Changes since the initial port

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

Changes in mathlib3

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

dbdf71ce

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -75,7 +75,7 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫
     | i + 1, j + 1 => C.d i j
     | _, _ => 0
   shape' i j s := by
-    simp at s 
+    simp at s
     rcases i with (_ | _ | i) <;> cases j <;> unfold_aux <;> try simp
     · simpa using s
     · rw [C.shape]; simpa [← Ne.def, Nat.succ_ne_succ] using s
@@ -272,7 +272,7 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d
     | i + 1, j + 1 => C.d i j
     | _, _ => 0
   shape' i j s := by
-    simp at s 
+    simp at s
     rcases j with (_ | _ | j) <;> cases i <;> unfold_aux <;> try simp
     · simpa using s
     · rw [C.shape]; simp only [ComplexShape.up_Rel]; contrapose! s; rw [← s]

dbdf71ce

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.Single
+import Algebra.Homology.Single
 
 #align_import algebra.homology.augment from "leanprover-community/mathlib"@"dbdf71cee7bb20367cb7e37279c08b0c218cf967"

dbdf71ce

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.augment
-! leanprover-community/mathlib commit dbdf71cee7bb20367cb7e37279c08b0c218cf967
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.Single
 
+#align_import algebra.homology.augment from "leanprover-community/mathlib"@"dbdf71cee7bb20367cb7e37279c08b0c218cf967"
+
 /-!
 # Augmentation and truncation of `ℕ`-indexed (co)chain complexes.

dbdf71ce

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -47,6 +47,7 @@ def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
 #align chain_complex.truncate ChainComplex.truncate
 -/
 
+#print ChainComplex.truncateTo /-
 /-- There is a canonical chain map from the truncation of a chain map `C` to
 the "single object" chain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 1 0` in degree 0, and zero otherwise.
@@ -55,6 +56,7 @@ def truncateTo [HasZeroObject V] [HasZeroMorphisms V] (C : ChainComplex V ℕ) :
     truncate.obj C ⟶ (single₀ V).obj (C.pt 0) :=
   (toSingle₀Equiv (truncate.obj C) (C.pt 0)).symm ⟨C.d 1 0, by tidy⟩
 #align chain_complex.truncate_to ChainComplex.truncateTo
+-/
 
 -- PROJECT when `V` is abelian (but not generally?)
 -- `[∀ n, exact (C.d (n+2) (n+1)) (C.d (n+1) n)] [epi (C.d 1 0)]` iff `quasi_iso (C.truncate_to)`
@@ -122,6 +124,7 @@ theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X)
 #align chain_complex.augment_d_succ_succ ChainComplex.augment_d_succ_succ
 -/
 
+#print ChainComplex.truncateAugment /-
 /-- Truncating an augmented chain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -135,18 +138,23 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d
   hom_inv_id' := by ext i; cases i <;> · dsimp; simp
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
+-/
 
+#print ChainComplex.truncateAugment_hom_f /-
 @[simp]
 theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_f
+-/
 
+#print ChainComplex.truncateAugment_inv_f /-
 @[simp]
 theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
   rfl
 #align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_f
+-/
 
 #print ChainComplex.chainComplex_d_succ_succ_zero /-
 @[simp]
@@ -155,6 +163,7 @@ theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (
 #align chain_complex.chain_complex_d_succ_succ_zero ChainComplex.chainComplex_d_succ_succ_zero
 -/
 
+#print ChainComplex.augmentTruncate /-
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -170,6 +179,7 @@ def augmentTruncate (C : ChainComplex V ℕ) :
   hom_inv_id' := by ext i; cases i <;> · dsimp; simp
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align chain_complex.augment_truncate ChainComplex.augmentTruncate
+-/
 
 #print ChainComplex.augmentTruncate_hom_f_zero /-
 @[simp]
@@ -179,11 +189,13 @@ theorem augmentTruncate_hom_f_zero (C : ChainComplex V ℕ) :
 #align chain_complex.augment_truncate_hom_f_zero ChainComplex.augmentTruncate_hom_f_zero
 -/
 
+#print ChainComplex.augmentTruncate_hom_f_succ /-
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succ
+-/
 
 #print ChainComplex.augmentTruncate_inv_f_zero /-
 @[simp]
@@ -193,12 +205,15 @@ theorem augmentTruncate_inv_f_zero (C : ChainComplex V ℕ) :
 #align chain_complex.augment_truncate_inv_f_zero ChainComplex.augmentTruncate_inv_f_zero
 -/
 
+#print ChainComplex.augmentTruncate_inv_f_succ /-
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succ
+-/
 
+#print ChainComplex.toSingle₀AsComplex /-
 /-- A chain map from a chain complex to a single object chain complex in degree zero
 can be reinterpreted as a chain complex.
 
@@ -209,6 +224,7 @@ def toSingle₀AsComplex [HasZeroObject V] (C : ChainComplex V ℕ) (X : V)
   let ⟨f, w⟩ := toSingle₀Equiv C X f
   augment C f w
 #align chain_complex.to_single₀_as_complex ChainComplex.toSingle₀AsComplex
+-/
 
 end ChainComplex
 
@@ -229,6 +245,7 @@ def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V 
 #align cochain_complex.truncate CochainComplex.truncate
 -/
 
+#print CochainComplex.toTruncate /-
 /-- There is a canonical chain map from the truncation of a cochain complex `C` to
 the "single object" cochain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 0 1` in degree 0, and zero otherwise.
@@ -237,6 +254,7 @@ def toTruncate [HasZeroObject V] [HasZeroMorphisms V] (C : CochainComplex V ℕ)
     (single₀ V).obj (C.pt 0) ⟶ truncate.obj C :=
   (fromSingle₀Equiv (truncate.obj C) (C.pt 0)).symm ⟨C.d 0 1, by tidy⟩
 #align cochain_complex.to_truncate CochainComplex.toTruncate
+-/
 
 variable [HasZeroMorphisms V]
 
@@ -304,6 +322,7 @@ theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0
 #align cochain_complex.augment_d_succ_succ CochainComplex.augment_d_succ_succ
 -/
 
+#print CochainComplex.truncateAugment /-
 /-- Truncating an augmented cochain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -317,19 +336,24 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f
   hom_inv_id' := by ext i; cases i <;> · dsimp; simp
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
+-/
 
+#print CochainComplex.truncateAugment_hom_f /-
 @[simp]
 theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_f
+-/
 
+#print CochainComplex.truncateAugment_inv_f /-
 @[simp]
 theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) :
     (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
   rfl
 #align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_f
+-/
 
 #print CochainComplex.cochainComplex_d_succ_succ_zero /-
 @[simp]
@@ -338,6 +362,7 @@ theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C
 #align cochain_complex.cochain_complex_d_succ_succ_zero CochainComplex.cochainComplex_d_succ_succ_zero
 -/
 
+#print CochainComplex.augmentTruncate /-
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -353,6 +378,7 @@ def augmentTruncate (C : CochainComplex V ℕ) :
   hom_inv_id' := by ext i; cases i <;> · dsimp; simp
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align cochain_complex.augment_truncate CochainComplex.augmentTruncate
+-/
 
 #print CochainComplex.augmentTruncate_hom_f_zero /-
 @[simp]
@@ -362,11 +388,13 @@ theorem augmentTruncate_hom_f_zero (C : CochainComplex V ℕ) :
 #align cochain_complex.augment_truncate_hom_f_zero CochainComplex.augmentTruncate_hom_f_zero
 -/
 
+#print CochainComplex.augmentTruncate_hom_f_succ /-
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succ
+-/
 
 #print CochainComplex.augmentTruncate_inv_f_zero /-
 @[simp]
@@ -376,12 +404,15 @@ theorem augmentTruncate_inv_f_zero (C : CochainComplex V ℕ) :
 #align cochain_complex.augment_truncate_inv_f_zero CochainComplex.augmentTruncate_inv_f_zero
 -/
 
+#print CochainComplex.augmentTruncate_inv_f_succ /-
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succ
+-/
 
+#print CochainComplex.fromSingle₀AsComplex /-
 /-- A chain map from a single object cochain complex in degree zero to a cochain complex
 can be reinterpreted as a cochain complex.
 
@@ -392,6 +423,7 @@ def fromSingle₀AsComplex [HasZeroObject V] (C : CochainComplex V ℕ) (X : V)
   let ⟨f, w⟩ := fromSingle₀Equiv C X f
   augment C f w
 #align cochain_complex.from_single₀_as_complex CochainComplex.fromSingle₀AsComplex
+-/
 
 end CochainComplex

dbdf71ce

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -76,7 +76,7 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫
     | i + 1, j + 1 => C.d i j
     | _, _ => 0
   shape' i j s := by
-    simp at s
+    simp at s 
     rcases i with (_ | _ | i) <;> cases j <;> unfold_aux <;> try simp
     · simpa using s
     · rw [C.shape]; simpa [← Ne.def, Nat.succ_ne_succ] using s
@@ -257,7 +257,7 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d
     | i + 1, j + 1 => C.d i j
     | _, _ => 0
   shape' i j s := by
-    simp at s
+    simp at s 
     rcases j with (_ | _ | j) <;> cases i <;> unfold_aux <;> try simp
     · simpa using s
     · rw [C.shape]; simp only [ComplexShape.up_Rel]; contrapose! s; rw [← s]

dbdf71ce

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -47,9 +47,6 @@ def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
 #align chain_complex.truncate ChainComplex.truncate
 -/
 
-/- warning: chain_complex.truncate_to -> ChainComplex.truncateTo is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_to ChainComplex.truncateToₓ'. -/
 /-- There is a canonical chain map from the truncation of a chain map `C` to
 the "single object" chain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 1 0` in degree 0, and zero otherwise.
@@ -125,9 +122,6 @@ theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X)
 #align chain_complex.augment_d_succ_succ ChainComplex.augment_d_succ_succ
 -/
 
-/- warning: chain_complex.truncate_augment -> ChainComplex.truncateAugment is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment ChainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented chain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -142,18 +136,12 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
 
-/- warning: chain_complex.truncate_augment_hom_f -> ChainComplex.truncateAugment_hom_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_f
 
-/- warning: chain_complex.truncate_augment_inv_f -> ChainComplex.truncateAugment_inv_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
@@ -167,9 +155,6 @@ theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (
 #align chain_complex.chain_complex_d_succ_succ_zero ChainComplex.chainComplex_d_succ_succ_zero
 -/
 
-/- warning: chain_complex.augment_truncate -> ChainComplex.augmentTruncate is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate ChainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -194,9 +179,6 @@ theorem augmentTruncate_hom_f_zero (C : ChainComplex V ℕ) :
 #align chain_complex.augment_truncate_hom_f_zero ChainComplex.augmentTruncate_hom_f_zero
 -/
 
-/- warning: chain_complex.augment_truncate_hom_f_succ -> ChainComplex.augmentTruncate_hom_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
@@ -211,21 +193,12 @@ theorem augmentTruncate_inv_f_zero (C : ChainComplex V ℕ) :
 #align chain_complex.augment_truncate_inv_f_zero ChainComplex.augmentTruncate_inv_f_zero
 -/
 
-/- warning: chain_complex.augment_truncate_inv_f_succ -> ChainComplex.augmentTruncate_inv_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succ
 
-/- warning: chain_complex.to_single₀_as_complex -> ChainComplex.toSingle₀AsComplex 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), (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)))) 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)) -> (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)
-but is expected to have type
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(OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))
-Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_as_complex ChainComplex.toSingle₀AsComplexₓ'. -/
 /-- A chain map from a chain complex to a single object chain complex in degree zero
 can be reinterpreted as a chain complex.
 
@@ -256,9 +229,6 @@ def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V 
 #align cochain_complex.truncate CochainComplex.truncate
 -/
 
-/- warning: cochain_complex.to_truncate -> CochainComplex.toTruncate is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.to_truncate CochainComplex.toTruncateₓ'. -/
 /-- There is a canonical chain map from the truncation of a cochain complex `C` to
 the "single object" cochain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 0 1` in degree 0, and zero otherwise.
@@ -334,9 +304,6 @@ theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0
 #align cochain_complex.augment_d_succ_succ CochainComplex.augment_d_succ_succ
 -/
 
-/- warning: cochain_complex.truncate_augment -> CochainComplex.truncateAugment is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment CochainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented cochain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -351,18 +318,12 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f
   inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
 
-/- warning: cochain_complex.truncate_augment_hom_f -> CochainComplex.truncateAugment_hom_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_f
 
-/- warning: cochain_complex.truncate_augment_inv_f -> CochainComplex.truncateAugment_inv_f is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) :
@@ -377,9 +338,6 @@ theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C
 #align cochain_complex.cochain_complex_d_succ_succ_zero CochainComplex.cochainComplex_d_succ_succ_zero
 -/
 
-/- warning: cochain_complex.augment_truncate -> CochainComplex.augmentTruncate is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate CochainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -404,9 +362,6 @@ theorem augmentTruncate_hom_f_zero (C : CochainComplex V ℕ) :
 #align cochain_complex.augment_truncate_hom_f_zero CochainComplex.augmentTruncate_hom_f_zero
 -/
 
-/- warning: cochain_complex.augment_truncate_hom_f_succ -> CochainComplex.augmentTruncate_hom_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
@@ -421,21 +376,12 @@ theorem augmentTruncate_inv_f_zero (C : CochainComplex V ℕ) :
 #align cochain_complex.augment_truncate_inv_f_zero CochainComplex.augmentTruncate_inv_f_zero
 -/
 
-/- warning: cochain_complex.augment_truncate_inv_f_succ -> CochainComplex.augmentTruncate_inv_f_succ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succ
 
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(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))))) (Prefunctor.obj.{succ u1, succ u1, u2, max u2 u1} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (CochainComplex.{u1, u2, 0} V _inst_1 _inst_2 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{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)) (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) C) -> (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))
-Case conversion may be inaccurate. Consider using '#align cochain_complex.from_single₀_as_complex CochainComplex.fromSingle₀AsComplexₓ'. -/
 /-- A chain map from a single object cochain complex in degree zero to a cochain complex
 can be reinterpreted as a cochain complex.

dbdf71ce

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -42,9 +42,7 @@ def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
   obj C :=
     { pt := fun i => C.pt (i + 1)
       d := fun i j => C.d (i + 1) (j + 1)
-      shape' := fun i j w => by
-        apply C.shape
-        simpa }
+      shape' := fun i j w => by apply C.shape; simpa }
   map C D f := { f := fun i => f.f (i + 1) }
 #align chain_complex.truncate ChainComplex.truncate
 -/
@@ -84,8 +82,7 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫
     simp at s
     rcases i with (_ | _ | i) <;> cases j <;> unfold_aux <;> try simp
     · simpa using s
-    · rw [C.shape]
-      simpa [← Ne.def, Nat.succ_ne_succ] using s
+    · rw [C.shape]; simpa [← Ne.def, Nat.succ_ne_succ] using s
   d_comp_d' i j k hij hjk :=
     by
     rcases i with (_ | _ | i) <;> rcases j with (_ | _ | j) <;> cases k <;> unfold_aux <;> try simp
@@ -123,12 +120,8 @@ theorem augment_d_one_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (
 #print ChainComplex.augment_d_succ_succ /-
 @[simp]
 theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
-    (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j :=
-  by
-  dsimp [augment]
-  rcases i with (_ | i)
-  rfl
-  rfl
+    (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j := by dsimp [augment];
+  rcases i with (_ | i); rfl; rfl
 #align chain_complex.augment_d_succ_succ ChainComplex.augment_d_succ_succ
 -/
 
@@ -144,20 +137,9 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d
   Hom := { f := fun i => 𝟙 _ }
   inv :=
     { f := fun i => 𝟙 _
-      comm' := fun i j => by
-        cases j <;>
-          · dsimp
-            simp }
-  hom_inv_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
-  inv_hom_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
+      comm' := fun i j => by cases j <;> · dsimp; simp }
+  hom_inv_id' := by ext i; cases i <;> · dsimp; simp
+  inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
 
 /- warning: chain_complex.truncate_augment_hom_f -> ChainComplex.truncateAugment_hom_f is a dubious translation:
@@ -180,10 +162,8 @@ theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X
 
 #print ChainComplex.chainComplex_d_succ_succ_zero /-
 @[simp]
-theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (i + 2) 0 = 0 :=
-  by
-  rw [C.shape]
-  simpa using i.succ_succ_ne_one.symm
+theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (i + 2) 0 = 0 := by
+  rw [C.shape]; simpa using i.succ_succ_ne_one.symm
 #align chain_complex.chain_complex_d_succ_succ_zero ChainComplex.chainComplex_d_succ_succ_zero
 -/
 
@@ -198,26 +178,12 @@ def augmentTruncate (C : ChainComplex V ℕ) :
     where
   Hom :=
     { f := fun i => by cases i <;> exact 𝟙 _
-      comm' := fun i j => by
-        rcases i with (_ | _ | i) <;> cases j <;>
-          · dsimp
-            simp }
+      comm' := fun i j => by rcases i with (_ | _ | i) <;> cases j <;> · dsimp; simp }
   inv :=
     { f := fun i => by cases i <;> exact 𝟙 _
-      comm' := fun i j => by
-        rcases i with (_ | _ | i) <;> cases j <;>
-          · dsimp
-            simp }
-  hom_inv_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
-  inv_hom_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
+      comm' := fun i j => by rcases i with (_ | _ | i) <;> cases j <;> · dsimp; simp }
+  hom_inv_id' := by ext i; cases i <;> · dsimp; simp
+  inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align chain_complex.augment_truncate ChainComplex.augmentTruncate
 
 #print ChainComplex.augmentTruncate_hom_f_zero /-
@@ -285,9 +251,7 @@ def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V 
   obj C :=
     { pt := fun i => C.pt (i + 1)
       d := fun i j => C.d (i + 1) (j + 1)
-      shape' := fun i j w => by
-        apply C.shape
-        simpa }
+      shape' := fun i j w => by apply C.shape; simpa }
   map C D f := { f := fun i => f.f (i + 1) }
 #align cochain_complex.truncate CochainComplex.truncate
 -/
@@ -326,10 +290,7 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d
     simp at s
     rcases j with (_ | _ | j) <;> cases i <;> unfold_aux <;> try simp
     · simpa using s
-    · rw [C.shape]
-      simp only [ComplexShape.up_Rel]
-      contrapose! s
-      rw [← s]
+    · rw [C.shape]; simp only [ComplexShape.up_Rel]; contrapose! s; rw [← s]
   d_comp_d' i j k hij hjk :=
     by
     rcases k with (_ | _ | k) <;> rcases j with (_ | _ | j) <;> cases i <;> unfold_aux <;> try simp
@@ -385,20 +346,9 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f
   Hom := { f := fun i => 𝟙 _ }
   inv :=
     { f := fun i => 𝟙 _
-      comm' := fun i j => by
-        cases j <;>
-          · dsimp
-            simp }
-  hom_inv_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
-  inv_hom_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
+      comm' := fun i j => by cases j <;> · dsimp; simp }
+  hom_inv_id' := by ext i; cases i <;> · dsimp; simp
+  inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
 
 /- warning: cochain_complex.truncate_augment_hom_f -> CochainComplex.truncateAugment_hom_f is a dubious translation:
@@ -422,11 +372,8 @@ theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt
 
 #print CochainComplex.cochainComplex_d_succ_succ_zero /-
 @[simp]
-theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C.d 0 (i + 2) = 0 :=
-  by
-  rw [C.shape]
-  simp only [ComplexShape.up_Rel, zero_add]
-  exact (Nat.one_lt_succ_succ _).Ne
+theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C.d 0 (i + 2) = 0 := by
+  rw [C.shape]; simp only [ComplexShape.up_Rel, zero_add]; exact (Nat.one_lt_succ_succ _).Ne
 #align cochain_complex.cochain_complex_d_succ_succ_zero CochainComplex.cochainComplex_d_succ_succ_zero
 -/
 
@@ -441,26 +388,12 @@ def augmentTruncate (C : CochainComplex V ℕ) :
     where
   Hom :=
     { f := fun i => by cases i <;> exact 𝟙 _
-      comm' := fun i j => by
-        rcases j with (_ | _ | j) <;> cases i <;>
-          · dsimp
-            simp }
+      comm' := fun i j => by rcases j with (_ | _ | j) <;> cases i <;> · dsimp; simp }
   inv :=
     { f := fun i => by cases i <;> exact 𝟙 _
-      comm' := fun i j => by
-        rcases j with (_ | _ | j) <;> cases i <;>
-          · dsimp
-            simp }
-  hom_inv_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
-  inv_hom_id' := by
-    ext i
-    cases i <;>
-      · dsimp
-        simp
+      comm' := fun i j => by rcases j with (_ | _ | j) <;> cases i <;> · dsimp; simp }
+  hom_inv_id' := by ext i; cases i <;> · dsimp; simp
+  inv_hom_id' := by ext i; cases i <;> · dsimp; simp
 #align cochain_complex.augment_truncate CochainComplex.augmentTruncate
 
 #print CochainComplex.augmentTruncate_hom_f_zero /-

dbdf71ce

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -50,10 +50,7 @@ def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
 -/
 
 /- warning: chain_complex.truncate_to -> ChainComplex.truncateTo is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_to ChainComplex.truncateToₓ'. -/
 /-- There is a canonical chain map from the truncation of a chain map `C` to
 the "single object" chain complex consisting of the truncated object `C.X 0` in degree 0.
@@ -136,10 +133,7 @@ theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X)
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment ChainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented chain complex is isomorphic (with components the identity)
 to the original complex.
@@ -167,10 +161,7 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
 
 /- warning: chain_complex.truncate_augment_hom_f -> ChainComplex.truncateAugment_hom_f is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
@@ -179,10 +170,7 @@ theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X
 #align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_f
 
 /- warning: chain_complex.truncate_augment_inv_f -> ChainComplex.truncateAugment_inv_f is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
@@ -200,10 +188,7 @@ theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate ChainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
@@ -244,10 +229,7 @@ theorem augmentTruncate_hom_f_zero (C : ChainComplex V ℕ) :
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
@@ -264,10 +246,7 @@ theorem augmentTruncate_inv_f_zero (C : ChainComplex V ℕ) :
 -/
 
 /- warning: chain_complex.augment_truncate_inv_f_succ -> ChainComplex.augmentTruncate_inv_f_succ is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
@@ -314,10 +293,7 @@ def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V 
 -/
 
 /- warning: cochain_complex.to_truncate -> CochainComplex.toTruncate is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.to_truncate CochainComplex.toTruncateₓ'. -/
 /-- There is a canonical chain map from the truncation of a cochain complex `C` to
 the "single object" cochain complex consisting of the truncated object `C.X 0` in degree 0.
@@ -398,10 +374,7 @@ theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0
 -/
 
 /- warning: cochain_complex.truncate_augment -> CochainComplex.truncateAugment is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment CochainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented cochain complex is isomorphic (with components the identity)
 to the original complex.
@@ -429,10 +402,7 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
 
 /- warning: cochain_complex.truncate_augment_hom_f -> CochainComplex.truncateAugment_hom_f is a dubious translation:
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(StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))) (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 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(StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (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)) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (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)) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (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, max u2 u1, max u2 u1} (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.{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.truncate.{u1, u2} V _inst_1 _inst_2)) (CochainComplex.augment.{u1, u2} V _inst_1 _inst_2 C X f w)) C (CochainComplex.truncateAugment.{u1, u2} V _inst_1 _inst_2 C X f w)) i) (CategoryTheory.CategoryStruct.id.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1) (HomologicalComplex.X.{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)) C i))
+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
@@ -441,10 +411,7 @@ theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt
 #align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_f
 
 /- warning: cochain_complex.truncate_augment_inv_f -> CochainComplex.truncateAugment_inv_f is a dubious translation:
-lean 3 declaration is
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(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))))) (w : Eq.{succ u1} (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.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) C (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1) X (HomologicalComplex.x.{u1, u2, 0} Nat V _inst_1 _inst_2 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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
@@ -464,10 +431,7 @@ theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C
 -/
 
 /- warning: cochain_complex.augment_truncate -> CochainComplex.augmentTruncate is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate CochainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
@@ -508,10 +472,7 @@ theorem augmentTruncate_hom_f_zero (C : CochainComplex V ℕ) :
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
@@ -528,10 +489,7 @@ theorem augmentTruncate_inv_f_zero (C : CochainComplex V ℕ) :
 -/
 
 /- warning: cochain_complex.augment_truncate_inv_f_succ -> CochainComplex.augmentTruncate_inv_f_succ is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :

dbdf71ce

bump to nightly-2023-05-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

4c01fe25

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.augment
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit dbdf71cee7bb20367cb7e37279c08b0c218cf967
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -12,6 +12,9 @@ import Mathbin.Algebra.Homology.Single
 
 /-!
 # Augmentation and truncation of `ℕ`-indexed (co)chain complexes.
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/

70fd9563

bump to nightly-2023-05-13-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/403190b5419b3f03f1a2893ad9352ca7f7d8bff6

e7ae2e9d

Diff

@@ -29,6 +29,7 @@ variable {V : Type u} [Category.{v} V]
 
 namespace ChainComplex
 
+#print ChainComplex.truncate /-
 /-- The truncation of a `ℕ`-indexed chain complex,
 deleting the object at `0` and shifting everything else down.
 -/
@@ -43,7 +44,14 @@ def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
         simpa }
   map C D f := { f := fun i => f.f (i + 1) }
 #align chain_complex.truncate ChainComplex.truncate
+-/
 
+/- warning: chain_complex.truncate_to -> ChainComplex.truncateTo is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] (C : ChainComplex.{u1, u2, 0} V _inst_1 _inst_3 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), Quiver.Hom.{succ u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _inst_1 _inst_3 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) 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(StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne)) (ChainComplex.{u1, u2, 0} V _inst_1 _inst_3 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_3 (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.truncate.{u1, u2} V _inst_1 _inst_3) C) (CategoryTheory.Functor.obj.{u1, u1, u2, max u2 u1} V _inst_1 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+but is expected to have type
+  forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroObject.{u1, u2} V _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] (C : ChainComplex.{u1, u2, 0} V _inst_1 _inst_3 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)), Quiver.Hom.{succ u1, max u2 u1} (ChainComplex.{u1, u2, 0} V _inst_1 _inst_3 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat 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+Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_to ChainComplex.truncateToₓ'. -/
 /-- There is a canonical chain map from the truncation of a chain map `C` to
 the "single object" chain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 1 0` in degree 0, and zero otherwise.
@@ -57,6 +65,7 @@ def truncateTo [HasZeroObject V] [HasZeroMorphisms V] (C : ChainComplex V ℕ) :
 -- `[∀ n, exact (C.d (n+2) (n+1)) (C.d (n+1) n)] [epi (C.d 1 0)]` iff `quasi_iso (C.truncate_to)`
 variable [HasZeroMorphisms V]
 
+#print ChainComplex.augment /-
 /-- We can "augment" a chain complex by inserting an arbitrary object in degree zero
 (shifting everything else up), along with a suitable differential.
 -/
@@ -85,25 +94,33 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫
     · rw [C.shape, zero_comp]
       simpa using i.succ_succ_ne_one.symm
 #align chain_complex.augment ChainComplex.augment
+-/
 
+#print ChainComplex.augment_X_zero /-
 @[simp]
-theorem augment_x_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
+theorem augment_X_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
     (augment C f w).pt 0 = X :=
   rfl
-#align chain_complex.augment_X_zero ChainComplex.augment_x_zero
+#align chain_complex.augment_X_zero ChainComplex.augment_X_zero
+-/
 
+#print ChainComplex.augment_X_succ /-
 @[simp]
-theorem augment_x_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
+theorem augment_X_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (augment C f w).pt (i + 1) = C.pt i :=
   rfl
-#align chain_complex.augment_X_succ ChainComplex.augment_x_succ
+#align chain_complex.augment_X_succ ChainComplex.augment_X_succ
+-/
 
+#print ChainComplex.augment_d_one_zero /-
 @[simp]
 theorem augment_d_one_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
     (augment C f w).d 1 0 = f :=
   rfl
 #align chain_complex.augment_d_one_zero ChainComplex.augment_d_one_zero
+-/
 
+#print ChainComplex.augment_d_succ_succ /-
 @[simp]
 theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j :=
@@ -113,7 +130,14 @@ theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X)
   rfl
   rfl
 #align chain_complex.augment_d_succ_succ ChainComplex.augment_d_succ_succ
+-/
 
+/- warning: chain_complex.truncate_augment -> ChainComplex.truncateAugment is a dubious translation:
+lean 3 declaration is
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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.{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 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+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] (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, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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 0 (instOfNatNat 0))) X) (w : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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) (CategoryTheory.CategoryStruct.comp.{u1, u2} V 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Nat.canonicallyOrderedCommSemiring)) C (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) X (HomologicalComplex.d.{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)) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) f) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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))) 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+Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment ChainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented chain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -139,25 +163,45 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d
         simp
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
 
+/- warning: chain_complex.truncate_augment_hom_f -> ChainComplex.truncateAugment_hom_f is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, max u2 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)) (HomologicalComplex.instCategoryHomologicalComplex.{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))) (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)) (HomologicalComplex.instCategoryHomologicalComplex.{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))) (ChainComplex.truncate.{u1, u2} V _inst_1 _inst_2)) (ChainComplex.augment.{u1, u2} V _inst_1 _inst_2 C X f w)) C (ChainComplex.truncateAugment.{u1, u2} V _inst_1 _inst_2 C X f w)) i) (CategoryTheory.CategoryStruct.id.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1) (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 i))
+Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_f
 
+/- warning: chain_complex.truncate_augment_inv_f -> ChainComplex.truncateAugment_inv_f 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] (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} (f : Quiver.Hom.{succ u1, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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 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+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] (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, u2} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (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 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+Case conversion may be inaccurate. Consider using '#align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
   rfl
 #align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_f
 
+#print ChainComplex.chainComplex_d_succ_succ_zero /-
 @[simp]
 theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (i + 2) 0 = 0 :=
   by
   rw [C.shape]
   simpa using i.succ_succ_ne_one.symm
 #align chain_complex.chain_complex_d_succ_succ_zero ChainComplex.chainComplex_d_succ_succ_zero
+-/
 
+/- warning: chain_complex.augment_truncate -> ChainComplex.augmentTruncate is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align chain_complex.augment_truncate ChainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -188,30 +232,52 @@ def augmentTruncate (C : ChainComplex V ℕ) :
         simp
 #align chain_complex.augment_truncate ChainComplex.augmentTruncate
 
+#print ChainComplex.augmentTruncate_hom_f_zero /-
 @[simp]
 theorem augmentTruncate_hom_f_zero (C : ChainComplex V ℕ) :
     (augmentTruncate C).Hom.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align chain_complex.augment_truncate_hom_f_zero ChainComplex.augmentTruncate_hom_f_zero
+-/
 
+/- warning: chain_complex.augment_truncate_hom_f_succ -> ChainComplex.augmentTruncate_hom_f_succ 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.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succ
 
+#print ChainComplex.augmentTruncate_inv_f_zero /-
 @[simp]
 theorem augmentTruncate_inv_f_zero (C : ChainComplex V ℕ) :
     (augmentTruncate C).inv.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_zero ChainComplex.augmentTruncate_inv_f_zero
+-/
 
+/- warning: chain_complex.augment_truncate_inv_f_succ -> ChainComplex.augmentTruncate_inv_f_succ 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.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succ
 
+/- warning: chain_complex.to_single₀_as_complex -> ChainComplex.toSingle₀AsComplex 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), (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)))) 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)) -> (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)
+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), (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} 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(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 (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.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))))) (CategoryTheory.Functor.toPrefunctor.{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))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{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))) (ChainComplex.single₀.{u1, u2} V _inst_1 _inst_2 _inst_3)) X)) -> (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))
+Case conversion may be inaccurate. Consider using '#align chain_complex.to_single₀_as_complex ChainComplex.toSingle₀AsComplexₓ'. -/
 /-- A chain map from a chain complex to a single object chain complex in degree zero
 can be reinterpreted as a chain complex.
 
@@ -227,6 +293,7 @@ end ChainComplex
 
 namespace CochainComplex
 
+#print CochainComplex.truncate /-
 /-- The truncation of a `ℕ`-indexed cochain complex,
 deleting the object at `0` and shifting everything else down.
 -/
@@ -241,7 +308,14 @@ def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V 
         simpa }
   map C D f := { f := fun i => f.f (i + 1) }
 #align cochain_complex.truncate CochainComplex.truncate
+-/
 
+/- warning: cochain_complex.to_truncate -> CochainComplex.toTruncate is a dubious translation:
+lean 3 declaration is
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(OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))) (CochainComplex.truncate.{u1, u2} V _inst_1 _inst_3)) C)
+Case conversion may be inaccurate. Consider using '#align cochain_complex.to_truncate CochainComplex.toTruncateₓ'. -/
 /-- There is a canonical chain map from the truncation of a cochain complex `C` to
 the "single object" cochain complex consisting of the truncated object `C.X 0` in degree 0.
 The components of this chain map are `C.d 0 1` in degree 0, and zero otherwise.
@@ -253,6 +327,7 @@ def toTruncate [HasZeroObject V] [HasZeroMorphisms V] (C : CochainComplex V ℕ)
 
 variable [HasZeroMorphisms V]
 
+#print CochainComplex.augment /-
 /-- We can "augment" a cochain complex by inserting an arbitrary object in degree zero
 (shifting everything else up), along with a suitable differential.
 -/
@@ -285,31 +360,46 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d
       simp only [Nat.zero_eq, ComplexShape.up_Rel, zero_add]
       exact (Nat.one_lt_succ_succ _).Ne
 #align cochain_complex.augment CochainComplex.augment
+-/
 
+#print CochainComplex.augment_X_zero /-
 @[simp]
-theorem augment_x_zero (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
+theorem augment_X_zero (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
     (augment C f w).pt 0 = X :=
   rfl
-#align cochain_complex.augment_X_zero CochainComplex.augment_x_zero
+#align cochain_complex.augment_X_zero CochainComplex.augment_X_zero
+-/
 
+#print CochainComplex.augment_X_succ /-
 @[simp]
-theorem augment_x_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0)
+theorem augment_X_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0)
     (i : ℕ) : (augment C f w).pt (i + 1) = C.pt i :=
   rfl
-#align cochain_complex.augment_X_succ CochainComplex.augment_x_succ
+#align cochain_complex.augment_X_succ CochainComplex.augment_X_succ
+-/
 
+#print CochainComplex.augment_d_zero_one /-
 @[simp]
 theorem augment_d_zero_one (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
     (augment C f w).d 0 1 = f :=
   rfl
 #align cochain_complex.augment_d_zero_one CochainComplex.augment_d_zero_one
+-/
 
+#print CochainComplex.augment_d_succ_succ /-
 @[simp]
 theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0)
     (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j :=
   rfl
 #align cochain_complex.augment_d_succ_succ CochainComplex.augment_d_succ_succ
+-/
 
+/- warning: cochain_complex.truncate_augment -> CochainComplex.truncateAugment is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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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.{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.truncate.{u1, u2} V _inst_1 _inst_2)) (CochainComplex.augment.{u1, u2} V _inst_1 _inst_2 C X f w)) C
+Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment CochainComplex.truncateAugmentₓ'. -/
 /-- Truncating an augmented cochain complex is isomorphic (with components the identity)
 to the original complex.
 -/
@@ -335,12 +425,24 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f
         simp
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
 
+/- warning: cochain_complex.truncate_augment_hom_f -> CochainComplex.truncateAugment_hom_f is a dubious translation:
+lean 3 declaration is
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(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.truncate.{u1, u2} V _inst_1 _inst_2) (CochainComplex.augment.{u1, u2} V _inst_1 _inst_2 C X f w)) C (CategoryTheory.Iso.hom.{u1, max u2 u1} (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.obj.{u1, u1, max u2 u1, max u2 u1} (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.{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.truncate.{u1, u2} V _inst_1 _inst_2) (CochainComplex.augment.{u1, u2} V _inst_1 _inst_2 C X f w)) C (CochainComplex.truncateAugment.{u1, u2} V _inst_1 _inst_2 C X f w)) i) (CategoryTheory.CategoryStruct.id.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1) (HomologicalComplex.x.{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) C i))
+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] (C : 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)) {X : V} (f : 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.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)) C (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (w : Eq.{succ u1} (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.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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (CategoryTheory.CategoryStruct.comp.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1) X (HomologicalComplex.X.{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)) C (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (HomologicalComplex.X.{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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) f (HomologicalComplex.d.{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)) C (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (OfNat.ofNat.{u1} (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.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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 0 (Zero.toOfNat0.{u1} (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.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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 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+Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_fₓ'. -/
 @[simp]
 theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_f
 
+/- warning: cochain_complex.truncate_augment_inv_f -> CochainComplex.truncateAugment_inv_f is a dubious translation:
+lean 3 declaration is
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+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] (C : 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)) {X : V} (f : 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.up.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat 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Nat.canonicallyOrderedCommSemiring)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) f (HomologicalComplex.d.{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)) C (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (OfNat.ofNat.{u1} (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.up.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat 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(CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} V _inst_1 _inst_2 X (HomologicalComplex.X.{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)) C (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))) (i : 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.X.{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 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(OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (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)) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CochainComplex.{u1, u2, 0} V _inst_1 _inst_2 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat 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+Case conversion may be inaccurate. Consider using '#align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_fₓ'. -/
 @[simp]
 theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
     (w : f ≫ C.d 0 1 = 0) (i : ℕ) :
@@ -348,6 +450,7 @@ theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt
   rfl
 #align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_f
 
+#print CochainComplex.cochainComplex_d_succ_succ_zero /-
 @[simp]
 theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C.d 0 (i + 2) = 0 :=
   by
@@ -355,7 +458,14 @@ theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C
   simp only [ComplexShape.up_Rel, zero_add]
   exact (Nat.one_lt_succ_succ _).Ne
 #align cochain_complex.cochain_complex_d_succ_succ_zero CochainComplex.cochainComplex_d_succ_succ_zero
+-/
 
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+Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate CochainComplex.augmentTruncateₓ'. -/
 /-- Augmenting a truncated complex with the original object and morphism is isomorphic
 (with components the identity) to the original complex.
 -/
@@ -386,30 +496,52 @@ def augmentTruncate (C : CochainComplex V ℕ) :
         simp
 #align cochain_complex.augment_truncate CochainComplex.augmentTruncate
 
+#print CochainComplex.augmentTruncate_hom_f_zero /-
 @[simp]
 theorem augmentTruncate_hom_f_zero (C : CochainComplex V ℕ) :
     (augmentTruncate C).Hom.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align cochain_complex.augment_truncate_hom_f_zero CochainComplex.augmentTruncate_hom_f_zero
+-/
 
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(AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (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.truncate.{u1, u2} V _inst_1 _inst_2) C) (HomologicalComplex.x.{u1, u2, 0} Nat V _inst_1 _inst_2 (ComplexShape.up.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat 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(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.truncate.{u1, u2} V _inst_1 _inst_2) C) (HomologicalComplex.x.{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) C (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (HomologicalComplex.d.{u1, u2, 0} Nat V _inst_1 _inst_2 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+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] (C : 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)) (i : 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.X.{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 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+Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succ
 
+#print CochainComplex.augmentTruncate_inv_f_zero /-
 @[simp]
 theorem augmentTruncate_inv_f_zero (C : CochainComplex V ℕ) :
     (augmentTruncate C).inv.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_zero CochainComplex.augmentTruncate_inv_f_zero
+-/
 
+/- warning: cochain_complex.augment_truncate_inv_f_succ -> CochainComplex.augmentTruncate_inv_f_succ is a dubious translation:
+lean 3 declaration is
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+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] (C : 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)) (i : 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.X.{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 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+Case conversion may be inaccurate. Consider using '#align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succₓ'. -/
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
     (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succ
 
+/- warning: cochain_complex.from_single₀_as_complex -> CochainComplex.fromSingle₀AsComplex 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 : 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) (X : V), (Quiver.Hom.{succ u1, max u2 u1} (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) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (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) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (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.obj.{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) X) C) -> (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)
+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 : 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)) (X : V), (Quiver.Hom.{succ u1, max u2 u1} (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 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(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))))) (Prefunctor.obj.{succ u1, succ u1, u2, max u2 u1} V (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} V (CategoryTheory.Category.toCategoryStruct.{u1, u2} V _inst_1)) (CochainComplex.{u1, u2, 0} V _inst_1 _inst_2 Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{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)) (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) C) -> (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))
+Case conversion may be inaccurate. Consider using '#align cochain_complex.from_single₀_as_complex CochainComplex.fromSingle₀AsComplexₓ'. -/
 /-- A chain map from a single object cochain complex in degree zero to a cochain complex
 can be reinterpreted as a cochain complex.

70fd9563

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -36,7 +36,7 @@ deleting the object at `0` and shifting everything else down.
 def truncate [HasZeroMorphisms V] : ChainComplex V ℕ ⥤ ChainComplex V ℕ
     where
   obj C :=
-    { x := fun i => C.x (i + 1)
+    { pt := fun i => C.pt (i + 1)
       d := fun i j => C.d (i + 1) (j + 1)
       shape' := fun i j w => by
         apply C.shape
@@ -49,8 +49,8 @@ the "single object" chain complex consisting of the truncated object `C.X 0` in
 The components of this chain map are `C.d 1 0` in degree 0, and zero otherwise.
 -/
 def truncateTo [HasZeroObject V] [HasZeroMorphisms V] (C : ChainComplex V ℕ) :
-    truncate.obj C ⟶ (single₀ V).obj (C.x 0) :=
-  (toSingle₀Equiv (truncate.obj C) (C.x 0)).symm ⟨C.d 1 0, by tidy⟩
+    truncate.obj C ⟶ (single₀ V).obj (C.pt 0) :=
+  (toSingle₀Equiv (truncate.obj C) (C.pt 0)).symm ⟨C.d 1 0, by tidy⟩
 #align chain_complex.truncate_to ChainComplex.truncateTo
 
 -- PROJECT when `V` is abelian (but not generally?)
@@ -60,12 +60,12 @@ variable [HasZeroMorphisms V]
 /-- We can "augment" a chain complex by inserting an arbitrary object in degree zero
 (shifting everything else up), along with a suitable differential.
 -/
-def augment (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) : ChainComplex V ℕ
+def augment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) : ChainComplex V ℕ
     where
-  x i :=
+  pt i :=
     match i with
     | 0 => X
-    | i + 1 => C.x i
+    | i + 1 => C.pt i
   d i j :=
     match i, j with
     | 1, 0 => f
@@ -87,25 +87,25 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫
 #align chain_complex.augment ChainComplex.augment
 
 @[simp]
-theorem augment_x_zero (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
-    (augment C f w).x 0 = X :=
+theorem augment_x_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
+    (augment C f w).pt 0 = X :=
   rfl
 #align chain_complex.augment_X_zero ChainComplex.augment_x_zero
 
 @[simp]
-theorem augment_x_succ (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
-    (i : ℕ) : (augment C f w).x (i + 1) = C.x i :=
+theorem augment_x_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
+    (i : ℕ) : (augment C f w).pt (i + 1) = C.pt i :=
   rfl
 #align chain_complex.augment_X_succ ChainComplex.augment_x_succ
 
 @[simp]
-theorem augment_d_one_zero (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
+theorem augment_d_one_zero (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
     (augment C f w).d 1 0 = f :=
   rfl
 #align chain_complex.augment_d_one_zero ChainComplex.augment_d_one_zero
 
 @[simp]
-theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
+theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
     (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j :=
   by
   dsimp [augment]
@@ -117,7 +117,7 @@ theorem augment_d_succ_succ (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (
 /-- Truncating an augmented chain complex is isomorphic (with components the identity)
 to the original complex.
 -/
-def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
+def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0) :
     truncate.obj (augment C f w) ≅ C
     where
   Hom := { f := fun i => 𝟙 _ }
@@ -140,14 +140,14 @@ def truncateAugment (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d
 #align chain_complex.truncate_augment ChainComplex.truncateAugment
 
 @[simp]
-theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
-    (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.x i) :=
+theorem truncateAugment_hom_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
+    (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align chain_complex.truncate_augment_hom_f ChainComplex.truncateAugment_hom_f
 
 @[simp]
-theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.x 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
-    (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).x i) :=
+theorem truncateAugment_inv_f (C : ChainComplex V ℕ) {X : V} (f : C.pt 0 ⟶ X) (w : C.d 1 0 ≫ f = 0)
+    (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
   rfl
 #align chain_complex.truncate_augment_inv_f ChainComplex.truncateAugment_inv_f
 
@@ -190,25 +190,25 @@ def augmentTruncate (C : ChainComplex V ℕ) :
 
 @[simp]
 theorem augmentTruncate_hom_f_zero (C : ChainComplex V ℕ) :
-    (augmentTruncate C).Hom.f 0 = 𝟙 (C.x 0) :=
+    (augmentTruncate C).Hom.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align chain_complex.augment_truncate_hom_f_zero ChainComplex.augmentTruncate_hom_f_zero
 
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
-    (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.x (i + 1)) :=
+    (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_hom_f_succ ChainComplex.augmentTruncate_hom_f_succ
 
 @[simp]
 theorem augmentTruncate_inv_f_zero (C : ChainComplex V ℕ) :
-    (augmentTruncate C).inv.f 0 = 𝟙 (C.x 0) :=
+    (augmentTruncate C).inv.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_zero ChainComplex.augmentTruncate_inv_f_zero
 
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
-    (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.x (i + 1)) :=
+    (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align chain_complex.augment_truncate_inv_f_succ ChainComplex.augmentTruncate_inv_f_succ
 
@@ -234,7 +234,7 @@ deleting the object at `0` and shifting everything else down.
 def truncate [HasZeroMorphisms V] : CochainComplex V ℕ ⥤ CochainComplex V ℕ
     where
   obj C :=
-    { x := fun i => C.x (i + 1)
+    { pt := fun i => C.pt (i + 1)
       d := fun i j => C.d (i + 1) (j + 1)
       shape' := fun i j w => by
         apply C.shape
@@ -247,8 +247,8 @@ the "single object" cochain complex consisting of the truncated object `C.X 0` i
 The components of this chain map are `C.d 0 1` in degree 0, and zero otherwise.
 -/
 def toTruncate [HasZeroObject V] [HasZeroMorphisms V] (C : CochainComplex V ℕ) :
-    (single₀ V).obj (C.x 0) ⟶ truncate.obj C :=
-  (fromSingle₀Equiv (truncate.obj C) (C.x 0)).symm ⟨C.d 0 1, by tidy⟩
+    (single₀ V).obj (C.pt 0) ⟶ truncate.obj C :=
+  (fromSingle₀Equiv (truncate.obj C) (C.pt 0)).symm ⟨C.d 0 1, by tidy⟩
 #align cochain_complex.to_truncate CochainComplex.toTruncate
 
 variable [HasZeroMorphisms V]
@@ -256,13 +256,13 @@ variable [HasZeroMorphisms V]
 /-- We can "augment" a cochain complex by inserting an arbitrary object in degree zero
 (shifting everything else up), along with a suitable differential.
 -/
-def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0) :
+def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
     CochainComplex V ℕ
     where
-  x i :=
+  pt i :=
     match i with
     | 0 => X
-    | i + 1 => C.x i
+    | i + 1 => C.pt i
   d i j :=
     match i, j with
     | 0, 1 => f
@@ -287,25 +287,25 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d
 #align cochain_complex.augment CochainComplex.augment
 
 @[simp]
-theorem augment_x_zero (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0) :
-    (augment C f w).x 0 = X :=
+theorem augment_x_zero (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
+    (augment C f w).pt 0 = X :=
   rfl
 #align cochain_complex.augment_X_zero CochainComplex.augment_x_zero
 
 @[simp]
-theorem augment_x_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0)
-    (i : ℕ) : (augment C f w).x (i + 1) = C.x i :=
+theorem augment_x_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0)
+    (i : ℕ) : (augment C f w).pt (i + 1) = C.pt i :=
   rfl
 #align cochain_complex.augment_X_succ CochainComplex.augment_x_succ
 
 @[simp]
-theorem augment_d_zero_one (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0) :
+theorem augment_d_zero_one (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
     (augment C f w).d 0 1 = f :=
   rfl
 #align cochain_complex.augment_d_zero_one CochainComplex.augment_d_zero_one
 
 @[simp]
-theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0)
+theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0)
     (i j : ℕ) : (augment C f w).d (i + 1) (j + 1) = C.d i j :=
   rfl
 #align cochain_complex.augment_d_succ_succ CochainComplex.augment_d_succ_succ
@@ -313,7 +313,7 @@ theorem augment_d_succ_succ (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0)
 /-- Truncating an augmented cochain complex is isomorphic (with components the identity)
 to the original complex.
 -/
-def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0) :
+def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0) (w : f ≫ C.d 0 1 = 0) :
     truncate.obj (augment C f w) ≅ C
     where
   Hom := { f := fun i => 𝟙 _ }
@@ -336,14 +336,15 @@ def truncateAugment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f
 #align cochain_complex.truncate_augment CochainComplex.truncateAugment
 
 @[simp]
-theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0)
-    (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.x i) :=
+theorem truncateAugment_hom_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
+    (w : f ≫ C.d 0 1 = 0) (i : ℕ) : (truncateAugment C f w).Hom.f i = 𝟙 (C.pt i) :=
   rfl
 #align cochain_complex.truncate_augment_hom_f CochainComplex.truncateAugment_hom_f
 
 @[simp]
-theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.x 0) (w : f ≫ C.d 0 1 = 0)
-    (i : ℕ) : (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).x i) :=
+theorem truncateAugment_inv_f (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.pt 0)
+    (w : f ≫ C.d 0 1 = 0) (i : ℕ) :
+    (truncateAugment C f w).inv.f i = 𝟙 ((truncate.obj (augment C f w)).pt i) :=
   rfl
 #align cochain_complex.truncate_augment_inv_f CochainComplex.truncateAugment_inv_f
 
@@ -387,25 +388,25 @@ def augmentTruncate (C : CochainComplex V ℕ) :
 
 @[simp]
 theorem augmentTruncate_hom_f_zero (C : CochainComplex V ℕ) :
-    (augmentTruncate C).Hom.f 0 = 𝟙 (C.x 0) :=
+    (augmentTruncate C).Hom.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align cochain_complex.augment_truncate_hom_f_zero CochainComplex.augmentTruncate_hom_f_zero
 
 @[simp]
 theorem augmentTruncate_hom_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
-    (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.x (i + 1)) :=
+    (augmentTruncate C).Hom.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_hom_f_succ CochainComplex.augmentTruncate_hom_f_succ
 
 @[simp]
 theorem augmentTruncate_inv_f_zero (C : CochainComplex V ℕ) :
-    (augmentTruncate C).inv.f 0 = 𝟙 (C.x 0) :=
+    (augmentTruncate C).inv.f 0 = 𝟙 (C.pt 0) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_zero CochainComplex.augmentTruncate_inv_f_zero
 
 @[simp]
 theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
-    (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.x (i + 1)) :=
+    (augmentTruncate C).inv.f (i + 1) = 𝟙 (C.pt (i + 1)) :=
   rfl
 #align cochain_complex.augment_truncate_inv_f_succ CochainComplex.augmentTruncate_inv_f_succ

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

chore: adaptations to lean 4.8.0 (#12549)

e50e1c94

Diff

@@ -140,7 +140,7 @@ theorem chainComplex_d_succ_succ_zero (C : ChainComplex V ℕ) (i : ℕ) : C.d (
 def augmentTruncate (C : ChainComplex V ℕ) :
     augment (truncate.obj C) (C.d 1 0) (C.d_comp_d _ _ _) ≅ C where
   hom :=
-    { f := fun i => by cases i <;> exact 𝟙 _
+    { f := fun | 0 => 𝟙 _ | n+1 => 𝟙 _
       comm' := fun i j => by
         -- Porting note: was an rcases n with (_|_|n) but that was causing issues
         match i with
@@ -148,7 +148,7 @@ def augmentTruncate (C : ChainComplex V ℕ) :
           cases' j with j <;> dsimp [augment, truncate] <;> simp
     }
   inv :=
-    { f := fun i => by cases i <;> exact 𝟙 _
+    { f := fun | 0 => 𝟙 _ | n+1 => 𝟙 _
       comm' := fun i j => by
         -- Porting note: was an rcases n with (_|_|n) but that was causing issues
         match i with
@@ -335,14 +335,14 @@ theorem cochainComplex_d_succ_succ_zero (C : CochainComplex V ℕ) (i : ℕ) : C
 def augmentTruncate (C : CochainComplex V ℕ) :
     augment (truncate.obj C) (C.d 0 1) (C.d_comp_d _ _ _) ≅ C where
   hom :=
-    { f := fun i => by cases i <;> exact 𝟙 _
+    { f := fun | 0 => 𝟙 _ | n+1 => 𝟙 _
       comm' := fun i j => by
         rcases j with (_ | _ | j) <;> cases i <;>
           · dsimp
             -- Porting note (#10959): simp can't handle this now but aesop does
             aesop }
   inv :=
-    { f := fun i => by cases i <;> exact 𝟙 _
+    { f := fun | 0 => 𝟙 _ | n+1 => 𝟙 _
       comm' := fun i j => by
         rcases j with (_ | _ | j) <;> cases' i with i <;>
           · dsimp

70fd9563

chore: move Mathlib to v4.7.0-rc1 (#11162)

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

fa48894a

Diff

@@ -61,7 +61,8 @@ def augment (C : ChainComplex V ℕ) {X : V} (f : C.X 0 ⟶ X) (w : C.d 1 0 ≫
     | 1, 0, h => absurd rfl h
     | i + 2, 0, _ => rfl
     | 0, _, _ => rfl
-    | i + 1, j + 1, h => by simp only; exact C.shape i j (Nat.succ_ne_succ.1 h)
+    | i + 1, j + 1, h => by
+      simp only; exact C.shape i j (Nat.succ_ne_succ.1 h)
   d_comp_d'
     | _, _, 0, rfl, rfl => w
     | _, _, k + 1, rfl, rfl => C.d_comp_d _ _ _
@@ -143,13 +144,17 @@ def augmentTruncate (C : ChainComplex V ℕ) :
       comm' := fun i j => by
         -- Porting note: was an rcases n with (_|_|n) but that was causing issues
         match i with
-        | 0 | 1 | n+2 => cases' j with j <;> dsimp [augment, truncate] <;> simp }
+        | 0 | 1 | n+2 =>
+          cases' j with j <;> dsimp [augment, truncate] <;> simp
+    }
   inv :=
     { f := fun i => by cases i <;> exact 𝟙 _
       comm' := fun i j => by
         -- Porting note: was an rcases n with (_|_|n) but that was causing issues
         match i with
-        | 0 | 1 | n+2 => cases' j with j <;> dsimp [augment, truncate] <;> simp }
+          | 0 | 1 | n+2 =>
+          cases' j with j <;> dsimp [augment, truncate] <;> simp
+    }
   hom_inv_id := by
     ext i
     cases i <;>

70fd9563

chore: classify simp cannot prove porting notes (#10960)

Classifies by adding issue number #10959 porting notes claiming anything semantically equivalent to:

"simp cannot prove this"
"simp used to be able to close this goal"
"simp can't handle this"
"simp used to work here"

c70ed957

Diff

@@ -334,14 +334,14 @@ def augmentTruncate (C : CochainComplex V ℕ) :
       comm' := fun i j => by
         rcases j with (_ | _ | j) <;> cases i <;>
           · dsimp
-            -- Porting note: simp can't handle this now but aesop does
+            -- Porting note (#10959): simp can't handle this now but aesop does
             aesop }
   inv :=
     { f := fun i => by cases i <;> exact 𝟙 _
       comm' := fun i j => by
         rcases j with (_ | _ | j) <;> cases' i with i <;>
           · dsimp
-            -- Porting note: simp can't handle this now but aesop does
+            -- Porting note (#10959): simp can't handle this now but aesop does
             aesop }
   hom_inv_id := by
     ext i

70fd9563

chore: Remove nonterminal simp at (#7795)

Removes nonterminal uses of simp at. Replaces most of these with instances of simp? ... says.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

4160b2aa

Diff

@@ -237,7 +237,7 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.X 0) (w : f ≫ C.d
     | i + 1, j + 1 => C.d i j
     | _, _ => 0
   shape i j s := by
-    simp at s
+    simp? at s says simp only [ComplexShape.up_Rel] at s
     rcases j with (_ | _ | j) <;> cases i <;> try simp
     · contradiction
     · rw [C.shape]

70fd9563

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

@@ -239,7 +239,7 @@ def augment (C : CochainComplex V ℕ) {X : V} (f : X ⟶ C.X 0) (w : f ≫ C.d
   shape i j s := by
     simp at s
     rcases j with (_ | _ | j) <;> cases i <;> try simp
-    · simp at s
+    · contradiction
     · rw [C.shape]
       simp only [ComplexShape.up_Rel]
       contrapose! s

70fd9563

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +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.augment
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.Single
 
+#align_import algebra.homology.augment from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Augmentation and truncation of `ℕ`-indexed (co)chain complexes.
 -/

70fd9563

chore: fix grammar in docs (#5668)

15cdb8ec

Diff

@@ -25,7 +25,7 @@ variable {V : Type u} [Category.{v} V]
 
 namespace ChainComplex
 
-/-- The truncation of a `ℕ`-indexed chain complex,
+/-- The truncation of an `ℕ`-indexed chain complex,
 deleting the object at `0` and shifting everything else down.
 -/
 @[simps]
@@ -204,7 +204,7 @@ end ChainComplex
 
 namespace CochainComplex
 
-/-- The truncation of a `ℕ`-indexed cochain complex,
+/-- The truncation of an `ℕ`-indexed cochain complex,
 deleting the object at `0` and shifting everything else down.
 -/
 @[simps]

70fd9563

chore: cleanup some simp-related porting notes (#4954)

I was looking on https://github.com/leanprover-community/mathlib4/pull/4933 to see what simp related porting notes I could improve after https://github.com/leanprover/lean4/pull/2266 lands in Lean 4. Mostly things I found could be cleaned up in any case, and so I've moved those into this PR.

There is lots more work to do diagnosing all the simp-related porting notes!

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

aea24d26

Diff

@@ -345,8 +345,7 @@ def augmentTruncate (C : CochainComplex V ℕ) :
         rcases j with (_ | _ | j) <;> cases' i with i <;>
           · dsimp
             -- Porting note: simp can't handle this now but aesop does
-            aesop
-    }
+            aesop }
   hom_inv_id := by
     ext i
     cases i <;>
@@ -395,4 +394,3 @@ def fromSingle₀AsComplex [HasZeroObject V] (C : CochainComplex V ℕ) (X : V)
 #align cochain_complex.from_single₀_as_complex CochainComplex.fromSingle₀AsComplex
 
 end CochainComplex
-

70fd9563

chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

92beef58

Diff

@@ -192,7 +192,7 @@ theorem augmentTruncate_inv_f_succ (C : ChainComplex V ℕ) (i : ℕ) :
 /-- A chain map from a chain complex to a single object chain complex in degree zero
 can be reinterpreted as a chain complex.
 
-Ths is the inverse construction of `truncateTo`.
+This is the inverse construction of `truncateTo`.
 -/
 def toSingle₀AsComplex [HasZeroObject V] (C : ChainComplex V ℕ) (X : V)
     (f : C ⟶ (single₀ V).obj X) : ChainComplex V ℕ :=
@@ -386,7 +386,7 @@ theorem augmentTruncate_inv_f_succ (C : CochainComplex V ℕ) (i : ℕ) :
 /-- A chain map from a single object cochain complex in degree zero to a cochain complex
 can be reinterpreted as a cochain complex.
 
-Ths is the inverse construction of `toTruncate`.
+This is the inverse construction of `toTruncate`.
 -/
 def fromSingle₀AsComplex [HasZeroObject V] (C : CochainComplex V ℕ) (X : V)
     (f : (single₀ V).obj X ⟶ C) : CochainComplex V ℕ :=

70fd9563

feat: port Algebra.Homology.Augment (#3560)

Co-authored-by: Matthew Ballard <matt@mrb.email>

e07a63ac

`algebra.homology.augment` ⟷ `Mathlib.Algebra.Homology.Augment`

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 + 302

algebra.homology.augment ⟷ Mathlib.Algebra.Homology.Augment

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 + 302

`algebra.homology.augment` ⟷ `Mathlib.Algebra.Homology.Augment`