Theorems · Definition · category theory

CategoryTheory.Functor.IsRepresentedBy.representableBy

{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 → F.RepresentableBy X

The canonical representation induced by the universal element x : F.obj X.

Defined in

Mathlib.CategoryTheory.RepresentedBy

Cited by

6 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category