Theorems · Definition · category theory

CochainComplex.HomComplex.Cocycle.leftShift

{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 n' : ℤ) →
              n + a = n' →
                CochainComplex.HomComplex.Cocycle ((CategoryTheory.shiftFunctor (CochainComplex C ℤ) a).obj K) L n'

The map Cocycle K L n → Cocycle (K⟦a⟧) L n' when n + a = n'.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

8 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive