Theorems · Theorem · category theory

CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_map_app_hom_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.MonoidalCategory D] [inst_3 : CategoryTheory.BraidedCategory D]
  {X Y : CategoryTheory.CommMon (CategoryTheory.Functor C D)} (f : X ⟶ Y) (X_1 : C),
  ((CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor.map f).app X_1).hom.hom = f.hom.hom.app X_1

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory