Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.smul_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {R : Type u_1}
  [inst_2 : Ring R] [inst_3 : CategoryTheory.Linear R C] {F G K : CochainComplex C ℤ} {n₁ n₂ n₁₂ : ℤ} (k : R)
  (z₁ : CochainComplex.HomComplex.Cochain F G n₁) (z₂ : CochainComplex.HomComplex.Cochain G K n₂) (h : n₁ + n₂ = n₁₂),
  (k • z₁).comp z₂ h = k • z₁.comp z₂ h

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

1 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveRingCategoryTheory.Linear