Theorems · Theorem · category theory

HomologicalComplex.alternatingConst_d

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (A : C) {φ ψ : A ⟶ A} (hOdd : CategoryTheory.CategoryStruct.comp φ ψ = 0)
  (hEven : CategoryTheory.CategoryStruct.comp ψ φ = 0) {c : ComplexShape ℕ} [inst_2 : DecidableRel c.Rel]
  (hc : ∀ (i j : ℕ), c.Rel i j → Odd (i + j)) (i j : ℕ),
  (HomologicalComplex.alternatingConst A hOdd hEven hc).d i j = if c.Rel i j then if Even i then φ else ψ else 0

Defined in

Mathlib.Algebra.Homology.AlternatingConst

Cited by

0 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsDecidableRel