Theorems · Theorem · category theory

CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObj_map_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] (A : CategoryTheory.Functor C D) [inst_3 : CategoryTheory.MonObj A]
  {X Y : C} (f : X ⟶ Y), ((CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObj A).map f).hom = A.map f

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObj