Theorems · Theorem · category theory

ChainComplex.of_d_ne

∀ {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] (X : α → V)
  (d : (n : α) → X (n + 1) ⟶ X n) {i j : α}, i ≠ j + 1 → ChainComplex.of.d X d i j = 0

Defined in: Mathlib.Algebra.Homology.HomologicalComplex
Cited by: 0 results in Mathlib
Foundations: Depth 7 from the axioms · uses propext
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.CategoryStruct.compproof · cited by 17,999
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
CategoryTheory.eqToHomproof · cited by 860
AddRightCancelSemigroupstatement and proof · cited by 41
ChainComplex.of.dstatement · cited by 16

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