Theorems · Definition · category theory

CategoryTheory.eId

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

The 𝟙_ V-shaped generalized element giving the identity in a V-enriched category.

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

25 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory