Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.comp_id

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (x y : C)
  [inst_2 : CategoryTheory.Closed x] [inst_3 : CategoryTheory.Closed y],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor (x ⟹ y)).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (x ⟹ y) (CategoryTheory.MonoidalClosed.id y))
        (CategoryTheory.MonoidalClosed.comp x y y)) =
    CategoryTheory.CategoryStruct.id (x ⟹ y)

Right unitality of the enriched structure

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ClosedCategoryTheory.Closed