instIsEquivalenceFunctorKaroubiFunctorExtension₂

English

In whiskeringLeft, the preimage's app at P has value F.map P.decompId_i ≫ τ.app P.X ≫ G.map P.decompId_p.

Русский

В whiskeringLeft значение на P равно F.map P.decompId_i ≫ τ.app P.X ≫ G.map P.decompId_p.

LaTeX

$$(((\\mathrm{whiskeringLeft} _ _ _).obj (toKaroubi _)).preimage \\tau).app P = F.map P.decompId_i ≫ \\tau.app P.X ≫ G.map P.decompId_p$$

Lean4

noncomputable instance : (functorExtension₂ C D).IsEquivalence :=
  by
  rw [← karoubiUniversal₂_functor_eq]
  infer_instance

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