Theorems · Theorem · category theory

CategoryTheory.shrinkCoyonedaEquiv_symm_app_shrinkCoyonedaObjObjEquiv_symm

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C] {X : Cᵒᵖ}
  {P : CategoryTheory.Functor C (Type w)} (s : P.obj (Opposite.unop X)) {Y : Cᵒᵖ} (f : Y ⟶ X),
  (CategoryTheory.ConcreteCategory.hom ((CategoryTheory.shrinkCoyonedaEquiv.symm s).app (Opposite.unop Y)))
      (CategoryTheory.shrinkCoyonedaObjObjEquiv.symm f.unop) =
    (CategoryTheory.ConcreteCategory.hom (P.map f.unop)) s

Defined in

Mathlib.CategoryTheory.ShrinkYoneda

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmall