Theorems · Definition · category theory

CochainComplex.HomComplex.Cocycle.shift

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

The map Cocycle K L n → Cocycle (K⟦a⟧) (L⟦a⟧) n.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

1 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive