Theorems · Theorem · category theory

ChainComplex.of.d.congr_simp

∀ {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V]
  {α : Type u_2} [inst_2 : AddRightCancelSemigroup α] [inst_3 : One α] {inst_4 : DecidableEq α} [inst_5 : DecidableEq α]
  (X : α → V) (d d_1 : (n : α) → X (n + 1) ⟶ X n),
  d = d_1 → ∀ (i j : α), ChainComplex.of.d X d i j = ChainComplex.of.d X d_1 i j

Defined in: Mathlib.Algebra.Homology.HomologicalComplex
Cited by: 0 results in Mathlib
Foundations: Depth 7 from the axioms · uses Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms AddRightCancelSemigroup One DecidableEq

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
AddRightCancelSemigroupstatement and proof · cited by 41
ChainComplex.of.dstatement and proof · cited by 16

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