Theorems · Theorem · category theory

CategoryTheory.e_id_comp

∀ (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 : C),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.leftUnitor (X ⟶[V] Y)).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerRight (CategoryTheory.eId V X) (X ⟶[V] Y))
        (CategoryTheory.eComp V X X Y)) =
    CategoryTheory.CategoryStruct.id (X ⟶[V] Y)

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

4 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory