Theorems · Definition · category theory

CochainComplex.HomComplex.Cochain.leftUnshift

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

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

13 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive