Theorems · Theorem · algebraic topology

SSet.toNormalizedChainComplex_fromNormalizedChainComplex_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasCoproducts C]
  [inst_2 : CategoryTheory.Preadditive C] (X : SSet) (R : C) {Z : ChainComplex C ℕ} (h : X.chainComplex R ⟶ Z),
  CategoryTheory.CategoryStruct.comp (X.toNormalizedChainComplex R)
      (CategoryTheory.CategoryStruct.comp (X.fromNormalizedChainComplex R) h) =
    CategoryTheory.CategoryStruct.comp AlgebraicTopology.DoldKan.PInfty h

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate

Cited by

1 results in Mathlib

Foundations

Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.Preadditive