map₂ — Mathlib

English

The map₂NatTrans is natural with respect to composition of arrows in ThinSkeleton.

Русский

Map₂NatTrans естественно относительно композиций стрелок в тонком скелетоне.

LaTeX

$$map₂NatTrans (F) is compatible with composition: for f,g, map₂NatTrans F (f ≫ g) = map₂NatTrans F f ≫ map₂NatTrans F g$$

Lean4

/-- A functor `C ⥤ D ⥤ E` computably lowers to a functor
`ThinSkeleton C ⥤ ThinSkeleton D ⥤ ThinSkeleton E` -/
@[simps]
def map₂ (F : C ⥤ D ⥤ E) : ThinSkeleton C ⥤ ThinSkeleton D ⥤ ThinSkeleton E
    where
  obj := map₂Functor F
  map := map₂NatTrans F

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