toOplaxFunctor — Mathlib

English

If η is an isomorphism, then F.map₂ η.hom and F.map₂ η.inv form an isomorphism with inverse given by the other component.

Русский

Если η — изоморфизм, то F.map₂ η.hom и F.map₂ η.inv образуют изоморфизм с обратной частью противоположной компоненты.

LaTeX

$$IsIso (F.map₂ η.hom)$$

Lean4

/-- A functor between two categories `C` and `D` can be lifted to an oplax functor between the
corresponding locally discrete bicategories.

This is just an abbreviation of `Functor.toPseudoFunctor.toOplax`.
-/
@[simps! obj map mapId mapComp]
abbrev toOplaxFunctor : OplaxFunctor (LocallyDiscrete C) (LocallyDiscrete D) :=
  F.toPseudoFunctor.toOplax

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