Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

324a7502

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

8eb9c42d

bump to nightly-2024-04-29-08

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

6607d135

Diff

@@ -302,7 +302,7 @@ instance : CategoryTheory.Functor.Faithful (single₀ V) :=
   CategoryTheory.Functor.Faithful.of_iso (single₀IsoSingle V).symm
 
 instance : CategoryTheory.Functor.Full (single₀ V) :=
-  CategoryTheory.Functor.Full.ofIso (single₀IsoSingle V).symm
+  CategoryTheory.Functor.Full.of_iso (single₀IsoSingle V).symm
 
 end ChainComplex
 
@@ -456,7 +456,7 @@ instance : CategoryTheory.Functor.Faithful (single₀ V) :=
   CategoryTheory.Functor.Faithful.of_iso (single₀IsoSingle V).symm
 
 instance : CategoryTheory.Functor.Full (single₀ V) :=
-  CategoryTheory.Functor.Full.ofIso (single₀IsoSingle V).symm
+  CategoryTheory.Functor.Full.of_iso (single₀IsoSingle V).symm
 
 end CochainComplex

8eb9c42d

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -93,7 +93,7 @@ theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
 #align homological_complex.single_map_f_self HomologicalComplex.single_map_f_self
 -/
 
-instance (j : ι) : Faithful (single V c j)
+instance (j : ι) : CategoryTheory.Functor.Faithful (single V c j)
     where map_injective' X Y f g w := by
     have := congr_hom w j
     dsimp at this
@@ -103,7 +103,7 @@ instance (j : ι) : Faithful (single V c j)
       eq_to_hom_refl, category.comp_id] at this
     exact this
 
-instance (j : ι) : Full (single V c j)
+instance (j : ι) : CategoryTheory.Functor.Full (single V c j)
     where
   preimage X Y f := eqToHom (by simp) ≫ f.f j ≫ eqToHom (by simp)
   witness' X Y f := by
@@ -298,11 +298,11 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
 
-instance : Faithful (single₀ V) :=
-  Faithful.of_iso (single₀IsoSingle V).symm
+instance : CategoryTheory.Functor.Faithful (single₀ V) :=
+  CategoryTheory.Functor.Faithful.of_iso (single₀IsoSingle V).symm
 
-instance : Full (single₀ V) :=
-  Full.ofIso (single₀IsoSingle V).symm
+instance : CategoryTheory.Functor.Full (single₀ V) :=
+  CategoryTheory.Functor.Full.ofIso (single₀IsoSingle V).symm
 
 end ChainComplex
 
@@ -452,11 +452,11 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
 
-instance : Faithful (single₀ V) :=
-  Faithful.of_iso (single₀IsoSingle V).symm
+instance : CategoryTheory.Functor.Faithful (single₀ V) :=
+  CategoryTheory.Functor.Faithful.of_iso (single₀IsoSingle V).symm
 
-instance : Full (single₀ V) :=
-  Full.ofIso (single₀IsoSingle V).symm
+instance : CategoryTheory.Functor.Full (single₀ V) :=
+  CategoryTheory.Functor.Full.ofIso (single₀IsoSingle V).symm
 
 end CochainComplex

8eb9c42d

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -96,11 +96,11 @@ theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
 instance (j : ι) : Faithful (single V c j)
     where map_injective' X Y f g w := by
     have := congr_hom w j
-    dsimp at this 
-    simp only [dif_pos] at this 
+    dsimp at this
+    simp only [dif_pos] at this
     rw [← is_iso.inv_comp_eq, inv_eq_to_hom, eq_to_hom_trans_assoc, eq_to_hom_refl,
       category.id_comp, ← is_iso.comp_inv_eq, category.assoc, inv_eq_to_hom, eq_to_hom_trans,
-      eq_to_hom_refl, category.comp_id] at this 
+      eq_to_hom_refl, category.comp_id] at this
     exact this
 
 instance (j : ι) : Full (single V c j)

8eb9c42d

bump to nightly-2023-11-15-06

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

38c8ceef

Diff

@@ -149,35 +149,26 @@ def single₀ : V ⥤ ChainComplex V ℕ
 #align chain_complex.single₀ ChainComplex.single₀
 -/
 
-#print ChainComplex.single₀_obj_X_0 /-
 @[simp]
-theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
+theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
-#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0
--/
+#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_x_0
 
-#print ChainComplex.single₀_obj_X_succ /-
 @[simp]
-theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
+theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
-#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
--/
+#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_x_succ
 
-#print ChainComplex.single₀_obj_X_d /-
 @[simp]
-theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
+theorem single₀_obj_x_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
-#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
--/
+#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_x_d
 
-#print ChainComplex.single₀_obj_X_dTo /-
 @[simp]
-theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
+theorem single₀_obj_x_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
   rw [d_to_eq ((single₀ V).obj X) rfl]; simp
-#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
--/
+#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_x_dTo
 
-#print ChainComplex.single₀_obj_x_dFrom /-
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
   by
@@ -185,21 +176,16 @@ theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i
   · rw [d_from_eq_zero]; simp
   · rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
--/
 
-#print ChainComplex.single₀_map_f_0 /-
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
--/
 
-#print ChainComplex.single₀_map_f_succ /-
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
 #align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succ
--/
 
 section
 
@@ -264,13 +250,11 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
 #align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
 -/
 
-#print ChainComplex.to_single₀_ext /-
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
     (h : f.f 0 = g.f 0) : f = g :=
   (toSingle₀Equiv C X).Injective (by ext; exact h)
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
--/
 
 #print ChainComplex.fromSingle₀Equiv /-
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
@@ -300,7 +284,6 @@ def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X 
 
 variable (V)
 
-#print ChainComplex.single₀IsoSingle /-
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -314,7 +297,6 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
           · apply has_zero_object.to_zero_ext })
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
--/
 
 instance : Faithful (single₀ V) :=
   Faithful.of_iso (single₀IsoSingle V).symm
@@ -353,35 +335,26 @@ def single₀ : V ⥤ CochainComplex V ℕ
 #align cochain_complex.single₀ CochainComplex.single₀
 -/
 
-#print CochainComplex.single₀_obj_X_0 /-
 @[simp]
-theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
+theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
-#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0
--/
+#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_x_0
 
-#print CochainComplex.single₀_obj_X_succ /-
 @[simp]
-theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
+theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
-#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
--/
+#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_x_succ
 
-#print CochainComplex.single₀_obj_X_d /-
 @[simp]
-theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
+theorem single₀_obj_x_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
-#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
--/
+#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_x_d
 
-#print CochainComplex.single₀_obj_x_dFrom /-
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 := by
   rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
--/
 
-#print CochainComplex.single₀_obj_x_dTo /-
 @[simp]
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
   by
@@ -389,21 +362,16 @@ theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0
   · rw [d_to_eq_zero]; simp
   · rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
--/
 
-#print CochainComplex.single₀_map_f_0 /-
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
--/
 
-#print CochainComplex.single₀_map_f_succ /-
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
 #align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succ
--/
 
 section
 
@@ -470,7 +438,6 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
 
 variable (V)
 
-#print CochainComplex.single₀IsoSingle /-
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -484,7 +451,6 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
           · apply has_zero_object.to_zero_ext })
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
--/
 
 instance : Faithful (single₀ V) :=
   Faithful.of_iso (single₀IsoSingle V).symm

8eb9c42d

bump to nightly-2023-10-29-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/3365b20c2ffa7c35e47e5209b89ba9abdddf3ffe

abdd1870

Diff

@@ -205,28 +205,28 @@ section
 
 variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 
-#print ChainComplex.homologyFunctor0Single₀ /-
+#print ChainComplex.homology'Functor0Single₀ /-
 /-- Sending objects to chain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
-noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
-    fun X Y f => by ext; dsimp [homologyFunctor]; simp
-#align chain_complex.homology_functor_0_single₀ ChainComplex.homologyFunctor0Single₀
+noncomputable def homology'Functor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
+  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
+    fun X Y f => by ext; dsimp [homology'Functor]; simp
+#align chain_complex.homology_functor_0_single₀ ChainComplex.homology'Functor0Single₀
 -/
 
-#print ChainComplex.homologyFunctorSuccSingle₀ /-
+#print ChainComplex.homology'FunctorSuccSingle₀ /-
 /-- Sending objects to chain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
-noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homologyFunctor V _ (n + 1) ≅ 0 :=
+noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
+    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
   NatIso.ofComponents
     (fun X =>
-      homology.congr _ _ (by simp) (by simp) ≪≫
-        homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
+      homology'.congr _ _ (by simp) (by simp) ≪≫
+        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun X Y f => (functor.zero_obj _).eq_of_tgt _ _
-#align chain_complex.homology_functor_succ_single₀ ChainComplex.homologyFunctorSuccSingle₀
+#align chain_complex.homology_functor_succ_single₀ ChainComplex.homology'FunctorSuccSingle₀
 -/
 
 end
@@ -413,24 +413,24 @@ variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 /-- Sending objects to cochain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
-noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
-    fun X Y f => by ext; dsimp [homologyFunctor]; simp
+noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
+  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
+    fun X Y f => by ext; dsimp [homology'Functor]; simp
 #align cochain_complex.homology_functor_0_single₀ CochainComplex.homologyFunctor0Single₀
 -/
 
-#print CochainComplex.homologyFunctorSuccSingle₀ /-
+#print CochainComplex.homology'FunctorSuccSingle₀ /-
 /-- Sending objects to cochain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
-noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homologyFunctor V _ (n + 1) ≅ 0 :=
+noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
+    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
   NatIso.ofComponents
     (fun X =>
-      homology.congr _ _ (by simp) (by simp) ≪≫
-        homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
+      homology'.congr _ _ (by simp) (by simp) ≪≫
+        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun X Y f => (functor.zero_obj _).eq_of_tgt _ _
-#align cochain_complex.homology_functor_succ_single₀ CochainComplex.homologyFunctorSuccSingle₀
+#align cochain_complex.homology_functor_succ_single₀ CochainComplex.homology'FunctorSuccSingle₀
 -/
 
 end

8eb9c42d

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Homology.Homology
+import Algebra.Homology.Homology
 
 #align_import algebra.homology.single from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"

8eb9c42d

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.single
-! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.Homology
 
+#align_import algebra.homology.single from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
+
 /-!
 # Chain complexes supported in a single degree

8eb9c42d

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -79,18 +79,22 @@ def single (j : ι) : V ⥤ HomologicalComplex V c
 #align homological_complex.single HomologicalComplex.single
 -/
 
+#print HomologicalComplex.singleObjXSelf /-
 /-- The object in degree `j` of `(single V c h).obj A` is just `A`.
 -/
 @[simps]
 def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).pt j ≅ A :=
   eqToIso (by simp)
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
+-/
 
+#print HomologicalComplex.single_map_f_self /-
 @[simp]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
     ((single V c j).map f).f j = (singleObjXSelf V c j A).Hom ≫ f ≫ (singleObjXSelf V c j B).inv :=
   by simp; rfl
 #align homological_complex.single_map_f_self HomologicalComplex.single_map_f_self
+-/
 
 instance (j : ι) : Faithful (single V c j)
     where map_injective' X Y f g w := by
@@ -148,26 +152,35 @@ def single₀ : V ⥤ ChainComplex V ℕ
 #align chain_complex.single₀ ChainComplex.single₀
 -/
 
+#print ChainComplex.single₀_obj_X_0 /-
 @[simp]
 theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0
+-/
 
+#print ChainComplex.single₀_obj_X_succ /-
 @[simp]
 theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
+-/
 
+#print ChainComplex.single₀_obj_X_d /-
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
 #align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
+-/
 
+#print ChainComplex.single₀_obj_X_dTo /-
 @[simp]
 theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
   rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
+-/
 
+#print ChainComplex.single₀_obj_x_dFrom /-
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
   by
@@ -175,16 +188,21 @@ theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i
   · rw [d_from_eq_zero]; simp
   · rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
+-/
 
+#print ChainComplex.single₀_map_f_0 /-
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
+-/
 
+#print ChainComplex.single₀_map_f_succ /-
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
 #align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succ
+-/
 
 section
 
@@ -218,6 +236,7 @@ end
 
 variable {V}
 
+#print ChainComplex.toSingle₀Equiv /-
 /-- Morphisms from a `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
 are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
@@ -246,13 +265,17 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
     · ext
   right_inv := by tidy
 #align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
+-/
 
+#print ChainComplex.to_single₀_ext /-
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
     (h : f.f 0 = g.f 0) : f = g :=
   (toSingle₀Equiv C X).Injective (by ext; exact h)
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
+-/
 
+#print ChainComplex.fromSingle₀Equiv /-
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
 -/
@@ -276,9 +299,11 @@ def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X 
     · ext
   right_inv g := rfl
 #align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equiv
+-/
 
 variable (V)
 
+#print ChainComplex.single₀IsoSingle /-
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -292,6 +317,7 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
           · apply has_zero_object.to_zero_ext })
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
+-/
 
 instance : Faithful (single₀ V) :=
   Faithful.of_iso (single₀IsoSingle V).symm
@@ -330,26 +356,35 @@ def single₀ : V ⥤ CochainComplex V ℕ
 #align cochain_complex.single₀ CochainComplex.single₀
 -/
 
+#print CochainComplex.single₀_obj_X_0 /-
 @[simp]
 theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0
+-/
 
+#print CochainComplex.single₀_obj_X_succ /-
 @[simp]
 theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
+-/
 
+#print CochainComplex.single₀_obj_X_d /-
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
 #align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
+-/
 
+#print CochainComplex.single₀_obj_x_dFrom /-
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 := by
   rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
+-/
 
+#print CochainComplex.single₀_obj_x_dTo /-
 @[simp]
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
   by
@@ -357,16 +392,21 @@ theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0
   · rw [d_to_eq_zero]; simp
   · rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
+-/
 
+#print CochainComplex.single₀_map_f_0 /-
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
+-/
 
+#print CochainComplex.single₀_map_f_succ /-
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
 #align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succ
+-/
 
 section
 
@@ -400,6 +440,7 @@ end
 
 variable {V}
 
+#print CochainComplex.fromSingle₀Equiv /-
 /-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed cochain complex `C`
 are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
@@ -428,9 +469,11 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
     · ext
   right_inv := by tidy
 #align cochain_complex.from_single₀_equiv CochainComplex.fromSingle₀Equiv
+-/
 
 variable (V)
 
+#print CochainComplex.single₀IsoSingle /-
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -444,6 +487,7 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
           · apply has_zero_object.to_zero_ext })
     fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
+-/
 
 instance : Faithful (single₀ V) :=
   Faithful.of_iso (single₀IsoSingle V).symm

8eb9c42d

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -95,11 +95,11 @@ theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
 instance (j : ι) : Faithful (single V c j)
     where map_injective' X Y f g w := by
     have := congr_hom w j
-    dsimp at this
-    simp only [dif_pos] at this
+    dsimp at this 
+    simp only [dif_pos] at this 
     rw [← is_iso.inv_comp_eq, inv_eq_to_hom, eq_to_hom_trans_assoc, eq_to_hom_refl,
       category.id_comp, ← is_iso.comp_inv_eq, category.assoc, inv_eq_to_hom, eq_to_hom_trans,
-      eq_to_hom_refl, category.comp_id] at this
+      eq_to_hom_refl, category.comp_id] at this 
     exact this
 
 instance (j : ι) : Full (single V c j)

8eb9c42d

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -79,12 +79,6 @@ def single (j : ι) : V ⥤ HomologicalComplex V c
 #align homological_complex.single HomologicalComplex.single
 -/
 
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-Case conversion may be inaccurate. Consider using '#align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelfₓ'. -/
 /-- The object in degree `j` of `(single V c h).obj A` is just `A`.
 -/
 @[simps]
@@ -92,9 +86,6 @@ def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).pt j ≅ A :=
   eqToIso (by simp)
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
 
-/- warning: homological_complex.single_map_f_self -> HomologicalComplex.single_map_f_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homological_complex.single_map_f_self HomologicalComplex.single_map_f_selfₓ'. -/
 @[simp]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
     ((single V c j).map f).f j = (singleObjXSelf V c j A).Hom ≫ f ≫ (singleObjXSelf V c j B).inv :=
@@ -157,47 +148,26 @@ def single₀ : V ⥤ ChainComplex V ℕ
 #align chain_complex.single₀ ChainComplex.single₀
 -/
 
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 @[simp]
 theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0
 
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-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succₓ'. -/
 @[simp]
 theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
 
-/- warning: chain_complex.single₀_obj_X_d -> ChainComplex.single₀_obj_X_d is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
 #align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
 
-/- warning: chain_complex.single₀_obj_X_d_to -> ChainComplex.single₀_obj_X_dTo is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dToₓ'. -/
 @[simp]
 theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
   rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
 
-/- warning: chain_complex.single₀_obj_X_d_from -> ChainComplex.single₀_obj_x_dFrom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
   by
@@ -206,17 +176,11 @@ theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i
   · rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
 
-/- warning: chain_complex.single₀_map_f_0 -> ChainComplex.single₀_map_f_0 is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
 
-/- warning: chain_complex.single₀_map_f_succ -> ChainComplex.single₀_map_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
@@ -254,9 +218,6 @@ end
 
 variable {V}
 
-/- warning: chain_complex.to_single₀_equiv -> ChainComplex.toSingle₀Equiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equivₓ'. -/
 /-- Morphisms from a `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
 are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
@@ -286,18 +247,12 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
   right_inv := by tidy
 #align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
 
-/- warning: chain_complex.to_single₀_ext -> ChainComplex.to_single₀_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_ext ChainComplex.to_single₀_extₓ'. -/
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
     (h : f.f 0 = g.f 0) : f = g :=
   (toSingle₀Equiv C X).Injective (by ext; exact h)
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
 
-/- warning: chain_complex.from_single₀_equiv -> ChainComplex.fromSingle₀Equiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
 -/
@@ -324,12 +279,6 @@ def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X 
 
 variable (V)
 
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-Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingleₓ'. -/
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -381,47 +330,26 @@ def single₀ : V ⥤ CochainComplex V ℕ
 #align cochain_complex.single₀ CochainComplex.single₀
 -/
 
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-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0ₓ'. -/
 @[simp]
 theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0
 
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-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succₓ'. -/
 @[simp]
 theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
 
-/- warning: cochain_complex.single₀_obj_X_d -> CochainComplex.single₀_obj_X_d is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
 #align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
 
-/- warning: cochain_complex.single₀_obj_X_d_from -> CochainComplex.single₀_obj_x_dFrom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 := by
   rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
 
-/- warning: cochain_complex.single₀_obj_X_d_to -> CochainComplex.single₀_obj_x_dTo is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dToₓ'. -/
 @[simp]
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
   by
@@ -430,17 +358,11 @@ theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0
   · rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
 
-/- warning: cochain_complex.single₀_map_f_0 -> CochainComplex.single₀_map_f_0 is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
 
-/- warning: cochain_complex.single₀_map_f_succ -> CochainComplex.single₀_map_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
@@ -478,9 +400,6 @@ end
 
 variable {V}
 
-/- warning: cochain_complex.from_single₀_equiv -> CochainComplex.fromSingle₀Equiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.from_single₀_equiv CochainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed cochain complex `C`
 are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
@@ -512,12 +431,6 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
 
 variable (V)
 
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-Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingleₓ'. -/
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents

8eb9c42d

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -62,31 +62,19 @@ def single (j : ι) : V ⥤ HomologicalComplex V c
   map A B f :=
     {
       f := fun i =>
-        if h : i = j then
-          eqToHom
-              (by
-                dsimp
-                rw [if_pos h]) ≫
-            f ≫
-              eqToHom
-                (by
-                  dsimp
-                  rw [if_pos h])
+        if h : i = j then eqToHom (by dsimp; rw [if_pos h]) ≫ f ≫ eqToHom (by dsimp; rw [if_pos h])
         else 0 }
   map_id' A := by
     ext
     dsimp
     split_ifs with h
-    · subst h
-      simp
-    · rw [if_neg h]
-      simp
+    · subst h; simp
+    · rw [if_neg h]; simp
   map_comp' A B C f g := by
     ext
     dsimp
     split_ifs with h
-    · subst h
-      simp
+    · subst h; simp
     · simp
 #align homological_complex.single HomologicalComplex.single
 -/
@@ -110,9 +98,7 @@ Case conversion may be inaccurate. Consider using '#align homological_complex.si
 @[simp]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
     ((single V c j).map f).f j = (singleObjXSelf V c j A).Hom ≫ f ≫ (singleObjXSelf V c j B).inv :=
-  by
-  simp
-  rfl
+  by simp; rfl
 #align homological_complex.single_map_f_self HomologicalComplex.single_map_f_self
 
 instance (j : ι) : Faithful (single V c j)
@@ -132,8 +118,7 @@ instance (j : ι) : Full (single V c j)
     ext i
     dsimp
     split_ifs
-    · subst h
-      simp
+    · subst h; simp
     · symm
       apply zero_of_target_iso_zero
       dsimp
@@ -167,20 +152,8 @@ def single₀ : V ⥤ ChainComplex V ℕ
         match n with
         | 0 => f
         | n + 1 => 0 }
-  map_id' X := by
-    ext n
-    cases n
-    rfl
-    dsimp
-    unfold_aux
-    simp
-  map_comp' X Y Z f g := by
-    ext n
-    cases n
-    rfl
-    dsimp
-    unfold_aux
-    simp
+  map_id' X := by ext n; cases n; rfl; dsimp; unfold_aux; simp
+  map_comp' X Y Z f g := by ext n; cases n; rfl; dsimp; unfold_aux; simp
 #align chain_complex.single₀ ChainComplex.single₀
 -/
 
@@ -218,10 +191,8 @@ theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0
 <too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dToₓ'. -/
 @[simp]
-theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 :=
-  by
-  rw [d_to_eq ((single₀ V).obj X) rfl]
-  simp
+theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
+  rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
 
 /- warning: chain_complex.single₀_obj_X_d_from -> ChainComplex.single₀_obj_x_dFrom is a dubious translation:
@@ -231,10 +202,8 @@ Case conversion may be inaccurate. Consider using '#align chain_complex.single
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
   by
   cases i
-  · rw [d_from_eq_zero]
-    simp
-  · rw [d_from_eq ((single₀ V).obj X) rfl]
-    simp
+  · rw [d_from_eq_zero]; simp
+  · rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
 
 /- warning: chain_complex.single₀_map_f_0 -> ChainComplex.single₀_map_f_0 is a dubious translation:
@@ -263,10 +232,7 @@ is the same as doing nothing.
 -/
 noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
   NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
-    fun X Y f => by
-    ext
-    dsimp [homologyFunctor]
-    simp
+    fun X Y f => by ext; dsimp [homologyFunctor]; simp
 #align chain_complex.homology_functor_0_single₀ ChainComplex.homologyFunctor0Single₀
 -/
 
@@ -299,10 +265,7 @@ are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
 def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
     (C ⟶ (single₀ V).obj X) ≃ { f : C.pt 0 ⟶ X // C.d 1 0 ≫ f = 0 }
     where
-  toFun f :=
-    ⟨f.f 0, by
-      rw [← f.comm 1 0]
-      simp⟩
+  toFun f := ⟨f.f 0, by rw [← f.comm 1 0]; simp⟩
   invFun f :=
     { f := fun i =>
         match i with
@@ -312,11 +275,9 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
         by
         rcases i with (_ | _ | i) <;> cases j <;> unfold_aux <;>
           simp only [comp_zero, zero_comp, single₀_obj_X_d]
-        · rw [C.shape, zero_comp]
-          simp
+        · rw [C.shape, zero_comp]; simp
         · exact f.2.symm
-        · rw [C.shape, zero_comp]
-          simp [i.succ_succ_ne_one.symm] }
+        · rw [C.shape, zero_comp]; simp [i.succ_succ_ne_one.symm] }
   left_inv f := by
     ext i
     rcases i with ⟨⟩
@@ -331,10 +292,7 @@ Case conversion may be inaccurate. Consider using '#align chain_complex.to_singl
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
     (h : f.f 0 = g.f 0) : f = g :=
-  (toSingle₀Equiv C X).Injective
-    (by
-      ext
-      exact h)
+  (toSingle₀Equiv C X).Injective (by ext; exact h)
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
 
 /- warning: chain_complex.from_single₀_equiv -> ChainComplex.fromSingle₀Equiv is a dubious translation:
@@ -378,18 +336,12 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
     (fun X =>
       { Hom := { f := fun i => by cases i <;> simpa using 𝟙 _ }
         inv := { f := fun i => by cases i <;> simpa using 𝟙 _ }
-        hom_inv_id' := by
-          ext (_ | i) <;>
-            · dsimp
-              simp
+        hom_inv_id' := by ext (_ | i) <;> · dsimp; simp
         inv_hom_id' := by
           ext (_ | i)
           · apply category.id_comp
           · apply has_zero_object.to_zero_ext })
-    fun X Y f => by
-    ext (_ | i) <;>
-      · dsimp
-        simp
+    fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
 
 instance : Faithful (single₀ V) :=
@@ -424,20 +376,8 @@ def single₀ : V ⥤ CochainComplex V ℕ
         match n with
         | 0 => f
         | n + 1 => 0 }
-  map_id' X := by
-    ext n
-    cases n
-    rfl
-    dsimp
-    unfold_aux
-    simp
-  map_comp' X Y Z f g := by
-    ext n
-    cases n
-    rfl
-    dsimp
-    unfold_aux
-    simp
+  map_id' X := by ext n; cases n; rfl; dsimp; unfold_aux; simp
+  map_comp' X Y Z f g := by ext n; cases n; rfl; dsimp; unfold_aux; simp
 #align cochain_complex.single₀ CochainComplex.single₀
 -/
 
@@ -475,10 +415,8 @@ theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0
 <too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
-theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 :=
-  by
-  rw [d_from_eq ((single₀ V).obj X) rfl]
-  simp
+theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 := by
+  rw [d_from_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
 
 /- warning: cochain_complex.single₀_obj_X_d_to -> CochainComplex.single₀_obj_x_dTo is a dubious translation:
@@ -488,10 +426,8 @@ Case conversion may be inaccurate. Consider using '#align cochain_complex.single
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
   by
   cases i
-  · rw [d_to_eq_zero]
-    simp
-  · rw [d_to_eq ((single₀ V).obj X) rfl]
-    simp
+  · rw [d_to_eq_zero]; simp
+  · rw [d_to_eq ((single₀ V).obj X) rfl]; simp
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
 
 /- warning: cochain_complex.single₀_map_f_0 -> CochainComplex.single₀_map_f_0 is a dubious translation:
@@ -520,10 +456,7 @@ is the same as doing nothing.
 -/
 noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
   NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
-    fun X Y f => by
-    ext
-    dsimp [homologyFunctor]
-    simp
+    fun X Y f => by ext; dsimp [homologyFunctor]; simp
 #align cochain_complex.homology_functor_0_single₀ CochainComplex.homologyFunctor0Single₀
 -/
 
@@ -555,10 +488,7 @@ are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
 def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
     ((single₀ V).obj X ⟶ C) ≃ { f : X ⟶ C.pt 0 // f ≫ C.d 0 1 = 0 }
     where
-  toFun f :=
-    ⟨f.f 0, by
-      rw [f.comm 0 1]
-      simp⟩
+  toFun f := ⟨f.f 0, by rw [f.comm 0 1]; simp⟩
   invFun f :=
     { f := fun i =>
         match i with
@@ -568,13 +498,9 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
         by
         rcases j with (_ | _ | j) <;> cases i <;> unfold_aux <;>
           simp only [comp_zero, zero_comp, single₀_obj_X_d]
-        · convert comp_zero
-          rw [C.shape]
-          simp
+        · convert comp_zero; rw [C.shape]; simp
         · exact f.2
-        · convert comp_zero
-          rw [C.shape]
-          simp only [ComplexShape.up_Rel, zero_add]
+        · convert comp_zero; rw [C.shape]; simp only [ComplexShape.up_Rel, zero_add]
           exact (Nat.one_lt_succ_succ j).Ne }
   left_inv f := by
     ext i
@@ -598,18 +524,12 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
     (fun X =>
       { Hom := { f := fun i => by cases i <;> simpa using 𝟙 _ }
         inv := { f := fun i => by cases i <;> simpa using 𝟙 _ }
-        hom_inv_id' := by
-          ext (_ | i) <;>
-            · dsimp
-              simp
+        hom_inv_id' := by ext (_ | i) <;> · dsimp; simp
         inv_hom_id' := by
           ext (_ | i)
           · apply category.id_comp
           · apply has_zero_object.to_zero_ext })
-    fun X Y f => by
-    ext (_ | i) <;>
-      · dsimp
-        simp
+    fun X Y f => by ext (_ | i) <;> · dsimp; simp
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
 
 instance : Faithful (single₀ V) :=

8eb9c42d

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -105,10 +105,7 @@ def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).pt j ≅ A :=
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
 
 /- warning: homological_complex.single_map_f_self -> HomologicalComplex.single_map_f_self is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align homological_complex.single_map_f_self HomologicalComplex.single_map_f_selfₓ'. -/
 @[simp]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
@@ -210,10 +207,7 @@ theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1
 #align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
@@ -221,10 +215,7 @@ theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0
 #align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
 
 /- warning: chain_complex.single₀_obj_X_d_to -> ChainComplex.single₀_obj_X_dTo is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dToₓ'. -/
 @[simp]
 theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 :=
@@ -234,10 +225,7 @@ theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0
 #align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
 
 /- warning: chain_complex.single₀_obj_X_d_from -> ChainComplex.single₀_obj_x_dFrom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
@@ -250,10 +238,7 @@ theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
 
 /- warning: chain_complex.single₀_map_f_0 -> ChainComplex.single₀_map_f_0 is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
@@ -261,10 +246,7 @@ theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 =
 #align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
 
 /- warning: chain_complex.single₀_map_f_succ -> ChainComplex.single₀_map_f_succ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
@@ -307,10 +289,7 @@ end
 variable {V}
 
 /- warning: chain_complex.to_single₀_equiv -> ChainComplex.toSingle₀Equiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equivₓ'. -/
 /-- Morphisms from a `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
@@ -347,10 +326,7 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
 #align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
 
 /- warning: chain_complex.to_single₀_ext -> ChainComplex.to_single₀_ext is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_ext ChainComplex.to_single₀_extₓ'. -/
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
@@ -362,10 +338,7 @@ theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
 
 /- warning: chain_complex.from_single₀_equiv -> ChainComplex.fromSingle₀Equiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
@@ -491,10 +464,7 @@ theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1
 #align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
 theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
@@ -502,10 +472,7 @@ theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0
 #align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
 
 /- warning: cochain_complex.single₀_obj_X_d_from -> CochainComplex.single₀_obj_x_dFrom is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 :=
@@ -515,10 +482,7 @@ theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
 
 /- warning: cochain_complex.single₀_obj_X_d_to -> CochainComplex.single₀_obj_x_dTo is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dToₓ'. -/
 @[simp]
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
@@ -531,10 +495,7 @@ theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
 
 /- warning: cochain_complex.single₀_map_f_0 -> CochainComplex.single₀_map_f_0 is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
@@ -542,10 +503,7 @@ theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 =
 #align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
 
 /- warning: cochain_complex.single₀_map_f_succ -> CochainComplex.single₀_map_f_succ is a dubious translation:
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Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
@@ -588,10 +546,7 @@ end
 variable {V}
 
 /- warning: cochain_complex.from_single₀_equiv -> CochainComplex.fromSingle₀Equiv is a dubious translation:
-lean 3 declaration is
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Nat.hasOne) C (One.one.{0} Nat Nat.hasOne))))))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.from_single₀_equiv CochainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed cochain complex `C`

8eb9c42d

bump to nightly-2023-04-20-02

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

70125a69

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.homology.single
-! leanprover-community/mathlib commit 324a7502510e835cdbd3de1519b6c66b51fb2467
+! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Homology.Homology
 /-!
 # Chain complexes supported in a single degree
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `single V j c : V ⥤ homological_complex V c`,
 which constructs complexes in `V` of shape `c`, supported in degree `j`.

324a7502

bump to nightly-2023-04-20-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af

d6678ca6

Diff

@@ -43,6 +43,7 @@ variable {ι : Type _} [DecidableEq ι] (c : ComplexShape ι)
 
 attribute [local instance] has_zero_object.has_zero
 
+#print HomologicalComplex.single /-
 /-- The functor `V ⥤ homological_complex V c` creating a chain complex supported in a single degree.
 
 See also `chain_complex.single₀ : V ⥤ chain_complex V ℕ`,
@@ -85,7 +86,14 @@ def single (j : ι) : V ⥤ HomologicalComplex V c
       simp
     · simp
 #align homological_complex.single HomologicalComplex.single
+-/
 
+/- warning: homological_complex.single_obj_X_self -> HomologicalComplex.singleObjXSelf 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 homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelfₓ'. -/
 /-- The object in degree `j` of `(single V c h).obj A` is just `A`.
 -/
 @[simps]
@@ -93,6 +101,12 @@ def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).pt j ≅ A :=
   eqToIso (by simp)
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
 
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+Case conversion may be inaccurate. Consider using '#align homological_complex.single_map_f_self HomologicalComplex.single_map_f_selfₓ'. -/
 @[simp]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
     ((single V c j).map f).f j = (singleObjXSelf V c j A).Hom ≫ f ≫ (singleObjXSelf V c j B).inv :=
@@ -133,6 +147,7 @@ namespace ChainComplex
 
 attribute [local instance] has_zero_object.has_zero
 
+#print ChainComplex.single₀ /-
 /-- `chain_complex.single₀ V` is the embedding of `V` into `chain_complex V ℕ`
 as chain complexes supported in degree 0.
 
