Theorems · Definition · category theory

CochainComplex.HomComplex.Cocycle.rightUnshift

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

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

6 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive