Theorems · Definition · category theory

CategoryTheory.shrinkCoyonedaObjObjEquiv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] →
      {X : Cᵒᵖ} → {Y : C} → (CategoryTheory.shrinkCoyoneda.{w, v, u}.obj X).obj Y ≃ (Opposite.unop X ⟶ Y)

The type (shrinkCoyoneda.obj X).obj Y is equivalent to X.unop ⟶ Y.

Defined in

Mathlib.CategoryTheory.ShrinkYoneda

Cited by

17 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmall