Theorems · Definition · category theory

CochainComplex.HomComplex.Cocycle.equivHomShift

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      {K L : CochainComplex C ℤ} →
        {n : ℤ} →
          (K ⟶ (CategoryTheory.shiftFunctor (CochainComplex C ℤ) n).obj L) ≃+ CochainComplex.HomComplex.Cocycle K L n

The additive equivalence K ⟶ L⟦n⟧ ≃+ Cocycle K L n.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

23 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive