singleFunctorsPostcompQIso_inv_hom

English

For every integer n, the n-th component of the inverse of the postcomposition isomorphism equals the identity morphism.

Русский

Для всякого целого n обратная компонентa изоморфизма посткомпонования равна тождественному морфизму.

LaTeX

$$$((singleFunctorsPostcompQIso\, C).inv.hom)(n) = \mathrm{Id}$.$$

Lean4

theorem singleFunctorsPostcompQIso_inv_hom (n : ℤ) : (singleFunctorsPostcompQIso C).inv.hom n = 𝟙 _ :=
  by
  ext X
  simp [singleFunctorsPostcompQIso, HomotopyCategory.singleFunctorsPostcompQuotientIso]
  rfl

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