Theorems · Definition · category theory

CategoryTheory.Grothendieck.compAsSmallFunctorEquivalenceInverse

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (F : CategoryTheory.Functor C CategoryTheory.Cat) →
      CategoryTheory.Functor (CategoryTheory.Grothendieck F)
        (CategoryTheory.Grothendieck (F.comp CategoryTheory.Cat.asSmallFunctor))

The inverse functor to build the equivalence compAsSmallFunctorEquivalence.

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

6 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category