_trans_P_infty_f] at h₁₄ 
+  rw [id_comp, id_comp, comp_id, comp_id] at h₁₄ 
   -- We use the three equalities h₃₂, h₄₃, h₁₄.
   rw [← h₃₂, ← h₄₃, h₁₄]
   simp only [karoubi_functor_category_embedding.map_app_f, karoubi.decomp_id_p_f,
     karoubi.decomp_id_i_f, karoubi.comp_f]
   let π : Y₄ ⟶ Y₄ := (to_karoubi _ ⋙ karoubi_functor_category_embedding _ _).map Y.p
   have eq := karoubi.hom_ext.mp (P_infty_f_naturality n π)
-  simp only [karoubi.comp_f] at eq
-  dsimp [π] at eq
+  simp only [karoubi.comp_f] at eq 
+  dsimp [π] at eq 
   rw [← Eq, reassoc_of (app_idem Y (op [n]))]
 #align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_f

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -43,7 +43,7 @@ open CategoryTheory.Idempotents
 
 open Opposite
 
-open Simplicial DoldKan
+open scoped Simplicial DoldKan
 
 noncomputable section

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -114,18 +114,12 @@ theorem QInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
 #align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.QInfty_f
 -/
 
-/- warning: algebraic_topology.dold_kan.P_infty_f_naturality -> AlgebraicTopology.DoldKan.PInfty_f_naturality is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturalityₓ'. -/
 @[simp, reassoc]
 theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ PInfty.f n = PInfty.f n ≫ f.app (op [n]) :=
   P_f_naturality n n f
 #align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturality
 
-/- warning: algebraic_topology.dold_kan.Q_infty_f_naturality -> AlgebraicTopology.DoldKan.QInfty_f_naturality is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturalityₓ'. -/
 @[simp, reassoc]
 theorem QInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ QInfty.f n = QInfty.f n ≫ f.app (op [n]) :=
@@ -192,17 +186,11 @@ theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 := by ext n;
 #align algebraic_topology.dold_kan.Q_infty_comp_P_infty AlgebraicTopology.DoldKan.QInfty_comp_PInfty
 -/
 
-/- warning: algebraic_topology.dold_kan.P_infty_add_Q_infty -> AlgebraicTopology.DoldKan.PInfty_add_QInfty is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInftyₓ'. -/
 @[simp]
 theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ := by dsimp only [Q_infty];
   simp only [add_sub_cancel'_right]
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
 
-/- warning: algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f -> AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_fₓ'. -/
 theorem PInfty_f_add_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) + QInfty.f n = 𝟙 _ :=
   HomologicalComplex.congr_hom PInfty_add_QInfty n
 #align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f
@@ -230,9 +218,6 @@ def natTransPInfty_f (n : ℕ) :=
 
 variable {C}
 
-/- warning: algebraic_topology.dold_kan.map_P_infty_f -> AlgebraicTopology.DoldKan.map_PInfty_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_fₓ'. -/
 @[simp]
 theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
     (X : SimplicialObject C) (n : ℕ) :
@@ -241,9 +226,6 @@ theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.
   by simp only [P_infty_f, map_P]
 #align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_f
 
-/- warning: algebraic_topology.dold_kan.karoubi_P_infty_f -> AlgebraicTopology.DoldKan.karoubi_PInfty_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_fₓ'. -/
 /-- Given an object `Y : karoubi (simplicial_object C)`, this lemma
 computes `P_infty` for the associated object in `simplicial_object (karoubi C)`
 in terms of `P_infty` for `Y.X : simplicial_object C` and `Y.p`. -/

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -104,10 +104,7 @@ theorem PInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ X _[n]) = (P n).f n :=
 
 #print AlgebraicTopology.DoldKan.QInfty_f_0 /-
 @[simp]
-theorem QInfty_f_0 : (QInfty.f 0 : X _[0] ⟶ X _[0]) = 0 :=
-  by
-  dsimp [Q_infty]
-  simp only [sub_self]
+theorem QInfty_f_0 : (QInfty.f 0 : X _[0] ⟶ X _[0]) = 0 := by dsimp [Q_infty]; simp only [sub_self]
 #align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.QInfty_f_0
 -/
 
@@ -144,10 +141,7 @@ theorem PInfty_f_idem (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ PInfty.f n = P
 
 #print AlgebraicTopology.DoldKan.PInfty_idem /-
 @[simp, reassoc]
-theorem PInfty_idem : (PInfty : K[X] ⟶ _) ≫ PInfty = PInfty :=
-  by
-  ext n
-  exact P_infty_f_idem n
+theorem PInfty_idem : (PInfty : K[X] ⟶ _) ≫ PInfty = PInfty := by ext n; exact P_infty_f_idem n
 #align algebraic_topology.dold_kan.P_infty_idem AlgebraicTopology.DoldKan.PInfty_idem
 -/
 
@@ -160,10 +154,7 @@ theorem QInfty_f_idem (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ QInfty.f n = Q
 
 #print AlgebraicTopology.DoldKan.QInfty_idem /-
 @[simp, reassoc]
-theorem QInfty_idem : (QInfty : K[X] ⟶ _) ≫ QInfty = QInfty :=
-  by
-  ext n
-  exact Q_infty_f_idem n
+theorem QInfty_idem : (QInfty : K[X] ⟶ _) ≫ QInfty = QInfty := by ext n; exact Q_infty_f_idem n
 #align algebraic_topology.dold_kan.Q_infty_idem AlgebraicTopology.DoldKan.QInfty_idem
 -/
 
@@ -179,9 +170,7 @@ theorem PInfty_f_comp_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ QInft
 
 #print AlgebraicTopology.DoldKan.PInfty_comp_QInfty /-
 @[simp, reassoc]
-theorem PInfty_comp_QInfty : (PInfty : K[X] ⟶ _) ≫ QInfty = 0 :=
-  by
-  ext n
+theorem PInfty_comp_QInfty : (PInfty : K[X] ⟶ _) ≫ QInfty = 0 := by ext n;
   apply P_infty_f_comp_Q_infty_f
 #align algebraic_topology.dold_kan.P_infty_comp_Q_infty AlgebraicTopology.DoldKan.PInfty_comp_QInfty
 -/
@@ -198,9 +187,7 @@ theorem QInfty_f_comp_PInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ PInft
 
 #print AlgebraicTopology.DoldKan.QInfty_comp_PInfty /-
 @[simp, reassoc]
-theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 :=
-  by
-  ext n
+theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 := by ext n;
   apply Q_infty_f_comp_P_infty_f
 #align algebraic_topology.dold_kan.Q_infty_comp_P_infty AlgebraicTopology.DoldKan.QInfty_comp_PInfty
 -/
@@ -209,9 +196,7 @@ theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInftyₓ'. -/
 @[simp]
-theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ :=
-  by
-  dsimp only [Q_infty]
+theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ := by dsimp only [Q_infty];
   simp only [add_sub_cancel'_right]
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
 
@@ -231,9 +216,7 @@ the functor `alternating_face_map_complex C`. -/
 def natTransPInfty : alternatingFaceMapComplex C ⟶ alternatingFaceMapComplex C
     where
   app _ := PInfty
-  naturality' X Y f := by
-    ext n
-    exact P_infty_f_naturality n f
+  naturality' X Y f := by ext n; exact P_infty_f_naturality n f
 #align algebraic_topology.dold_kan.nat_trans_P_infty AlgebraicTopology.DoldKan.natTransPInfty
 -/

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -118,10 +118,7 @@ theorem QInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
 -/
 
 /- warning: algebraic_topology.dold_kan.P_infty_f_naturality -> AlgebraicTopology.DoldKan.PInfty_f_naturality is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturalityₓ'. -/
 @[simp, reassoc]
 theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
@@ -130,10 +127,7 @@ theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
 #align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturality
 
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_inst_2 X) (AlgebraicTopology.DoldKan.QInfty.{u1, u2} C _inst_1 _inst_2 X) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturalityₓ'. -/
 @[simp, reassoc]
 theorem QInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
@@ -212,10 +206,7 @@ theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 :=
 -/
 
 /- warning: algebraic_topology.dold_kan.P_infty_add_Q_infty -> AlgebraicTopology.DoldKan.PInfty_add_QInfty is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInftyₓ'. -/
 @[simp]
 theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ :=
@@ -225,10 +216,7 @@ theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ :=
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
 
 /- warning: algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f -> AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_fₓ'. -/
 theorem PInfty_f_add_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) + QInfty.f n = 𝟙 _ :=
   HomologicalComplex.congr_hom PInfty_add_QInfty n
@@ -260,10 +248,7 @@ def natTransPInfty_f (n : ℕ) :=
 variable {C}
 
 /- warning: algebraic_topology.dold_kan.map_P_infty_f -> AlgebraicTopology.DoldKan.map_PInfty_f is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_fₓ'. -/
 @[simp]
 theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
@@ -274,10 +259,7 @@ theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.
 #align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_f
 
 /- warning: algebraic_topology.dold_kan.karoubi_P_infty_f -> AlgebraicTopology.DoldKan.karoubi_PInfty_f is a dubious translation:
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(CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Functor.category.{0, u1, 0, max u2 u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, max u1 u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, max u1 u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Functor.category.{0, u1, 0, max u2 u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) C (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) _inst_1)) Y)) (AlgebraicTopology.DoldKan.PInfty.{max u2 u1, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.instPreadditiveKaroubiInstCategoryKaroubi.{u2, u1} C _inst_1 _inst_2) (Prefunctor.obj.{succ u1, succ u1, max u1 u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Category.toCategoryStruct.{u1, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)))) (CategoryTheory.Functor.{0, u1, 0, max u1 u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u1 u2} (CategoryTheory.Functor.{0, u1, 0, max u1 u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Category.toCategoryStruct.{u1, max u1 u2} (CategoryTheory.Functor.{0, u1, 0, max u1 u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Functor.category.{0, u1, 0, max u2 u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, max u1 u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max u2 u1, u1} (CategoryTheory.Functor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, max u1 u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Functor.category.{0, u1, 0, max u2 u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) (CategoryTheory.Idempotents.Karoubi.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) C (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) _inst_1)) Y)) n)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{1, succ u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (Prefunctor.obj.{1, succ u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u1, u2, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) n) (CategoryTheory.NatTrans.app.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (CategoryTheory.Idempotents.Karoubi.p.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u1, u2, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (AlgebraicTopology.DoldKan.PInfty.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) n))
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_fₓ'. -/
 /-- Given an object `Y : karoubi (simplicial_object C)`, this lemma
 computes `P_infty` for the associated object in `simplicial_object (karoubi C)`

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -123,7 +123,7 @@ lean 3 declaration is
 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] (n : Nat) {X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1} {Y : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1} (f : Quiver.Hom.{succ u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1))) X Y), Eq.{succ u2} (Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) (AlgebraicTopology.DoldKan.PInfty.{u1, u2} C _inst_1 _inst_2 Y) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) n) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) n) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.DoldKan.PInfty.{u1, u2} C _inst_1 _inst_2 X) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))))
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturalityₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ PInfty.f n = PInfty.f n ≫ f.app (op [n]) :=
   P_f_naturality n n f
@@ -135,21 +135,21 @@ lean 3 declaration is
 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] (n : Nat) {X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1} {Y : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1} (f : Quiver.Hom.{succ u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1))) X Y), Eq.{succ u2} (Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 Y) (AlgebraicTopology.DoldKan.QInfty.{u1, u2} C _inst_1 _inst_2 Y) n)) (CategoryTheory.CategoryStruct.comp.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) n) (HomologicalComplex.X.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) n) (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.DoldKan.QInfty.{u1, u2} C _inst_1 _inst_2 X) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))))
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturalityₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem QInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ QInfty.f n = QInfty.f n ≫ f.app (op [n]) :=
   Q_f_naturality n n f
 #align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturality
 
 #print AlgebraicTopology.DoldKan.PInfty_f_idem /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PInfty_f_idem (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ PInfty.f n = PInfty.f n := by
   simp only [P_infty_f, P_f_idem]
 #align algebraic_topology.dold_kan.P_infty_f_idem AlgebraicTopology.DoldKan.PInfty_f_idem
 -/
 
 #print AlgebraicTopology.DoldKan.PInfty_idem /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PInfty_idem : (PInfty : K[X] ⟶ _) ≫ PInfty = PInfty :=
   by
   ext n
@@ -158,14 +158,14 @@ theorem PInfty_idem : (PInfty : K[X] ⟶ _) ≫ PInfty = PInfty :=
 -/
 
 #print AlgebraicTopology.DoldKan.QInfty_f_idem /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem QInfty_f_idem (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ QInfty.f n = QInfty.f n :=
   Q_f_idem _ _
 #align algebraic_topology.dold_kan.Q_infty_f_idem AlgebraicTopology.DoldKan.QInfty_f_idem
 -/
 
 #print AlgebraicTopology.DoldKan.QInfty_idem /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem QInfty_idem : (QInfty : K[X] ⟶ _) ≫ QInfty = QInfty :=
   by
   ext n
@@ -174,7 +174,7 @@ theorem QInfty_idem : (QInfty : K[X] ⟶ _) ≫ QInfty = QInfty :=
 -/
 
 #print AlgebraicTopology.DoldKan.PInfty_f_comp_QInfty_f /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PInfty_f_comp_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ QInfty.f n = 0 :=
   by
   dsimp only [Q_infty]
@@ -184,7 +184,7 @@ theorem PInfty_f_comp_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ QInft
 -/
 
 #print AlgebraicTopology.DoldKan.PInfty_comp_QInfty /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PInfty_comp_QInfty : (PInfty : K[X] ⟶ _) ≫ QInfty = 0 :=
   by
   ext n
@@ -193,7 +193,7 @@ theorem PInfty_comp_QInfty : (PInfty : K[X] ⟶ _) ≫ QInfty = 0 :=
 -/
 
 #print AlgebraicTopology.DoldKan.QInfty_f_comp_PInfty_f /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem QInfty_f_comp_PInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ PInfty.f n = 0 :=
   by
   dsimp only [Q_infty]
@@ -203,7 +203,7 @@ theorem QInfty_f_comp_PInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ PInft
 -/
 
 #print AlgebraicTopology.DoldKan.QInfty_comp_PInfty /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 :=
   by
   ext n

bump to nightly-2023-04-22-03

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

21a90077

Diff

@@ -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 algebraic_topology.dold_kan.p_infty
-! leanprover-community/mathlib commit 31019c2504b17f85af7e0577585fad996935a317
+! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Idempotents.FunctorExtension
 
 # Construction of the projection `P_infty` for the Dold-Kan correspondence
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 TODO (@joelriou) continue adding the various files referenced below
 
 In this file, we construct the projection `P_infty : K[X] ⟶ K[X]` by passing

bump to nightly-2023-04-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/246f6f7989ff86bd07e1b014846f11304f33cf9e

301bd2a9

Diff

@@ -108,10 +108,10 @@ theorem QInfty_f_0 : (QInfty.f 0 : X _[0] ⟶ X _[0]) = 0 :=
 #align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.QInfty_f_0
 -/
 
-#print AlgebraicTopology.DoldKan.qInfty_f /-
-theorem qInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
+#print AlgebraicTopology.DoldKan.QInfty_f /-
+theorem QInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
   rfl
-#align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.qInfty_f
+#align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.QInfty_f
 -/
 
 /- warning: algebraic_topology.dold_kan.P_infty_f_naturality -> AlgebraicTopology.DoldKan.PInfty_f_naturality is a dubious translation:

bump to nightly-2023-04-20-20

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

e863e061

Diff

@@ -50,7 +50,8 @@ namespace DoldKan
 
 variable {C : Type _} [Category C] [Preadditive C] {X : SimplicialObject C}
 
-theorem p_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
+#print AlgebraicTopology.DoldKan.P_is_eventually_constant /-
+theorem P_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
     ((P (q + 1)).f n : X _[n] ⟶ _) = (P q).f n :=
   by
   cases n
@@ -59,157 +60,228 @@ theorem p_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
     simp only [add_right_eq_self, comp_add, HomologicalComplex.comp_f,
       HomologicalComplex.add_f_apply, comp_id]
     exact (higher_faces_vanish.of_P q n).comp_Hσ_eq_zero (nat.succ_le_iff.mp hqn)
-#align algebraic_topology.dold_kan.P_is_eventually_constant AlgebraicTopology.DoldKan.p_is_eventually_constant
+#align algebraic_topology.dold_kan.P_is_eventually_constant AlgebraicTopology.DoldKan.P_is_eventually_constant
+-/
 
-theorem q_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
+#print AlgebraicTopology.DoldKan.Q_is_eventually_constant /-
+theorem Q_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
     ((Q (q + 1)).f n : X _[n] ⟶ _) = (Q q).f n := by
   simp only [Q, HomologicalComplex.sub_f_apply, P_is_eventually_constant hqn]
-#align algebraic_topology.dold_kan.Q_is_eventually_constant AlgebraicTopology.DoldKan.q_is_eventually_constant
+#align algebraic_topology.dold_kan.Q_is_eventually_constant AlgebraicTopology.DoldKan.Q_is_eventually_constant
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty /-
 /-- The endomorphism `P_infty : K[X] ⟶ K[X]` obtained from the `P q` by passing to the limit. -/
-def pInfty : K[X] ⟶ K[X] :=
+def PInfty : K[X] ⟶ K[X] :=
   ChainComplex.ofHom _ _ _ _ _ _ (fun n => ((P n).f n : X _[n] ⟶ _)) fun n => by
     simpa only [← P_is_eventually_constant (show n ≤ n by rfl),
       alternating_face_map_complex.obj_d_eq] using (P (n + 1)).comm (n + 1) n
-#align algebraic_topology.dold_kan.P_infty AlgebraicTopology.DoldKan.pInfty
+#align algebraic_topology.dold_kan.P_infty AlgebraicTopology.DoldKan.PInfty
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty /-
 /-- The endomorphism `Q_infty : K[X] ⟶ K[X]` obtained from the `Q q` by passing to the limit. -/
-def qInfty : K[X] ⟶ K[X] :=
-  𝟙 _ - pInfty
-#align algebraic_topology.dold_kan.Q_infty AlgebraicTopology.DoldKan.qInfty
+def QInfty : K[X] ⟶ K[X] :=
+  𝟙 _ - PInfty
+#align algebraic_topology.dold_kan.Q_infty AlgebraicTopology.DoldKan.QInfty
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty_f_0 /-
 @[simp]
-theorem pInfty_f_0 : (pInfty.f 0 : X _[0] ⟶ X _[0]) = 𝟙 _ :=
+theorem PInfty_f_0 : (PInfty.f 0 : X _[0] ⟶ X _[0]) = 𝟙 _ :=
   rfl
-#align algebraic_topology.dold_kan.P_infty_f_0 AlgebraicTopology.DoldKan.pInfty_f_0
+#align algebraic_topology.dold_kan.P_infty_f_0 AlgebraicTopology.DoldKan.PInfty_f_0
+-/
 
-theorem pInfty_f (n : ℕ) : (pInfty.f n : X _[n] ⟶ X _[n]) = (P n).f n :=
+#print AlgebraicTopology.DoldKan.PInfty_f /-
+theorem PInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ X _[n]) = (P n).f n :=
   rfl
-#align algebraic_topology.dold_kan.P_infty_f AlgebraicTopology.DoldKan.pInfty_f
+#align algebraic_topology.dold_kan.P_infty_f AlgebraicTopology.DoldKan.PInfty_f
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_f_0 /-
 @[simp]
-theorem qInfty_f_0 : (qInfty.f 0 : X _[0] ⟶ X _[0]) = 0 :=
+theorem QInfty_f_0 : (QInfty.f 0 : X _[0] ⟶ X _[0]) = 0 :=
   by
   dsimp [Q_infty]
   simp only [sub_self]
-#align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.qInfty_f_0
+#align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.QInfty_f_0
+-/
 
-theorem qInfty_f (n : ℕ) : (qInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
+#print AlgebraicTopology.DoldKan.qInfty_f /-
+theorem qInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
   rfl
 #align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.qInfty_f
+-/
 
+/- warning: algebraic_topology.dold_kan.P_infty_f_naturality -> AlgebraicTopology.DoldKan.PInfty_f_naturality is a dubious translation:
+lean 3 declaration is
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_inst_2 X) (AlgebraicTopology.DoldKan.PInfty.{u1, u2} C _inst_1 _inst_2 X) n) (CategoryTheory.NatTrans.app.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X Y f (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))))
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturalityₓ'. -/
 @[simp, reassoc.1]
-theorem pInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
-    f.app (op [n]) ≫ pInfty.f n = pInfty.f n ≫ f.app (op [n]) :=
+theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
+    f.app (op [n]) ≫ PInfty.f n = PInfty.f n ≫ f.app (op [n]) :=
   P_f_naturality n n f
-#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.pInfty_f_naturality
-
+#align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.PInfty_f_naturality
+
+/- warning: algebraic_topology.dold_kan.Q_infty_f_naturality -> AlgebraicTopology.DoldKan.QInfty_f_naturality is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturalityₓ'. -/
 @[simp, reassoc.1]
-theorem qInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
-    f.app (op [n]) ≫ qInfty.f n = qInfty.f n ≫ f.app (op [n]) :=
+theorem QInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
+    f.app (op [n]) ≫ QInfty.f n = QInfty.f n ≫ f.app (op [n]) :=
   Q_f_naturality n n f
-#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.qInfty_f_naturality
+#align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.QInfty_f_naturality
 
+#print AlgebraicTopology.DoldKan.PInfty_f_idem /-
 @[simp, reassoc.1]
-theorem pInfty_f_idem (n : ℕ) : (pInfty.f n : X _[n] ⟶ _) ≫ pInfty.f n = pInfty.f n := by
+theorem PInfty_f_idem (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ PInfty.f n = PInfty.f n := by
   simp only [P_infty_f, P_f_idem]
-#align algebraic_topology.dold_kan.P_infty_f_idem AlgebraicTopology.DoldKan.pInfty_f_idem
+#align algebraic_topology.dold_kan.P_infty_f_idem AlgebraicTopology.DoldKan.PInfty_f_idem
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty_idem /-
 @[simp, reassoc.1]
-theorem pInfty_idem : (pInfty : K[X] ⟶ _) ≫ pInfty = pInfty :=
+theorem PInfty_idem : (PInfty : K[X] ⟶ _) ≫ PInfty = PInfty :=
   by
   ext n
   exact P_infty_f_idem n
-#align algebraic_topology.dold_kan.P_infty_idem AlgebraicTopology.DoldKan.pInfty_idem
+#align algebraic_topology.dold_kan.P_infty_idem AlgebraicTopology.DoldKan.PInfty_idem
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_f_idem /-
 @[simp, reassoc.1]
-theorem qInfty_f_idem (n : ℕ) : (qInfty.f n : X _[n] ⟶ _) ≫ qInfty.f n = qInfty.f n :=
+theorem QInfty_f_idem (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ QInfty.f n = QInfty.f n :=
   Q_f_idem _ _
-#align algebraic_topology.dold_kan.Q_infty_f_idem AlgebraicTopology.DoldKan.qInfty_f_idem
+#align algebraic_topology.dold_kan.Q_infty_f_idem AlgebraicTopology.DoldKan.QInfty_f_idem
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_idem /-
 @[simp, reassoc.1]
-theorem qInfty_idem : (qInfty : K[X] ⟶ _) ≫ qInfty = qInfty :=
+theorem QInfty_idem : (QInfty : K[X] ⟶ _) ≫ QInfty = QInfty :=
   by
   ext n
   exact Q_infty_f_idem n
-#align algebraic_topology.dold_kan.Q_infty_idem AlgebraicTopology.DoldKan.qInfty_idem
+#align algebraic_topology.dold_kan.Q_infty_idem AlgebraicTopology.DoldKan.QInfty_idem
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty_f_comp_QInfty_f /-
 @[simp, reassoc.1]
-theorem pInfty_f_comp_qInfty_f (n : ℕ) : (pInfty.f n : X _[n] ⟶ _) ≫ qInfty.f n = 0 :=
+theorem PInfty_f_comp_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) ≫ QInfty.f n = 0 :=
   by
   dsimp only [Q_infty]
   simp only [HomologicalComplex.sub_f_apply, HomologicalComplex.id_f, comp_sub, comp_id,
     P_infty_f_idem, sub_self]
-#align algebraic_topology.dold_kan.P_infty_f_comp_Q_infty_f AlgebraicTopology.DoldKan.pInfty_f_comp_qInfty_f
+#align algebraic_topology.dold_kan.P_infty_f_comp_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_comp_QInfty_f
+-/
 
+#print AlgebraicTopology.DoldKan.PInfty_comp_QInfty /-
 @[simp, reassoc.1]
-theorem pInfty_comp_qInfty : (pInfty : K[X] ⟶ _) ≫ qInfty = 0 :=
+theorem PInfty_comp_QInfty : (PInfty : K[X] ⟶ _) ≫ QInfty = 0 :=
   by
   ext n
   apply P_infty_f_comp_Q_infty_f
-#align algebraic_topology.dold_kan.P_infty_comp_Q_infty AlgebraicTopology.DoldKan.pInfty_comp_qInfty
+#align algebraic_topology.dold_kan.P_infty_comp_Q_infty AlgebraicTopology.DoldKan.PInfty_comp_QInfty
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_f_comp_PInfty_f /-
 @[simp, reassoc.1]
-theorem qInfty_f_comp_pInfty_f (n : ℕ) : (qInfty.f n : X _[n] ⟶ _) ≫ pInfty.f n = 0 :=
+theorem QInfty_f_comp_PInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ _) ≫ PInfty.f n = 0 :=
   by
   dsimp only [Q_infty]
   simp only [HomologicalComplex.sub_f_apply, HomologicalComplex.id_f, sub_comp, id_comp,
     P_infty_f_idem, sub_self]
-#align algebraic_topology.dold_kan.Q_infty_f_comp_P_infty_f AlgebraicTopology.DoldKan.qInfty_f_comp_pInfty_f
+#align algebraic_topology.dold_kan.Q_infty_f_comp_P_infty_f AlgebraicTopology.DoldKan.QInfty_f_comp_PInfty_f
+-/
 
+#print AlgebraicTopology.DoldKan.QInfty_comp_PInfty /-
 @[simp, reassoc.1]
-theorem qInfty_comp_pInfty : (qInfty : K[X] ⟶ _) ≫ pInfty = 0 :=
+theorem QInfty_comp_PInfty : (QInfty : K[X] ⟶ _) ≫ PInfty = 0 :=
   by
   ext n
   apply Q_infty_f_comp_P_infty_f
-#align algebraic_topology.dold_kan.Q_infty_comp_P_infty AlgebraicTopology.DoldKan.qInfty_comp_pInfty
+#align algebraic_topology.dold_kan.Q_infty_comp_P_infty AlgebraicTopology.DoldKan.QInfty_comp_PInfty
+-/
 
