Theorems · Theorem · category theory

CategoryTheory.enrichedNatTransYoneda_obj

∀ {V : Type v} [inst : CategoryTheory.Category.{w, v} V] [inst_1 : CategoryTheory.MonoidalCategory V] {C : Type u₁}
  [inst_2 : CategoryTheory.EnrichedCategory V C] {D : Type u₂} [inst_3 : CategoryTheory.EnrichedCategory V D]
  [inst_4 : CategoryTheory.BraidedCategory V] (F G : CategoryTheory.EnrichedFunctor V C D) (A : Vᵒᵖ),
  (CategoryTheory.enrichedNatTransYoneda F G).obj A =
    CategoryTheory.GradedNatTrans ((CategoryTheory.Center.ofBraided V).obj (Opposite.unop A)) F G

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategoryCategoryTheory.BraidedCategory