Theorems · Theorem · category theory

CategoryTheory.Functor.IsRepresentedBy.iff_isIso_uliftYonedaEquiv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor Cᵒᵖ (Type w)} {X : C}
  {x : F.obj (Opposite.op X)},
  F.IsRepresentedBy x ↔ CategoryTheory.IsIso (CategoryTheory.uliftYonedaEquiv.symm { down := x })

Defined in

Mathlib.CategoryTheory.RepresentedBy

Cited by

1 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category