Theorems · Definition · category theory

CategoryTheory.eComp

(V : Type v) →
  [inst : CategoryTheory.Category.{w, v} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u₁} →
        [inst_2 : CategoryTheory.EnrichedCategory V C] →
          (X Y Z : C) → CategoryTheory.MonoidalCategoryStruct.tensorObj (X ⟶[V] Y) (Y ⟶[V] Z) ⟶ X ⟶[V] Z

The composition V-morphism for a V-enriched category.

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

64 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory