Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.leftShift_rightShift_eq_negOnePow_rightShift_leftShift
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {n : ℤ} (γ : CochainComplex.HomComplex.Cochain K L n) (a n' n'' : ℤ) (hn' : n' + a = n)
(hn'' : n + a = n''),
(γ.rightShift a n' hn').leftShift a n hn' = a.negOnePow • (γ.leftShift a n'' hn'').rightShift a n hn''The left and right shift of cochains commute only up to a sign.
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- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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