Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.id_eq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (x : C)
  [inst_2 : CategoryTheory.Closed x],
  CategoryTheory.MonoidalClosed.id x =
    CategoryTheory.MonoidalClosed.curry (CategoryTheory.MonoidalCategoryStruct.rightUnitor x).hom

Unfold the definition of id. This exists to streamline the proofs of MonoidalClosed.id_comp and MonoidalClosed.comp_id

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed