Theorems · Theorem · category theory

CategoryTheory.shrinkYonedaEquiv_shrinkYoneda_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] {X Y : C}
  (f : X ⟶ Y),
  CategoryTheory.shrinkYonedaEquiv (CategoryTheory.shrinkYoneda.{w, v, u}.map f) =
    CategoryTheory.shrinkYonedaObjObjEquiv.symm f

Defined in

Mathlib.CategoryTheory.ShrinkYoneda

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmall