counitAuxAux — Mathlib

English

Intermediate stage of assembling the counit, mirroring unitAuxAuxAux but for the counit.

Русский

Промежуточная стадия сборки кaуни, соответствующая counit в аналогии с unit.

LaTeX

$$$$ \text{counitAuxAux}: F.obj(\operatorname{op}s) \cong OverArrows(\yonedaCollectionPresheafToA F)\ s.hom $$$$

Lean4

/-- Intermediate stage of assembling the counit. -/
@[simps]
def counitAuxAux (F : (CostructuredArrow yoneda A)ᵒᵖ ⥤ Type v) (s : CostructuredArrow yoneda A) :
    F.obj (op s) ≅ OverArrows (yonedaCollectionPresheafToA F) s.hom
    where
  hom := counitForward F s
  inv := counitBackward F s
  hom_inv_id := counitBackward_counitForward F s
  inv_hom_id := counitForward_counitBackward F s

Похожие утверждения