Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.comp.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {F G K : CochainComplex C ℤ} {n₁ n₂ n₁₂ : ℤ} (z₁ z₁_1 : CochainComplex.HomComplex.Cochain F G n₁),
  z₁ = z₁_1 →
    ∀ (z₂ z₂_1 : CochainComplex.HomComplex.Cochain G K n₂),
      z₂ = z₂_1 → ∀ (h : n₁ + n₂ = n₁₂) (T : CochainComplex.HomComplex.Triplet n₁₂), z₁.comp z₂ h T = z₁_1.comp z₂_1 h T

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive