Theorems · Definition · category theory

CategoryTheory.Functor.representableByUliftFunctorEquiv

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {F : CategoryTheory.Functor Cᵒᵖ (Type v)} →
      {X : C} → (F.comp CategoryTheory.uliftFunctor.{w, v}).RepresentableBy X ≃ F.RepresentableBy X

Representing F composed with universe lifting is the same as representing F.

Defined in

Mathlib.CategoryTheory.Yoneda

Cited by

4 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category