@@ -167,29 +182,60 @@ def single₀ : V ⥤ ChainComplex V ℕ
     unfold_aux
     simp
 #align chain_complex.single₀ ChainComplex.single₀
+-/
 
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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0ₓ'. -/
 @[simp]
-theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
+theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
-#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_x_0
-
+#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0
+
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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succₓ'. -/
 @[simp]
-theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
+theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
-#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_x_succ
-
+#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
+
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
-theorem single₀_obj_x_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
+theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
-#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_x_d
-
+#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
+
+/- warning: chain_complex.single₀_obj_X_d_to -> ChainComplex.single₀_obj_X_dTo is a dubious translation:
+lean 3 declaration is
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Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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)) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) X) j) (HomologicalComplex.x.{u1, u2, 0} Nat V _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) (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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)) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) X) j)))))
+but is expected to have type
+  forall (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] (X : V) (j : Nat), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (HomologicalComplex.xPrev.{u1, u2, 0} Nat V _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)) (Prefunctor.obj.{succ u1, succ u1, u2, max u2 u1} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V 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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dToₓ'. -/
 @[simp]
-theorem single₀_obj_x_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 :=
+theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 :=
   by
   rw [d_to_eq ((single₀ V).obj X) rfl]
   simp
-#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_x_dTo
-
+#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
+
+/- warning: chain_complex.single₀_obj_X_d_from -> ChainComplex.single₀_obj_x_dFrom 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 chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 :=
   by
@@ -200,11 +246,23 @@ theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i
     simp
 #align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
 
+/- warning: chain_complex.single₀_map_f_0 -> ChainComplex.single₀_map_f_0 is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
 
+/- warning: chain_complex.single₀_map_f_succ -> ChainComplex.single₀_map_f_succ is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))))
+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
@@ -214,6 +272,7 @@ section
 
 variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 
+#print ChainComplex.homologyFunctor0Single₀ /-
 /-- Sending objects to chain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
@@ -224,7 +283,9 @@ noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V
     dsimp [homologyFunctor]
     simp
 #align chain_complex.homology_functor_0_single₀ ChainComplex.homologyFunctor0Single₀
+-/
 
+#print ChainComplex.homologyFunctorSuccSingle₀ /-
 /-- Sending objects to chain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
@@ -236,11 +297,18 @@ noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
         homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun X Y f => (functor.zero_obj _).eq_of_tgt _ _
 #align chain_complex.homology_functor_succ_single₀ ChainComplex.homologyFunctorSuccSingle₀
+-/
 
 end
 
 variable {V}
 
+/- warning: chain_complex.to_single₀_equiv -> ChainComplex.toSingle₀Equiv is a dubious translation:
+lean 3 declaration is
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Nat.strictOrderedSemiring))))) Nat.hasOne) C (One.one.{0} Nat Nat.hasOne)) X))))))
+but is expected to have type
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(CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} V _inst_1 _inst_2 (HomologicalComplex.X.{u1, u2, 0} Nat V _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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) X)))))
+Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equivₓ'. -/
 /-- Morphisms from a `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
 are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
@@ -275,6 +343,12 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
   right_inv := by tidy
 #align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
 
+/- warning: chain_complex.to_single₀_ext -> ChainComplex.to_single₀_ext is a dubious translation:
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_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) C (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (HomologicalComplex.x.{u1, u2, 0} Nat V _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) (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _inst_1 _inst_2 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat 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Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) C (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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)) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) X) f (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (HomologicalComplex.Hom.f.{u1, u2, 0} Nat V _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) C (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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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(AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne)) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) X)) f g)
+but is expected to have type
+  forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] {C : ChainComplex.{u1, u2, 0} V _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)} {X : V} (f : Quiver.Hom.{succ u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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 chain_complex.to_single₀_ext ChainComplex.to_single₀_extₓ'. -/
 @[ext]
 theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
     (h : f.f 0 = g.f 0) : f = g :=
@@ -284,6 +358,12 @@ theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single
       exact h)
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
 
+/- warning: chain_complex.from_single₀_equiv -> ChainComplex.fromSingle₀Equiv is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] (C : ChainComplex.{u1, u2, 0} V _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) (X : V), Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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.{u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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.{u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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)))) (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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)) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) X) C) (Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) X (HomologicalComplex.x.{u1, u2, 0} Nat V _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) C (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))
+but is expected to have type
+  forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] (C : ChainComplex.{u1, u2, 0} V _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)) (X : V), Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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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(AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _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.{u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _inst_1 _inst_2 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat 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+Case conversion may be inaccurate. Consider using '#align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
 -/
@@ -310,6 +390,12 @@ def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X 
 
 variable (V)
 
+/- warning: chain_complex.single₀_iso_single -> ChainComplex.single₀IsoSingle is a dubious translation:
+lean 3 declaration is
+  forall (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1], CategoryTheory.Iso.{max u2 u1, max u2 u1} (CategoryTheory.Functor.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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))) (CategoryTheory.Functor.category.{u1, u1, u2, max u2 u1} V _inst_1 (ChainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _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))) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) (HomologicalComplex.single.{u1, u2, 0} V _inst_1 _inst_2 _inst_3 Nat (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (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) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))
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+Case conversion may be inaccurate. Consider using '#align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingleₓ'. -/
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents
@@ -342,6 +428,7 @@ namespace CochainComplex
 
 attribute [local instance] has_zero_object.has_zero
 
+#print CochainComplex.single₀ /-
 /-- `cochain_complex.single₀ V` is the embedding of `V` into `cochain_complex V ℕ`
 as cochain complexes supported in degree 0.
 
@@ -376,22 +463,47 @@ def single₀ : V ⥤ CochainComplex V ℕ
     unfold_aux
     simp
 #align cochain_complex.single₀ CochainComplex.single₀
+-/
 
+/- warning: cochain_complex.single₀_obj_X_0 -> CochainComplex.single₀_obj_X_0 is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0ₓ'. -/
 @[simp]
-theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
+theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
-#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_x_0
-
+#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0
+
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succₓ'. -/
 @[simp]
-theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
+theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
-#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_x_succ
-
+#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
+
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_dₓ'. -/
 @[simp]
-theorem single₀_obj_x_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
+theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
   rfl
-#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_x_d
-
+#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
+
+/- warning: cochain_complex.single₀_obj_X_d_from -> CochainComplex.single₀_obj_x_dFrom is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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))) (CochainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3)) X) j) 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Nat.canonicallyOrderedCommSemiring))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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 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+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFromₓ'. -/
 @[simp]
 theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 :=
   by
@@ -399,6 +511,12 @@ theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j
   simp
 #align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
 
+/- warning: cochain_complex.single₀_obj_X_d_to -> CochainComplex.single₀_obj_x_dTo 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 cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dToₓ'. -/
 @[simp]
 theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 :=
   by
@@ -409,11 +527,23 @@ theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0
     simp
 #align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
 
+/- warning: cochain_complex.single₀_map_f_0 -> CochainComplex.single₀_map_f_0 is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0ₓ'. -/
 @[simp]
 theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
   rfl
 #align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
 
+/- warning: cochain_complex.single₀_map_f_succ -> CochainComplex.single₀_map_f_succ is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _inst_1 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Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))))
+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succₓ'. -/
 @[simp]
 theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
   rfl
@@ -423,6 +553,7 @@ section
 
 variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 
+#print CochainComplex.homologyFunctor0Single₀ /-
 /-- Sending objects to cochain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
@@ -433,7 +564,9 @@ noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V
     dsimp [homologyFunctor]
     simp
 #align cochain_complex.homology_functor_0_single₀ CochainComplex.homologyFunctor0Single₀
+-/
 
+#print CochainComplex.homologyFunctorSuccSingle₀ /-
 /-- Sending objects to cochain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
@@ -445,11 +578,18 @@ noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
         homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun X Y f => (functor.zero_obj _).eq_of_tgt _ _
 #align cochain_complex.homology_functor_succ_single₀ CochainComplex.homologyFunctorSuccSingle₀
+-/
 
 end
 
 variable {V}
 
+/- warning: cochain_complex.from_single₀_equiv -> CochainComplex.fromSingle₀Equiv is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.from_single₀_equiv CochainComplex.fromSingle₀Equivₓ'. -/
 /-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
 to a `ℕ`-indexed cochain complex `C`
 are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
@@ -488,6 +628,12 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
 
 variable (V)
 
+/- warning: cochain_complex.single₀_iso_single -> CochainComplex.single₀IsoSingle is a dubious translation:
+lean 3 declaration is
+  forall (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1], CategoryTheory.Iso.{max u2 u1, max u2 u1} (CategoryTheory.Functor.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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))) (CategoryTheory.Functor.category.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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))) (CochainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) (HomologicalComplex.single.{u1, u2, 0} V _inst_1 _inst_2 _inst_3 Nat (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (ComplexShape.up.{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) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))
+but is expected to have type
+  forall (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1], CategoryTheory.Iso.{max u2 u1, max u2 u1} (CategoryTheory.Functor.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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)))) (CategoryTheory.Functor.category.{u1, u1, u2, max u2 u1} V _inst_1 (CochainComplex.{u1, u2, 0} V _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.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{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)))) (CochainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3) (HomologicalComplex.single.{u1, u2, 0} V _inst_1 _inst_2 _inst_3 Nat (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (ComplexShape.up.{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)) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))
+Case conversion may be inaccurate. Consider using '#align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingleₓ'. -/
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
   NatIso.ofComponents

324a7502

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -53,7 +53,7 @@ if you are working with `ℕ`-indexed complexes.
 def single (j : ι) : V ⥤ HomologicalComplex V c
     where
   obj A :=
-    { x := fun i => if i = j then A else 0
+    { pt := fun i => if i = j then A else 0
       d := fun i j => 0 }
   map A B f :=
     {
@@ -89,7 +89,7 @@ def single (j : ι) : V ⥤ HomologicalComplex V c
 /-- The object in degree `j` of `(single V c h).obj A` is just `A`.
 -/
 @[simps]
-def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).x j ≅ A :=
+def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).pt j ≅ A :=
   eqToIso (by simp)
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
 
@@ -141,7 +141,7 @@ This is naturally isomorphic to `single V _ 0`, but has better definitional prop
 def single₀ : V ⥤ ChainComplex V ℕ
     where
   obj X :=
-    { x := fun n =>
+    { pt := fun n =>
         match n with
         | 0 => X
         | n + 1 => 0
@@ -169,12 +169,12 @@ def single₀ : V ⥤ ChainComplex V ℕ
 #align chain_complex.single₀ ChainComplex.single₀
 
 @[simp]
-theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).x 0 = X :=
+theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_x_0
 
 @[simp]
-theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).x (n + 1) = 0 :=
+theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_x_succ
 
@@ -247,7 +247,7 @@ are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
 -/
 @[simps]
 def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
-    (C ⟶ (single₀ V).obj X) ≃ { f : C.x 0 ⟶ X // C.d 1 0 ≫ f = 0 }
+    (C ⟶ (single₀ V).obj X) ≃ { f : C.pt 0 ⟶ X // C.d 1 0 ≫ f = 0 }
     where
   toFun f :=
     ⟨f.f 0, by
@@ -288,7 +288,7 @@ theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single
 to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
 -/
 @[simps]
-def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X ⟶ C) ≃ (X ⟶ C.x 0)
+def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X ⟶ C) ≃ (X ⟶ C.pt 0)
     where
   toFun f := f.f 0
   invFun f :=
@@ -350,7 +350,7 @@ This is naturally isomorphic to `single V _ 0`, but has better definitional prop
 def single₀ : V ⥤ CochainComplex V ℕ
     where
   obj X :=
-    { x := fun n =>
+    { pt := fun n =>
         match n with
         | 0 => X
         | n + 1 => 0
@@ -378,12 +378,12 @@ def single₀ : V ⥤ CochainComplex V ℕ
 #align cochain_complex.single₀ CochainComplex.single₀
 
 @[simp]
-theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).x 0 = X :=
+theorem single₀_obj_x_0 (X : V) : ((single₀ V).obj X).pt 0 = X :=
   rfl
 #align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_x_0
 
 @[simp]
-theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).x (n + 1) = 0 :=
+theorem single₀_obj_x_succ (X : V) (n : ℕ) : ((single₀ V).obj X).pt (n + 1) = 0 :=
   rfl
 #align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_x_succ
 
@@ -455,7 +455,7 @@ to a `ℕ`-indexed cochain complex `C`
 are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
 -/
 def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
-    ((single₀ V).obj X ⟶ C) ≃ { f : X ⟶ C.x 0 // f ≫ C.d 0 1 = 0 }
+    ((single₀ V).obj X ⟶ C) ≃ { f : X ⟶ C.pt 0 // f ≫ C.d 0 1 = 0 }
     where
   toFun f :=
     ⟨f.f 0, by

324a7502

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

324a7502

chore(CategoryTheory): make Functor.Full a Prop (#12449)

Before this PR, Functor.Full contained the data of the preimage of maps by a full functor F. This PR makes Functor.Full a proposition. This is to prevent any diamond to appear.

