quotient_obj_singleFunctors_obj — Mathlib

English

CanonicalDescShortComplex is a quasi-isomorphism (again under ShortExact).

Русский

Канонический DescShortComplex — квазиизоморфизм (при условии ShortExact).

LaTeX

$$$\text{QuasiIso}(\operatorname{descShortComplex} S)$$$

Lean4

@[simp]
theorem quotient_obj_singleFunctors_obj (n : ℤ) (X : C) :
    (HomotopyCategory.quotient C (ComplexShape.up ℤ)).obj ((CochainComplex.singleFunctor C n).obj X) =
      (HomotopyCategory.singleFunctor C n).obj X :=
  rfl

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