instAdditiveCochainComplexIntQ — Mathlib

English

The localization Q, applied to the category of cochain complexes indexed by Int, is additive; i.e., Q.Additive holds for the cochain setting with integer degrees.

Русский

Локализация Q, применённая к категории коCHAIN-цепей, индексации Int, аддитивна; т. е. Additive в коCHAIN-сценарии по целым степеням.

LaTeX

$$$\big( \mathrm{Q} : \mathrm{CochainComplex}(\mathcal{C}; \mathbb{Z}) \to \mathrm{DerivedCategory}(\mathcal{C}) \big).Additive$$$

Lean4

instance : (Q (C := C)).Additive :=
  Functor.additive_of_iso (quotientCompQhIso C)

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