The lemma Functor.image_preimage is also renamed Functor.map_preimage.

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

ce289a0e

Diff

@@ -117,11 +117,11 @@ instance (j : ι) : (single V c j).Faithful where
       ← cancel_epi (singleObjXSelf c j A).hom, ← single_map_f_self,
       ← single_map_f_self, w]
 
-noncomputable instance (j : ι) : (single V c j).Full where
-  preimage {A B} f := (singleObjXSelf c j A).inv ≫ f.f j ≫ (singleObjXSelf c j B).hom
-  witness f := by
-    ext
-    simp [single_map_f_self]
+instance (j : ι) : (single V c j).Full where
+  map_surjective {A B} f :=
+    ⟨(singleObjXSelf c j A).inv ≫ f.f j ≫ (singleObjXSelf c j B).hom, by
+      ext
+      simp [single_map_f_self]⟩
 
 variable {c}

324a7502

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

65b7affc

Diff

@@ -111,13 +111,13 @@ lemma to_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
     exact hfg
   · apply (isZero_single_obj_X c j A i h).eq_of_tgt
 
-instance (j : ι) : Faithful (single V c j) where
+instance (j : ι) : (single V c j).Faithful where
   map_injective {A B f g} w := by
     rw [← cancel_mono (singleObjXSelf c j B).inv,
       ← cancel_epi (singleObjXSelf c j A).hom, ← single_map_f_self,
       ← single_map_f_self, w]
 
-noncomputable instance (j : ι) : Full (single V c j) where
+noncomputable instance (j : ι) : (single V c j).Full where
   preimage {A B} f := (singleObjXSelf c j A).inv ≫ f.f j ≫ (singleObjXSelf c j B).hom
   witness f := by
     ext

324a7502

chore: add missing hypothesis names to by_cases (#8533)

I've also got a change to make this required, but I'd like to land this first.

2009db69

Diff

@@ -97,7 +97,7 @@ theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
 lemma from_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
     {f g : (single V c j).obj A ⟶ K} (hfg : f.f j = g.f j) : f = g := by
   ext i
-  by_cases i = j
+  by_cases h : i = j
   · subst h
     exact hfg
   · apply (isZero_single_obj_X c j A i h).eq_of_src
@@ -106,7 +106,7 @@ lemma from_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
 lemma to_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
     {f g : K ⟶ (single V c j).obj A} (hfg : f.f j = g.f j) : f = g := by
   ext i
-  by_cases i = j
+  by_cases h : i = j
   · subst h
     exact hfg
   · apply (isZero_single_obj_X c j A i h).eq_of_tgt

324a7502

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -229,6 +229,7 @@ noncomputable def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
   invFun f := HomologicalComplex.mkHomFromSingle f (fun i hi => by simp at hi)
   left_inv := by aesop_cat
   right_inv := by aesop_cat
+#align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equiv
 
 @[simp]
 lemma fromSingle₀Equiv_symm_apply_f_zero

324a7502

refactor(Algebra/Homology): remove single₀ (#8208)

This PR removes the special definitions of single₀ for chain and cochain complexes, so as to avoid duplication of code with HomologicalComplex.single which is the functor constructing the complex that is supported by a single arbitrary degree. single₀ was supposed to have better definitional properties, but it turns out that in Lean4, it is no longer true (at least for the action of this functor on objects). The computation of the homology of these single complexes is generalized for HomologicalComplex.single using the new homology API: this result is moved to a separate file Algebra.Homology.SingleHomology.

ecdd87a3

Diff

@@ -3,34 +3,25 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathlib.Algebra.Homology.Homology
+import Mathlib.Algebra.Homology.HomologicalComplex
 
 #align_import algebra.homology.single from "leanprover-community/mathlib"@"324a7502510e835cdbd3de1519b6c66b51fb2467"
 
 /-!
-# Chain complexes supported in a single degree
+# Homological complexes supported in a single degree
 
 We define `single V j c : V ⥤ HomologicalComplex V c`,
 which constructs complexes in `V` of shape `c`, supported in degree `j`.
 
-Similarly `single₀ V : V ⥤ ChainComplex V ℕ` is the special case for
-`ℕ`-indexed chain complexes, with the object supported in degree `0`,
-but with better definitional properties.
-
-In `toSingle₀Equiv` we characterize chain maps to an `ℕ`-indexed complex concentrated in degree 0;
-they are equivalent to `{ f : C.X 0 ⟶ X // C.d 1 0 ≫ f = 0 }`.
+In `ChainComplex.toSingle₀Equiv` we characterize chain maps to an
+`ℕ`-indexed complex concentrated in degree 0; they are equivalent to
+`{ f : C.X 0 ⟶ X // C.d 1 0 ≫ f = 0 }`.
 (This is useful translating between a projective resolution and
 an augmented exact complex of projectives.)
--/
-
-
-noncomputable section
 
-open CategoryTheory
-
-open CategoryTheory.Limits
+-/
 
-open ZeroObject
+open CategoryTheory Category Limits ZeroObject
 
 universe v u
 
@@ -41,13 +32,8 @@ namespace HomologicalComplex
 variable {ι : Type*} [DecidableEq ι] (c : ComplexShape ι)
 
 /-- The functor `V ⥤ HomologicalComplex V c` creating a chain complex supported in a single degree.
-
-See also `ChainComplex.single₀ : V ⥤ ChainComplex V ℕ`,
-which has better definitional properties,
-if you are working with `ℕ`-indexed complexes.
 -/
-@[simps]
-def single (j : ι) : V ⥤ HomologicalComplex V c where
+noncomputable def single (j : ι) : V ⥤ HomologicalComplex V c where
   obj A :=
     { X := fun i => if i = j then A else 0
       d := fun i j => 0 }
@@ -71,397 +57,255 @@ def single (j : ι) : V ⥤ HomologicalComplex V c where
     · simp
 #align homological_complex.single HomologicalComplex.single
 
-/-- The object in degree `j` of `(single V c h).obj A` is just `A`.
--/
-@[simps!]
-def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).X j ≅ A :=
-  eqToIso (by simp)
+variable {V}
+
+@[simp]
+lemma single_obj_X_self (j : ι) (A : V) :
+    ((single V c j).obj A).X j = A := if_pos rfl
+
+lemma isZero_single_obj_X (j : ι) (A : V) (i : ι) (hi : i ≠ j) :
+    IsZero (((single V c j).obj A).X i) := by
+  dsimp [single]
+  rw [if_neg hi]
+  exact Limits.isZero_zero V
+
+/-- The object in degree `i` of `(single V c h).obj A` is just `A` when `i = j`. -/
+noncomputable def singleObjXIsoOfEq (j : ι) (A : V) (i : ι) (hi : i = j) :
+    ((single V c j).obj A).X i ≅ A :=
+  eqToIso (by subst hi; simp [single])
+
+/-- The object in degree `j` of `(single V c h).obj A` is just `A`. -/
+noncomputable def singleObjXSelf (j : ι) (A : V) : ((single V c j).obj A).X j ≅ A :=
+  singleObjXIsoOfEq c j A j rfl
 set_option linter.uppercaseLean3 false in
 #align homological_complex.single_obj_X_self HomologicalComplex.singleObjXSelf
 
-@[simp 1100]
+@[simp]
+lemma single_obj_d (j : ι) (A : V) (k l : ι) :
+    ((single V c j).obj A).d k l = 0 := rfl
+
+@[reassoc]
 theorem single_map_f_self (j : ι) {A B : V} (f : A ⟶ B) :
-    ((single V c j).map f).f j = (singleObjXSelf V c j A).hom ≫
-      f ≫ (singleObjXSelf V c j B).inv := by simp
+    ((single V c j).map f).f j = (singleObjXSelf c j A).hom ≫
+      f ≫ (singleObjXSelf c j B).inv := by
+  dsimp [single]
+  rw [dif_pos rfl]
+  rfl
 #align homological_complex.single_map_f_self HomologicalComplex.single_map_f_self
 
-instance (j : ι) : Faithful (single V c j) where
-  map_injective w := by
-    have := congr_hom w j
-    dsimp at this
-    simp only [dif_pos] at this
-    rw [← IsIso.inv_comp_eq, inv_eqToHom, eqToHom_trans_assoc, eqToHom_refl,
-      Category.id_comp, ← IsIso.comp_inv_eq, Category.assoc, inv_eqToHom, eqToHom_trans,
-      eqToHom_refl, Category.comp_id] at this
-    exact this
-
-instance (j : ι) : Full (single V c j) where
-  preimage f := eqToHom (by simp) ≫ f.f j ≫ eqToHom (by simp)
-  witness f := by
-    ext i
-    dsimp
-    split_ifs with h
-    · subst h
-      simp
-    · symm
-      apply zero_of_target_iso_zero
-      dsimp
-      rw [if_neg h]
-
-end HomologicalComplex
-
-open HomologicalComplex
+@[ext]
+lemma from_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
+    {f g : (single V c j).obj A ⟶ K} (hfg : f.f j = g.f j) : f = g := by
+  ext i
+  by_cases i = j
+  · subst h
+    exact hfg
+  · apply (isZero_single_obj_X c j A i h).eq_of_src
 
-namespace ChainComplex
+@[ext]
+lemma to_single_hom_ext {K : HomologicalComplex V c} {j : ι} {A : V}
+    {f g : K ⟶ (single V c j).obj A} (hfg : f.f j = g.f j) : f = g := by
+  ext i
+  by_cases i = j
+  · subst h
+    exact hfg
+  · apply (isZero_single_obj_X c j A i h).eq_of_tgt
 
-/-- `ChainComplex.single₀ V` is the embedding of `V` into `ChainComplex V ℕ`
-as chain complexes supported in degree 0.
+instance (j : ι) : Faithful (single V c j) where
+  map_injective {A B f g} w := by
+    rw [← cancel_mono (singleObjXSelf c j B).inv,
+      ← cancel_epi (singleObjXSelf c j A).hom, ← single_map_f_self,
+      ← single_map_f_self, w]
 
-This is naturally isomorphic to `single V _ 0`, but has better definitional properties.
--/
-def single₀ : V ⥤ ChainComplex V ℕ where
-  obj X :=
-    { X := fun n =>
-        match n with
-        | 0 => X
-        | _ + 1 => 0
-      d := fun i j => 0 }
-  map f :=
-    { f := fun n =>
-        match n with
-        | 0 => f
-        | n + 1 => 0 }
-#align chain_complex.single₀ ChainComplex.single₀
+noncomputable instance (j : ι) : Full (single V c j) where
+  preimage {A B} f := (singleObjXSelf c j A).inv ≫ f.f j ≫ (singleObjXSelf c j B).hom
+  witness f := by
+    ext
+    simp [single_map_f_self]
+
+variable {c}
+
+/-- Constructor for morphisms to a single homological complex. -/
+noncomputable def mkHomToSingle {K : HomologicalComplex V c} {j : ι} {A : V} (φ : K.X j ⟶ A)
+    (hφ : ∀ (i : ι), c.Rel i j → K.d i j ≫ φ = 0) :
+    K ⟶ (single V c j).obj A where
+  f i :=
+    if hi : i = j
+      then (K.XIsoOfEq hi).hom ≫ φ ≫ (singleObjXIsoOfEq c j A i hi).inv
+      else 0
+  comm' i k hik := by
+    dsimp
+    rw [comp_zero]
+    split_ifs with hk
+    · subst hk
+      simp only [XIsoOfEq_rfl, Iso.refl_hom, id_comp, reassoc_of% hφ i hik, zero_comp]
+    · apply (isZero_single_obj_X c j A k hk).eq_of_tgt
 
 @[simp]
-theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).X 0 = X :=
+lemma mkHomToSingle_f {K : HomologicalComplex V c} {j : ι} {A : V} (φ : K.X j ⟶ A)
+    (hφ : ∀ (i : ι), c.Rel i j → K.d i j ≫ φ = 0) :
+    (mkHomToSingle φ hφ).f j = φ ≫ (singleObjXSelf c j A).inv := by
+  dsimp [mkHomToSingle]
+  rw [dif_pos rfl, id_comp]
   rfl
-set_option linter.uppercaseLean3 false in
-#align chain_complex.single₀_obj_X_0 ChainComplex.single₀_obj_X_0
 
-@[simp]
-theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).X (n + 1) = 0 :=
-  rfl
-set_option linter.uppercaseLean3 false in
-#align chain_complex.single₀_obj_X_succ ChainComplex.single₀_obj_X_succ
+/-- Constructor for morphisms from a single homological complex. -/
+noncomputable def mkHomFromSingle {K : HomologicalComplex V c} {j : ι} {A : V} (φ : A ⟶ K.X j)
+    (hφ : ∀ (k : ι), c.Rel j k → φ ≫ K.d j k = 0) :
+    (single V c j).obj A ⟶ K where
+  f i :=
+    if hi : i = j
+      then (singleObjXIsoOfEq c j A i hi).hom ≫ φ ≫ (K.XIsoOfEq hi).inv
+      else 0
+  comm' i k hik := by
+    dsimp
+    rw [zero_comp]
+    split_ifs with hi
+    · subst hi
+      simp only [XIsoOfEq_rfl, Iso.refl_inv, comp_id, assoc, hφ k hik, comp_zero]
+    · apply (isZero_single_obj_X c j A i hi).eq_of_src
 
 @[simp]
-theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
+lemma mkHomFromSingle_f {K : HomologicalComplex V c} {j : ι} {A : V} (φ : A ⟶ K.X j)
+    (hφ : ∀ (k : ι), c.Rel j k → φ ≫ K.d j k = 0) :
+    (mkHomFromSingle φ hφ).f j = (singleObjXSelf c j A).hom ≫ φ := by
+  dsimp [mkHomFromSingle]
+  rw [dif_pos rfl, comp_id]
   rfl
-set_option linter.uppercaseLean3 false in
-#align chain_complex.single₀_obj_X_d ChainComplex.single₀_obj_X_d
 
-@[simp]
-theorem single₀_obj_X_dTo (X : V) (j : ℕ) : ((single₀ V).obj X).dTo j = 0 := by
-  rw [dTo_eq ((single₀ V).obj X) rfl]
-  simp
-set_option linter.uppercaseLean3 false in
-#align chain_complex.single₀_obj_X_d_to ChainComplex.single₀_obj_X_dTo
-
-@[simp]
-theorem single₀_obj_x_dFrom (X : V) (i : ℕ) : ((single₀ V).obj X).dFrom i = 0 := by
-  cases i
-  · rw [dFrom_eq_zero]
-    simp
-  · erw [dFrom_eq ((single₀ V).obj X) rfl]
-    simp
-set_option linter.uppercaseLean3 false in
-#align chain_complex.single₀_obj_X_d_from ChainComplex.single₀_obj_x_dFrom
-
-@[simp]
-theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
-  rfl
-#align chain_complex.single₀_map_f_0 ChainComplex.single₀_map_f_0
+end HomologicalComplex
 
-@[simp]
-theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
-  rfl
-#align chain_complex.single₀_map_f_succ ChainComplex.single₀_map_f_succ
+namespace ChainComplex
 
-section
+/-- The functor `V ⥤ ChainComplex V ℕ` creating a chain complex supported in degree zero. -/
+noncomputable abbrev single₀ : V ⥤ ChainComplex V ℕ :=
+  HomologicalComplex.single V (ComplexShape.down ℕ) 0
 
-variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
+variable {V}
 
-/-- Sending objects to chain complexes supported at `0` then taking `0`-th homology
-is the same as doing nothing.
--/
-noncomputable def homology'Functor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
-    fun f => by
-      -- Porting note: why can't `aesop_cat` do this?
-      dsimp
-      ext
-      simp
-#align chain_complex.homology_functor_0_single₀ ChainComplex.homology'Functor0Single₀
+@[simp, nolint simpNF]
+lemma single₀_obj_zero (A : V) :
+    ((single₀ V).obj A).X 0 = A := rfl
 
-/-- Sending objects to chain complexes supported at `0` then taking `(n+1)`-st homology
-is the same as the zero functor.
--/
-noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
-  NatIso.ofComponents
-    (fun X =>
-      homology'.congr _ _ (by simp) (by simp) ≪≫
-        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
-    fun f => (Functor.zero_obj _).eq_of_tgt _ _
-#align chain_complex.homology_functor_succ_single₀ ChainComplex.homology'FunctorSuccSingle₀
+@[simp]
+lemma single₀_map_f_zero {A B : V} (f : A ⟶ B) :
+    ((single₀ V).map f).f 0 = f := by
+  rw [HomologicalComplex.single_map_f_self]
+  dsimp [HomologicalComplex.singleObjXSelf, HomologicalComplex.singleObjXIsoOfEq]
+  erw [comp_id, id_comp]
 
-end
 
-variable {V}
+@[simp]
+lemma single₀ObjXSelf (X : V) :
+    HomologicalComplex.singleObjXSelf (ComplexShape.down ℕ) 0 X = Iso.refl _ := rfl
 
 /-- Morphisms from an `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
 are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
 -/
-@[simps]
-def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
+@[simps apply_coe]
+noncomputable def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
     (C ⟶ (single₀ V).obj X) ≃ { f : C.X 0 ⟶ X // C.d 1 0 ≫ f = 0 } where
-  toFun f :=
-    ⟨f.f 0, by
-      rw [← f.comm 1 0]
-      simp⟩
-  invFun f :=
-    { f := fun i =>
-        match i with
-        | 0 => f.1
-        | n + 1 => 0
-      comm' := fun i j h => by
-        rcases i with (_|_|i) <;> cases j <;> simp only [single₀_obj_X_d, comp_zero]
-        · rw [C.shape, zero_comp]
-          simp
-        · exact f.2.symm
-        · rw [C.shape, zero_comp]
-          exact i.succ_succ_ne_one.symm }
-  left_inv f := by
-    ext i
-    rcases i with ⟨⟩
-    · rfl
-    · dsimp
-      ext
-  right_inv := by aesop_cat
-#align chain_complex.to_single₀_equiv ChainComplex.toSingle₀Equiv
+  toFun φ := ⟨φ.f 0, by rw [← φ.comm 1 0, HomologicalComplex.single_obj_d, comp_zero]⟩
+  invFun f := HomologicalComplex.mkHomToSingle f.1 (fun i hi => by
+    obtain rfl : i = 1 := by simpa using hi.symm
+    exact f.2)
+  left_inv φ := by aesop_cat
+  right_inv f := by aesop_cat
 
-@[ext]
-theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single₀ V).obj X)
-    (h : f.f 0 = g.f 0) : f = g :=
-  (toSingle₀Equiv C X).injective
-    (by
-      ext
-      exact h)
-#align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
+@[simp]
+lemma toSingle₀Equiv_symm_apply_f_zero {C : ChainComplex V ℕ} {X : V}
+    (f : C.X 0 ⟶ X) (hf : C.d 1 0 ≫ f = 0) :
+    ((toSingle₀Equiv C X).symm ⟨f, hf⟩).f 0 = f := by
+  simp [toSingle₀Equiv]
 
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
-to an `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
+to an `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X 0`.
 -/
-@[simps]
-def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X ⟶ C) ≃ (X ⟶ C.X 0) where
+@[simps apply]
+noncomputable def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
+    ((single₀ V).obj X ⟶ C) ≃ (X ⟶ C.X 0) where
   toFun f := f.f 0
-  invFun f :=
-    { f := fun i =>
-        match i with
-        | 0 => f
-        | n + 1 => 0
-      comm' := fun i j h => by
-        cases i <;> cases j <;>
-          simp only [shape, ComplexShape.down_Rel, Nat.one_ne_zero, not_false_iff,
-            zero_comp, single₀_obj_X_d, Nat.zero_eq, add_eq_zero, comp_zero] }
-  left_inv f := by
-    ext i
-    cases i
-    · rfl
-    · dsimp
-      ext
-  right_inv g := rfl
-#align chain_complex.from_single₀_equiv ChainComplex.fromSingle₀Equiv
-
-variable (V)
-
-/-- `single₀` is the same as `single V _ 0`. -/
-def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
-  NatIso.ofComponents
-    (fun X =>
-      { hom := { f := fun i => by cases i <;> exact 𝟙 _ }
-        inv := { f := fun i => by cases i <;> exact 𝟙 _ }
-        hom_inv_id := to_single₀_ext _ _ (by simp)
-        inv_hom_id := by
-          ext (_|_)
-          · dsimp
-            simp
-          · dsimp
-            rw [Category.comp_id] })
-    fun f => by ext (_|_) <;> aesop_cat
-#align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
-
-instance : Faithful (single₀ V) :=
-  Faithful.of_iso (single₀IsoSingle V).symm
-
-instance : Full (single₀ V) :=
-  Full.ofIso (single₀IsoSingle V).symm
+  invFun f := HomologicalComplex.mkHomFromSingle f (fun i hi => by simp at hi)
+  left_inv := by aesop_cat
+  right_inv := by aesop_cat
+
+@[simp]
+lemma fromSingle₀Equiv_symm_apply_f_zero
+    {C : ChainComplex V ℕ} {X : V} (f : X ⟶ C.X 0) :
+    ((fromSingle₀Equiv C X).symm f).f 0 = f := by
+  simp [fromSingle₀Equiv]
+
+@[simp]
+lemma fromSingle₀Equiv_symm_apply_f_succ
+    {C : ChainComplex V ℕ} {X : V} (f : X ⟶ C.X 0) (n : ℕ) :
+    ((fromSingle₀Equiv C X).symm f).f (n + 1) = 0 := rfl
 
 end ChainComplex
 
 namespace CochainComplex
 
-/-- `CochainComplex.single₀ V` is the embedding of `V` into `CochainComplex V ℕ`
-as cochain complexes supported in degree 0.
+/-- The functor `V ⥤ CochainComplex V ℕ` creating a cochain complex supported in degree zero. -/
+noncomputable abbrev single₀ : V ⥤ CochainComplex V ℕ :=
+  HomologicalComplex.single V (ComplexShape.up ℕ) 0
 
-This is naturally isomorphic to `single V _ 0`, but has better definitional properties.
--/
-def single₀ : V ⥤ CochainComplex V ℕ where
-  obj X :=
-    { X := fun n =>
-        match n with
-        | 0 => X
-        | _ + 1 => 0
-      d := fun i j => 0 }
-  map f :=
-    { f := fun n =>
-        match n with
-        | 0 => f
-        | n + 1 => 0 }
-#align cochain_complex.single₀ CochainComplex.single₀
+variable {V}
 
-@[simp]
-theorem single₀_obj_X_0 (X : V) : ((single₀ V).obj X).X 0 = X :=
-  rfl
-set_option linter.uppercaseLean3 false in
-#align cochain_complex.single₀_obj_X_0 CochainComplex.single₀_obj_X_0
+@[simp, nolint simpNF]
+lemma single₀_obj_zero (A : V) :
+    ((single₀ V).obj A).X 0 = A := rfl
 
 @[simp]
-theorem single₀_obj_X_succ (X : V) (n : ℕ) : ((single₀ V).obj X).X (n + 1) = 0 :=
-  rfl
-set_option linter.uppercaseLean3 false in
-#align cochain_complex.single₀_obj_X_succ CochainComplex.single₀_obj_X_succ
+lemma single₀_map_f_zero {A B : V} (f : A ⟶ B) :
+    ((single₀ V).map f).f 0 = f := by
+  rw [HomologicalComplex.single_map_f_self]
+  dsimp [HomologicalComplex.singleObjXSelf, HomologicalComplex.singleObjXIsoOfEq]
+  erw [comp_id, id_comp]
 
 @[simp]
-theorem single₀_obj_X_d (X : V) (i j : ℕ) : ((single₀ V).obj X).d i j = 0 :=
-  rfl
-set_option linter.uppercaseLean3 false in
-#align cochain_complex.single₀_obj_X_d CochainComplex.single₀_obj_X_d
+lemma single₀ObjXSelf (X : V) :
+    HomologicalComplex.singleObjXSelf (ComplexShape.up ℕ) 0 X = Iso.refl _ := rfl
 
-@[simp]
-theorem single₀_obj_x_dFrom (X : V) (j : ℕ) : ((single₀ V).obj X).dFrom j = 0 := by
-  rw [dFrom_eq ((single₀ V).obj X) rfl]
-  simp
-set_option linter.uppercaseLean3 false in
-#align cochain_complex.single₀_obj_X_d_from CochainComplex.single₀_obj_x_dFrom
+/-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
+to an `ℕ`-indexed cochain complex `C`
+are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`. -/
+@[simps apply_coe]
+noncomputable def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
+    ((single₀ V).obj X ⟶ C) ≃ { f : X ⟶ C.X 0 // f ≫ C.d 0 1 = 0 } where
+  toFun φ := ⟨φ.f 0, by rw [φ.comm 0 1, HomologicalComplex.single_obj_d, zero_comp]⟩
+  invFun f := HomologicalComplex.mkHomFromSingle f.1 (fun i hi => by
+    obtain rfl : i = 1 := by simpa using hi.symm
+    exact f.2)
+  left_inv φ := by aesop_cat
+  right_inv := by aesop_cat
 
 @[simp]
-theorem single₀_obj_x_dTo (X : V) (i : ℕ) : ((single₀ V).obj X).dTo i = 0 := by
-  cases i
-  · rw [dTo_eq_zero]
-    simp
-  · erw [dTo_eq ((single₀ V).obj X) rfl]
-    simp
-set_option linter.uppercaseLean3 false in
-#align cochain_complex.single₀_obj_X_d_to CochainComplex.single₀_obj_x_dTo
+lemma fromSingle₀Equiv_symm_apply_f_zero {C : CochainComplex V ℕ} {X : V}
+    (f : X ⟶ C.X 0) (hf : f ≫ C.d 0 1 = 0) :
+    ((fromSingle₀Equiv C X).symm ⟨f, hf⟩).f 0 = f := by
+  simp [fromSingle₀Equiv]
+
+/-- Morphisms to a single object cochain complex with `X` concentrated in degree 0
+to an `ℕ`-indexed cochain complex `C` are the same as morphisms `f : C.X 0 ⟶ X`.
+-/
+@[simps apply]
+noncomputable def toSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
+    (C ⟶ (single₀ V).obj X) ≃ (C.X 0 ⟶ X) where
+  toFun f := f.f 0
+  invFun f := HomologicalComplex.mkHomToSingle f (fun i hi => by simp at hi)
+  left_inv := by aesop_cat
+  right_inv := by aesop_cat
 
 @[simp]
-theorem single₀_map_f_0 {X Y : V} (f : X ⟶ Y) : ((single₀ V).map f).f 0 = f :=
-  rfl
-#align cochain_complex.single₀_map_f_0 CochainComplex.single₀_map_f_0
+lemma toSingle₀Equiv_symm_apply_f_zero
+    {C : CochainComplex V ℕ} {X : V} (f : C.X 0 ⟶ X) :
+    ((toSingle₀Equiv C X).symm f).f 0 = f := by
+  simp [toSingle₀Equiv]
 
 @[simp]
-theorem single₀_map_f_succ {X Y : V} (f : X ⟶ Y) (n : ℕ) : ((single₀ V).map f).f (n + 1) = 0 :=
+lemma toSingle₀Equiv_symm_apply_f_succ
+    {C : CochainComplex V ℕ} {X : V} (f : C.X 0 ⟶ X) (n : ℕ) :
+    ((toSingle₀Equiv C X).symm f).f (n + 1) = 0 := by
   rfl
-#align cochain_complex.single₀_map_f_succ CochainComplex.single₀_map_f_succ
-
-section
-
-variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
-
-/-- Sending objects to cochain complexes supported at `0` then taking `0`-th homology
-is the same as doing nothing.
--/
-noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
-    fun f => by
-      -- Porting note: why can't `aesop_cat` do this?
-      dsimp
-      ext
-      simp
-#align cochain_complex.homology_functor_0_single₀ CochainComplex.homologyFunctor0Single₀
-
-/-- Sending objects to cochain complexes supported at `0` then taking `(n+1)`-st homology
-is the same as the zero functor.
--/
-noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
-  NatIso.ofComponents
-    (fun X =>
-      homology'.congr _ _ (by simp) (by simp) ≪≫
-        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
-    fun f => (Functor.zero_obj _).eq_of_tgt _ _
-#align cochain_complex.homology_functor_succ_single₀ CochainComplex.homology'FunctorSuccSingle₀
-
-end
-
-variable {V}
-
-/-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
-to an `ℕ`-indexed cochain complex `C`
-are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
--/
-def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
-    ((single₀ V).obj X ⟶ C) ≃ { f : X ⟶ C.X 0 // f ≫ C.d 0 1 = 0 } where
-  toFun f :=
-    ⟨f.f 0, by
-      rw [f.comm 0 1]
-      simp⟩
-  invFun f :=
-    { f := fun i =>
-        match i with
-        | 0 => f.1
-        | n + 1 => 0
-      comm' := fun i j h => by
-        rcases f with ⟨f, hf⟩
-        rcases j with (_|_|j) <;> cases i <;> simp only [single₀_obj_X_d, zero_comp]
-        · rw [C.shape, comp_zero]
-          simp
-        · exact hf
-        · rw [C.shape, comp_zero]
-          simp only [Nat.zero_eq, ComplexShape.up_Rel, zero_add]
-          exact j.succ_succ_ne_one.symm }
-  left_inv f := by
-    ext i
-    rcases i with ⟨⟩
-    · rfl
-    · dsimp
-      ext
-  right_inv := by aesop_cat
-#align cochain_complex.from_single₀_equiv CochainComplex.fromSingle₀Equiv
-
--- porting note: added to ease the following definition
-@[ext]
-theorem from_single₀_ext {C : CochainComplex V ℕ} {X : V} (f g : (single₀ V).obj X ⟶ C)
-    (h : f.f 0 = g.f 0) : f = g :=
-  (fromSingle₀Equiv C X).injective
-    (by
-      ext
-      exact h)
-
-variable (V)
-
-/-- `single₀` is the same as `single V _ 0`. -/
-def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
-  NatIso.ofComponents fun X =>
-    { hom := { f := fun i => by cases i <;> exact 𝟙 _ }
-      inv := { f := fun i => by cases i <;> exact 𝟙 _ }
-      hom_inv_id := from_single₀_ext _ _ (by simp)
-      inv_hom_id := by
-        ext (_|_)
-        · dsimp
-          simp
-        · dsimp
-          rw [Category.id_comp]
-          rfl }
-#align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
-
-instance : Faithful (single₀ V) :=
-  Faithful.of_iso (single₀IsoSingle V).symm
-
-instance : Full (single₀ V) :=
-  Full.ofIso (single₀IsoSingle V).symm
 
 end CochainComplex

324a7502

chore: bump toolchain to v4.3.0-rc1 (#8051)

This incorporates changes from

#7845
#7847
#7853
#7872 (was never actually made to work, but the diffs in nightly-testing are unexciting: we need to fully qualify a few names)

They can all be closed when this is merged.

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

1ff3bf34

Diff

@@ -131,14 +131,6 @@ def single₀ : V ⥤ ChainComplex V ℕ where
         match n with
         | 0 => f
         | n + 1 => 0 }
-  map_id X := by
-    ext (_|_)
-    · rfl
-    · simp
-  map_comp f g := by
-    ext (_|_)
-    · rfl
-    · simp
 #align chain_complex.single₀ ChainComplex.single₀
 
 @[simp]
@@ -328,14 +320,6 @@ def single₀ : V ⥤ CochainComplex V ℕ where
         match n with
         | 0 => f
         | n + 1 => 0 }
-  map_id X := by
-    ext (_|_)
-    · rfl
-    · simp
-  map_comp f g := by
-    ext (_|_)
-    · rfl
-    · simp
 #align cochain_complex.single₀ CochainComplex.single₀
 
 @[simp]

324a7502

refactor: introduce the new homology API for homological complex and rename the old one (#7954)

This PR renames definitions of the current homology API (adding a ' to homology, cycles, QuasiIso) so as to create space for the development of the new homology API of homological complexes: this PR also contains the new definition of HomologicalComplex.homology which involves the homology theory of short complexes.

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

c5fe4511

Diff

@@ -193,26 +193,26 @@ variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 /-- Sending objects to chain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
-noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
+noncomputable def homology'Functor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
+  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
     fun f => by
       -- Porting note: why can't `aesop_cat` do this?
       dsimp
       ext
       simp
-#align chain_complex.homology_functor_0_single₀ ChainComplex.homologyFunctor0Single₀
+#align chain_complex.homology_functor_0_single₀ ChainComplex.homology'Functor0Single₀
 
 /-- Sending objects to chain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
-noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homologyFunctor V _ (n + 1) ≅ 0 :=
+noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
+    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
   NatIso.ofComponents
     (fun X =>
-      homology.congr _ _ (by simp) (by simp) ≪≫
-        homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
+      homology'.congr _ _ (by simp) (by simp) ≪≫
+        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun f => (Functor.zero_obj _).eq_of_tgt _ _
-#align chain_complex.homology_functor_succ_single₀ ChainComplex.homologyFunctorSuccSingle₀
+#align chain_complex.homology_functor_succ_single₀ ChainComplex.homology'FunctorSuccSingle₀
 
 end
 
@@ -390,8 +390,8 @@ variable [HasEqualizers V] [HasCokernels V] [HasImages V] [HasImageMaps V]
 /-- Sending objects to cochain complexes supported at `0` then taking `0`-th homology
 is the same as doing nothing.
 -/
-noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
-  NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
+noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homology'Functor V _ 0 ≅ 𝟭 V :=
+  NatIso.ofComponents (fun X => homology'.congr _ _ (by simp) (by simp) ≪≫ homology'ZeroZero)
     fun f => by
       -- Porting note: why can't `aesop_cat` do this?
       dsimp
@@ -402,14 +402,14 @@ noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V
 /-- Sending objects to cochain complexes supported at `0` then taking `(n+1)`-st homology
 is the same as the zero functor.
 -/
-noncomputable def homologyFunctorSuccSingle₀ (n : ℕ) :
-    single₀ V ⋙ homologyFunctor V _ (n + 1) ≅ 0 :=
+noncomputable def homology'FunctorSuccSingle₀ (n : ℕ) :
+    single₀ V ⋙ homology'Functor V _ (n + 1) ≅ 0 :=
   NatIso.ofComponents
     (fun X =>
-      homology.congr _ _ (by simp) (by simp) ≪≫
-        homologyZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
+      homology'.congr _ _ (by simp) (by simp) ≪≫
+        homology'ZeroZero ≪≫ (Functor.zero_obj _).isoZero.symm)
     fun f => (Functor.zero_obj _).eq_of_tgt _ _
-#align cochain_complex.homology_functor_succ_single₀ CochainComplex.homologyFunctorSuccSingle₀
+#align cochain_complex.homology_functor_succ_single₀ CochainComplex.homology'FunctorSuccSingle₀
 
 end

324a7502

chore: fix nonterminal simps (#7497)

Fixes the nonterminal simps identified by #7496

19ca95b1

Diff

@@ -437,7 +437,7 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
           simp
         · exact hf
         · rw [C.shape, comp_zero]
-          simp
+          simp only [Nat.zero_eq, ComplexShape.up_Rel, zero_add]
           exact j.succ_succ_ne_one.symm }
   left_inv f := by
     ext i

324a7502

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

@@ -38,7 +38,7 @@ variable (V : Type u) [Category.{v} V] [HasZeroMorphisms V] [HasZeroObject V]
 
 namespace HomologicalComplex
 
-variable {ι : Type _} [DecidableEq ι] (c : ComplexShape ι)
+variable {ι : Type*} [DecidableEq ι] (c : ComplexShape ι)
 
 /-- The functor `V ⥤ HomologicalComplex V c` creating a chain complex supported in a single degree.

324a7502

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.single
-! leanprover-community/mathlib commit 324a7502510e835cdbd3de1519b6c66b51fb2467
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.Homology
 
+#align_import algebra.homology.single from "leanprover-community/mathlib"@"324a7502510e835cdbd3de1519b6c66b51fb2467"
+
 /-!
 # Chain complexes supported in a single degree

324a7502

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

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

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

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

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

c795bd35

Diff

@@ -55,8 +55,8 @@ def single (j : ι) : V ⥤ HomologicalComplex V c where
     { X := fun i => if i = j then A else 0
       d := fun i j => 0 }
   map f :=
-    { f := fun i => if h : i = j then eqToHom (by dsimp ; rw [if_pos h]) ≫ f ≫
-              eqToHom (by dsimp ; rw [if_pos h]) else 0 }
+    { f := fun i => if h : i = j then eqToHom (by dsimp; rw [if_pos h]) ≫ f ≫
+              eqToHom (by dsimp; rw [if_pos h]) else 0 }
   map_id A := by
     ext
     dsimp

324a7502

chore: fix focusing dots (#5708)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

cb02d09e

Diff

@@ -136,12 +136,12 @@ def single₀ : V ⥤ ChainComplex V ℕ where
         | n + 1 => 0 }
   map_id X := by
     ext (_|_)
-    . rfl
-    . simp
+    · rfl
+    · simp
   map_comp f g := by
     ext (_|_)
-    . rfl
-    . simp
+    · rfl
+    · simp
 #align chain_complex.single₀ ChainComplex.single₀
 
 @[simp]
@@ -239,10 +239,10 @@ def toSingle₀Equiv (C : ChainComplex V ℕ) (X : V) :
         | n + 1 => 0
       comm' := fun i j h => by
         rcases i with (_|_|i) <;> cases j <;> simp only [single₀_obj_X_d, comp_zero]
-        . rw [C.shape, zero_comp]
+        · rw [C.shape, zero_comp]
           simp
-        . exact f.2.symm
-        . rw [C.shape, zero_comp]
+        · exact f.2.symm
+        · rw [C.shape, zero_comp]
           exact i.succ_succ_ne_one.symm }
   left_inv f := by
     ext i
@@ -297,9 +297,9 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
         hom_inv_id := to_single₀_ext _ _ (by simp)
         inv_hom_id := by
           ext (_|_)
-          . dsimp
+          · dsimp
             simp
-          . dsimp
+          · dsimp
             rw [Category.comp_id] })
     fun f => by ext (_|_) <;> aesop_cat
 #align chain_complex.single₀_iso_single ChainComplex.single₀IsoSingle
@@ -333,12 +333,12 @@ def single₀ : V ⥤ CochainComplex V ℕ where
         | n + 1 => 0 }
   map_id X := by
     ext (_|_)
-    . rfl
-    . simp
+    · rfl
+    · simp
   map_comp f g := by
     ext (_|_)
-    . rfl
-    . simp
+    · rfl
+    · simp
 #align cochain_complex.single₀ CochainComplex.single₀
 
 @[simp]
@@ -436,10 +436,10 @@ def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :
       comm' := fun i j h => by
         rcases f with ⟨f, hf⟩
         rcases j with (_|_|j) <;> cases i <;> simp only [single₀_obj_X_d, zero_comp]
-        . rw [C.shape, comp_zero]
+        · rw [C.shape, comp_zero]
           simp
-        . exact hf
-        . rw [C.shape, comp_zero]
+        · exact hf
+        · rw [C.shape, comp_zero]
           simp
           exact j.succ_succ_ne_one.symm }
   left_inv f := by
@@ -470,9 +470,9 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
       hom_inv_id := from_single₀_ext _ _ (by simp)
       inv_hom_id := by
         ext (_|_)
-        . dsimp
+        · dsimp
           simp
-        . dsimp
+        · dsimp
           rw [Category.id_comp]
           rfl }
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle

324a7502

chore: fix grammar in docs (#5668)

15cdb8ec

Diff

@@ -20,7 +20,7 @@ Similarly `single₀ V : V ⥤ ChainComplex V ℕ` is the special case for
 `ℕ`-indexed chain complexes, with the object supported in degree `0`,
 but with better definitional properties.
 
-In `toSingle₀Equiv` we characterize chain maps to a `ℕ`-indexed complex concentrated in degree 0;
+In `toSingle₀Equiv` we characterize chain maps to an `ℕ`-indexed complex concentrated in degree 0;
 they are equivalent to `{ f : C.X 0 ⟶ X // C.d 1 0 ≫ f = 0 }`.
 (This is useful translating between a projective resolution and
 an augmented exact complex of projectives.)
@@ -221,7 +221,7 @@ end
 
 variable {V}
 
-/-- Morphisms from a `ℕ`-indexed chain complex `C`
+/-- Morphisms from an `ℕ`-indexed chain complex `C`
 to a single object chain complex with `X` concentrated in degree 0
 are the same as morphisms `f : C.X 0 ⟶ X` such that `C.d 1 0 ≫ f = 0`.
 -/
@@ -263,7 +263,7 @@ theorem to_single₀_ext {C : ChainComplex V ℕ} {X : V} (f g : C ⟶ (single
 #align chain_complex.to_single₀_ext ChainComplex.to_single₀_ext
 
 /-- Morphisms from a single object chain complex with `X` concentrated in degree 0
-to a `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
+to an `ℕ`-indexed chain complex `C` are the same as morphisms `f : X → C.X`.
 -/
 @[simps]
 def fromSingle₀Equiv (C : ChainComplex V ℕ) (X : V) : ((single₀ V).obj X ⟶ C) ≃ (X ⟶ C.X 0) where
@@ -419,7 +419,7 @@ end
 variable {V}
 
 /-- Morphisms from a single object cochain complex with `X` concentrated in degree 0
-to a `ℕ`-indexed cochain complex `C`
+to an `ℕ`-indexed cochain complex `C`
 are the same as morphisms `f : X ⟶ C.X 0` such that `f ≫ C.d 0 1 = 0`.
 -/
 def fromSingle₀Equiv (C : CochainComplex V ℕ) (X : V) :

324a7502

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

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

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

5b958613

Diff

@@ -199,6 +199,7 @@ is the same as doing nothing.
 noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
   NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
     fun f => by
+      -- Porting note: why can't `aesop_cat` do this?
       dsimp
       ext
       simp
@@ -395,6 +396,7 @@ is the same as doing nothing.
 noncomputable def homologyFunctor0Single₀ : single₀ V ⋙ homologyFunctor V _ 0 ≅ 𝟭 V :=
   NatIso.ofComponents (fun X => homology.congr _ _ (by simp) (by simp) ≪≫ homologyZeroZero)
     fun f => by
+      -- Porting note: why can't `aesop_cat` do this?
       dsimp
       ext
       simp
@@ -462,19 +464,17 @@ variable (V)
 
 /-- `single₀` is the same as `single V _ 0`. -/
 def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
-  NatIso.ofComponents
-    (fun X =>
-      { hom := { f := fun i => by cases i <;> exact 𝟙 _ }
-        inv := { f := fun i => by cases i <;> exact 𝟙 _ }
-        hom_inv_id := from_single₀_ext _ _ (by simp)
-        inv_hom_id := by
-          ext (_|_)
-          . dsimp
-            simp
-          . dsimp
-            rw [Category.id_comp]
-            rfl })
-    fun f => by ext; simp
+  NatIso.ofComponents fun X =>
+    { hom := { f := fun i => by cases i <;> exact 𝟙 _ }
+      inv := { f := fun i => by cases i <;> exact 𝟙 _ }
+      hom_inv_id := from_single₀_ext _ _ (by simp)
+      inv_hom_id := by
+        ext (_|_)
+        . dsimp
+          simp
+        . dsimp
+          rw [Category.id_comp]
+          rfl }
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
 
 instance : Faithful (single₀ V) :=

324a7502

chore: bump to nightly-2023-05-31 (#4530)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Alex J Best <alex.j.best@gmail.com>

01da6a3c

Diff

@@ -474,7 +474,7 @@ def single₀IsoSingle : single₀ V ≅ single V _ 0 :=
           . dsimp
             rw [Category.id_comp]
             rfl })
-    fun f => by ext (_ | i) <;> aesop_cat
+    fun f => by ext; simp
 #align cochain_complex.single₀_iso_single CochainComplex.single₀IsoSingle
 
 instance : Faithful (single₀ V) :=

324a7502

feat: port Algebra.Homology.Single (#3495)

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

8efb2cb1

`algebra.homology.single` ⟷ `Mathlib.Algebra.Homology.Single`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 3 + 301

algebra.homology.single ⟷ Mathlib.Algebra.Homology.Single

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 3 + 301

`algebra.homology.single` ⟷ `Mathlib.Algebra.Homology.Single`