+/- warning: algebraic_topology.dold_kan.P_infty_add_Q_infty -> AlgebraicTopology.DoldKan.PInfty_add_QInfty is a dubious translation:
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(AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne)))) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (Quiver.Hom.{succ u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne)))) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (Quiver.Hom.{succ u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne)))) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (instHAdd.{u2} (Quiver.Hom.{succ u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat 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(ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X))) (AlgebraicTopology.DoldKan.PInfty.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.DoldKan.QInfty.{u1, u2} C _inst_1 _inst_2 X)) (CategoryTheory.CategoryStruct.id.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat 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+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] {X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1}, Eq.{succ u2} (Quiver.Hom.{succ u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (HAdd.hAdd.{u2, u2, u2} (Quiver.Hom.{succ u2, max u2 u1} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat 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(AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (Quiver.Hom.{succ u2, max u2 u1} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u1, u2} C _inst_1 _inst_2 X)) (Quiver.Hom.{succ u2, max u1 u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 _inst_2) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat 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+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInftyₓ'. -/
 @[simp]
-theorem pInfty_add_qInfty : (pInfty : K[X] ⟶ _) + qInfty = 𝟙 _ :=
+theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ :=
   by
   dsimp only [Q_infty]
   simp only [add_sub_cancel'_right]
-#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.pInfty_add_qInfty
-
-theorem pInfty_f_add_qInfty_f (n : ℕ) : (pInfty.f n : X _[n] ⟶ _) + qInfty.f n = 𝟙 _ :=
-  HomologicalComplex.congr_hom pInfty_add_qInfty n
-#align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.pInfty_f_add_qInfty_f
+#align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty
+
+/- warning: algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f -> AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_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 algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_fₓ'. -/
+theorem PInfty_f_add_QInfty_f (n : ℕ) : (PInfty.f n : X _[n] ⟶ _) + QInfty.f n = 𝟙 _ :=
+  HomologicalComplex.congr_hom PInfty_add_QInfty n
+#align algebraic_topology.dold_kan.P_infty_f_add_Q_infty_f AlgebraicTopology.DoldKan.PInfty_f_add_QInfty_f
 
 variable (C)
 
+#print AlgebraicTopology.DoldKan.natTransPInfty /-
 /-- `P_infty` induces a natural transformation, i.e. an endomorphism of
 the functor `alternating_face_map_complex C`. -/
 @[simps]
 def natTransPInfty : alternatingFaceMapComplex C ⟶ alternatingFaceMapComplex C
     where
-  app _ := pInfty
+  app _ := PInfty
   naturality' X Y f := by
     ext n
     exact P_infty_f_naturality n f
 #align algebraic_topology.dold_kan.nat_trans_P_infty AlgebraicTopology.DoldKan.natTransPInfty
+-/
 
+#print AlgebraicTopology.DoldKan.natTransPInfty_f /-
 /-- The natural transformation in each degree that is induced by `nat_trans_P_infty`. -/
 @[simps]
-def natTransPInftyF (n : ℕ) :=
+def natTransPInfty_f (n : ℕ) :=
   natTransPInfty C ◫ 𝟙 (HomologicalComplex.eval _ _ n)
-#align algebraic_topology.dold_kan.nat_trans_P_infty_f AlgebraicTopology.DoldKan.natTransPInftyF
+#align algebraic_topology.dold_kan.nat_trans_P_infty_f AlgebraicTopology.DoldKan.natTransPInfty_f
+-/
 
 variable {C}
 
+/- warning: algebraic_topology.dold_kan.map_P_infty_f -> AlgebraicTopology.DoldKan.map_PInfty_f is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_fₓ'. -/
 @[simp]
-theorem map_pInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
+theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
     (X : SimplicialObject C) (n : ℕ) :
-    (pInfty : K[((whiskering C D).obj G).obj X] ⟶ _).f n =
-      G.map ((pInfty : AlternatingFaceMapComplex.obj X ⟶ _).f n) :=
+    (PInfty : K[((whiskering C D).obj G).obj X] ⟶ _).f n =
+      G.map ((PInfty : AlternatingFaceMapComplex.obj X ⟶ _).f n) :=
   by simp only [P_infty_f, map_P]
-#align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_pInfty_f
-
+#align algebraic_topology.dold_kan.map_P_infty_f AlgebraicTopology.DoldKan.map_PInfty_f
+
+/- warning: algebraic_topology.dold_kan.karoubi_P_infty_f -> AlgebraicTopology.DoldKan.karoubi_PInfty_f is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (Prefunctor.obj.{1, succ u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.X.{u1, u2, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) n) (CategoryTheory.NatTrans.app.{0, u1, 0, u2} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (CategoryTheory.Idempotents.Karoubi.p.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n))) (HomologicalComplex.Hom.f.{u1, u2, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} C _inst_1 _inst_2) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (AlgebraicTopology.AlternatingFaceMapComplex.obj.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) (AlgebraicTopology.DoldKan.PInfty.{u2, u1} C _inst_1 _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max u2 u1, u1} (CategoryTheory.SimplicialObject.{u1, u2} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u1, u2} C _inst_1) Y)) n))
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_fₓ'. -/
 /-- Given an object `Y : karoubi (simplicial_object C)`, this lemma
 computes `P_infty` for the associated object in `simplicial_object (karoubi C)`
 in terms of `P_infty` for `Y.X : simplicial_object C` and `Y.p`. -/
-theorem karoubi_pInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
-    ((pInfty : K[(karoubiFunctorCategoryEmbedding _ _).obj Y] ⟶ _).f n).f =
-      Y.p.app (op [n]) ≫ (pInfty : K[Y.pt] ⟶ _).f n :=
+theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
+    ((PInfty : K[(karoubiFunctorCategoryEmbedding _ _).obj Y] ⟶ _).f n).f =
+      Y.p.app (op [n]) ≫ (PInfty : K[Y.pt] ⟶ _).f n :=
   by
   -- We introduce P_infty endomorphisms P₁, P₂, P₃, P₄ on various objects Y₁, Y₂, Y₃, Y₄.
   let Y₁ := (karoubi_functor_category_embedding _ _).obj Y
@@ -244,7 +316,7 @@ theorem karoubi_pInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   simp only [karoubi.comp_f] at eq
   dsimp [π] at eq
   rw [← Eq, reassoc_of (app_idem Y (op [n]))]
-#align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_pInfty_f
+#align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_f
 
 end DoldKan

bump to nightly-2023-04-20-16

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

3940090c

Diff

@@ -51,7 +51,7 @@ namespace DoldKan
 variable {C : Type _} [Category C] [Preadditive C] {X : SimplicialObject C}
 
 theorem p_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
-    ((p (q + 1)).f n : X _[n] ⟶ _) = (p q).f n :=
+    ((P (q + 1)).f n : X _[n] ⟶ _) = (P q).f n :=
   by
   cases n
   · simp only [P_f_0_eq]
@@ -62,13 +62,13 @@ theorem p_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
 #align algebraic_topology.dold_kan.P_is_eventually_constant AlgebraicTopology.DoldKan.p_is_eventually_constant
 
 theorem q_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
-    ((q (q + 1)).f n : X _[n] ⟶ _) = (q q).f n := by
+    ((Q (q + 1)).f n : X _[n] ⟶ _) = (Q q).f n := by
   simp only [Q, HomologicalComplex.sub_f_apply, P_is_eventually_constant hqn]
 #align algebraic_topology.dold_kan.Q_is_eventually_constant AlgebraicTopology.DoldKan.q_is_eventually_constant
 
 /-- The endomorphism `P_infty : K[X] ⟶ K[X]` obtained from the `P q` by passing to the limit. -/
 def pInfty : K[X] ⟶ K[X] :=
-  ChainComplex.ofHom _ _ _ _ _ _ (fun n => ((p n).f n : X _[n] ⟶ _)) fun n => by
+  ChainComplex.ofHom _ _ _ _ _ _ (fun n => ((P n).f n : X _[n] ⟶ _)) fun n => by
     simpa only [← P_is_eventually_constant (show n ≤ n by rfl),
       alternating_face_map_complex.obj_d_eq] using (P (n + 1)).comm (n + 1) n
 #align algebraic_topology.dold_kan.P_infty AlgebraicTopology.DoldKan.pInfty
@@ -83,7 +83,7 @@ theorem pInfty_f_0 : (pInfty.f 0 : X _[0] ⟶ X _[0]) = 𝟙 _ :=
   rfl
 #align algebraic_topology.dold_kan.P_infty_f_0 AlgebraicTopology.DoldKan.pInfty_f_0
 
-theorem pInfty_f (n : ℕ) : (pInfty.f n : X _[n] ⟶ X _[n]) = (p n).f n :=
+theorem pInfty_f (n : ℕ) : (pInfty.f n : X _[n] ⟶ X _[n]) = (P n).f n :=
   rfl
 #align algebraic_topology.dold_kan.P_infty_f AlgebraicTopology.DoldKan.pInfty_f
 
@@ -94,20 +94,20 @@ theorem qInfty_f_0 : (qInfty.f 0 : X _[0] ⟶ X _[0]) = 0 :=
   simp only [sub_self]
 #align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.qInfty_f_0
 
-theorem qInfty_f (n : ℕ) : (qInfty.f n : X _[n] ⟶ X _[n]) = (q n).f n :=
+theorem qInfty_f (n : ℕ) : (qInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
   rfl
 #align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.qInfty_f
 
 @[simp, reassoc.1]
 theorem pInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ pInfty.f n = pInfty.f n ≫ f.app (op [n]) :=
-  p_f_naturality n n f
+  P_f_naturality n n f
 #align algebraic_topology.dold_kan.P_infty_f_naturality AlgebraicTopology.DoldKan.pInfty_f_naturality
 
 @[simp, reassoc.1]
 theorem qInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :
     f.app (op [n]) ≫ qInfty.f n = qInfty.f n ≫ f.app (op [n]) :=
-  q_f_naturality n n f
+  Q_f_naturality n n f
 #align algebraic_topology.dold_kan.Q_infty_f_naturality AlgebraicTopology.DoldKan.qInfty_f_naturality
 
 @[simp, reassoc.1]
@@ -124,7 +124,7 @@ theorem pInfty_idem : (pInfty : K[X] ⟶ _) ≫ pInfty = pInfty :=
 
 @[simp, reassoc.1]
 theorem qInfty_f_idem (n : ℕ) : (qInfty.f n : X _[n] ⟶ _) ≫ qInfty.f n = qInfty.f n :=
-  q_f_idem _ _
+  Q_f_idem _ _
 #align algebraic_topology.dold_kan.Q_infty_f_idem AlgebraicTopology.DoldKan.qInfty_f_idem
 
 @[simp, reassoc.1]

bump to nightly-2023-04-20-12

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

ffd433f8

Diff

@@ -58,7 +58,7 @@ theorem p_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
   · unfold P
     simp only [add_right_eq_self, comp_add, HomologicalComplex.comp_f,
       HomologicalComplex.add_f_apply, comp_id]
-    exact (higher_faces_vanish.of_P q n).comp_hσ_eq_zero (nat.succ_le_iff.mp hqn)
+    exact (higher_faces_vanish.of_P q n).comp_Hσ_eq_zero (nat.succ_le_iff.mp hqn)
 #align algebraic_topology.dold_kan.P_is_eventually_constant AlgebraicTopology.DoldKan.p_is_eventually_constant
 
 theorem q_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -209,7 +209,7 @@ computes `P_infty` for the associated object in `simplicial_object (karoubi C)`
 in terms of `P_infty` for `Y.X : simplicial_object C` and `Y.p`. -/
 theorem karoubi_pInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
     ((pInfty : K[(karoubiFunctorCategoryEmbedding _ _).obj Y] ⟶ _).f n).f =
-      Y.p.app (op [n]) ≫ (pInfty : K[Y.x] ⟶ _).f n :=
+      Y.p.app (op [n]) ≫ (pInfty : K[Y.pt] ⟶ _).f n :=
   by
   -- We introduce P_infty endomorphisms P₁, P₂, P₃, P₄ on various objects Y₁, Y₂, Y₃, Y₄.
   let Y₁ := (karoubi_functor_category_embedding _ _).obj Y

