Theorems · Theorem · category theory

CategoryTheory.EnrichedCategory.comp_id

∀ {V : Type v} {inst : CategoryTheory.Category.{w, v} V} {inst_1 : CategoryTheory.MonoidalCategory V} {C : Type u₁}
  [self : CategoryTheory.EnrichedCategory V C] (X Y : C),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor (X ⟶[V] Y)).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (X ⟶[V] Y) (CategoryTheory.EnrichedCategory.id Y))
        (CategoryTheory.EnrichedCategory.comp X Y Y)) =
    CategoryTheory.CategoryStruct.id (X ⟶[V] Y)

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

1 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.EnrichedCategory