singleFunctorsPostcompQuotientIso

English

The isomorphism between the standard single functors and the postcomposition by the quotient in Homotopy.

Русский

Изоморфизм между стандартными одинарными функторaми и посткомпозицией через факторизованный квотинт в гомотопии.

LaTeX

$$$\\text{singleFunctorPostcompQuotientIso }(n) :\\; singleFunctor\, C\, n \\cong CochainComplex.singleFunctor\, C\, n \\;\\circ\\; quotient\\: _ _ $$$

Lean4

/-- The isomorphism given by the very definition of `singleFunctors C`. -/
noncomputable def singleFunctorsPostcompQuotientIso :
    singleFunctors C ≅ (CochainComplex.singleFunctors C).postcomp (HomotopyCategory.quotient _ _) :=
  Iso.refl _

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