Theorems · Definition · category theory

CategoryTheory.EnrichedFunctor.map

{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] →
              (self : CategoryTheory.EnrichedFunctor V C D) → (X Y : C) → (X ⟶[V] Y) ⟶ self.obj X ⟶[V] self.obj Y

The V-morphism from X ⟶[V] Y to F.obj X ⟶[V] F.obj Y, for all X Y : C

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

26 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory