Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.comp_units_smul

∀ {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}
  (z₁ : CochainComplex.HomComplex.Cochain F G n₁) (k : Rˣ) (z₂ : CochainComplex.HomComplex.Cochain G K n₂)
  (h : n₁ + n₂ = n₁₂), z₁.comp (k • z₂) h = k • z₁.comp z₂ h

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

2 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveRingCategoryTheory.Linear