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

chore: Rename mul-div cancellation lemmas (#11530)

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

4ea4a86a

Diff

@@ -159,7 +159,7 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem PInfty_add_QInfty : (PInfty : K[X] ⟶ _) + QInfty = 𝟙 _ := by
   dsimp only [QInfty]
-  simp only [add_sub_cancel'_right]
+  simp only [add_sub_cancel]
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.P_infty_add_Q_infty AlgebraicTopology.DoldKan.PInfty_add_QInfty

chore: prepare Lean version bump with explicit simp (#10999)

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

38bce757

Diff

@@ -220,7 +220,7 @@ theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   have h₃₂ : (P₃.f n).f = P₂.f n := Karoubi.hom_ext_iff.mp (map_PInfty_f (toKaroubi C) Y₂ n)
   have h₄₃ : P₄.f n = P₃.f n := by
     have h := Functor.congr_obj (toKaroubi_comp_karoubiFunctorCategoryEmbedding _ _) Y₂
-    simp only [← natTransPInfty_f_app]
+    simp only [P₃, P₄, ← natTransPInfty_f_app]
     congr 1
   have h₁₄ := Idempotents.natTrans_eq
     ((𝟙 (karoubiFunctorCategoryEmbedding SimplexCategoryᵒᵖ C)) ◫
@@ -234,7 +234,7 @@ theorem karoubi_PInfty_f {Y : Karoubi (SimplicialObject C)} (n : ℕ) :
   let π : Y₄ ⟶ Y₄ := (toKaroubi _ ⋙ karoubiFunctorCategoryEmbedding _ _).map Y.p
   have eq := Karoubi.hom_ext_iff.mp (PInfty_f_naturality n π)
   simp only [Karoubi.comp_f] at eq
-  dsimp at eq
+  dsimp [π] at eq
   rw [← eq, app_idem_assoc Y (op [n])]
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.karoubi_P_infty_f AlgebraicTopology.DoldKan.karoubi_PInfty_f

chore: fix SHA for Dold-Kan equivalence files (#6834)

cf01bdac

Diff

@@ -7,7 +7,7 @@ import Mathlib.AlgebraicTopology.DoldKan.Projections
 import Mathlib.CategoryTheory.Idempotents.FunctorCategories
 import Mathlib.CategoryTheory.Idempotents.FunctorExtension
 
-#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"31019c2504b17f85af7e0577585fad996935a317"
+#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"
 
 /-!

feat: forward port of Mathlib.AlgebraicTopology.DoldKan.Equivalence (#6444)

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>

c532d7b8

Diff

@@ -18,7 +18,8 @@ to the limit the projections `P q` defined in `Projections.lean`. This
 projection is a critical tool in this formalisation of the Dold-Kan correspondence,
 because in the case of abelian categories, `PInfty` corresponds to the
 projection on the normalized Moore subcomplex, with kernel the degenerate subcomplex.
-(See `Equivalence.lean` for the general strategy of proof.)
+
+(See `Equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -30,7 +30,7 @@ namespace AlgebraicTopology
 
 namespace DoldKan
 
-variable {C : Type _} [Category C] [Preadditive C] {X : SimplicialObject C}
+variable {C : Type*} [Category C] [Preadditive C] {X : SimplicialObject C}
 
 theorem P_is_eventually_constant {q n : ℕ} (hqn : n ≤ q) :
     ((P (q + 1)).f n : X _[n] ⟶ _) = (P q).f n := by
@@ -190,7 +190,7 @@ set_option linter.uppercaseLean3 false in
 variable {C}
 
 @[simp]
-theorem map_PInfty_f {D : Type _} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
+theorem map_PInfty_f {D : Type*} [Category D] [Preadditive D] (G : C ⥤ D) [G.Additive]
     (X : SimplicialObject C) (n : ℕ) :
     (PInfty : K[((whiskering C D).obj G).obj X] ⟶ _).f n =
       G.map ((PInfty : AlternatingFaceMapComplex.obj X ⟶ _).f n) :=

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 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 algebraic_topology.dold_kan.p_infty
-! leanprover-community/mathlib commit 31019c2504b17f85af7e0577585fad996935a317
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicTopology.DoldKan.Projections
 import Mathlib.CategoryTheory.Idempotents.FunctorCategories
 import Mathlib.CategoryTheory.Idempotents.FunctorExtension
 
+#align_import algebraic_topology.dold_kan.p_infty from "leanprover-community/mathlib"@"31019c2504b17f85af7e0577585fad996935a317"
+
 /-!
 
 # Construction of the projection `PInfty` for the Dold-Kan correspondence

feat: port AlgebraicTopology.DoldKan.SplitSimplicialObject (#3563)

88850ab9

Diff

@@ -83,10 +83,10 @@ theorem QInfty_f_0 : (QInfty.f 0 : X _[0] ⟶ X _[0]) = 0 := by
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.Q_infty_f_0 AlgebraicTopology.DoldKan.QInfty_f_0
 
-theorem qInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
+theorem QInfty_f (n : ℕ) : (QInfty.f n : X _[n] ⟶ X _[n]) = (Q n).f n :=
   rfl
 set_option linter.uppercaseLean3 false in
-#align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.qInfty_f
+#align algebraic_topology.dold_kan.Q_infty_f AlgebraicTopology.DoldKan.QInfty_f
 
 @[reassoc (attr := simp)]
 theorem PInfty_f_naturality (n : ℕ) {X Y : SimplicialObject C} (f : X ⟶ Y) :