Theorems · Theorem · category theory

CategoryTheory.ihom.coev_ev

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (A B : C)
  [inst_2 : CategoryTheory.Closed A],
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.ihom.coev A).app (A ⟹ B))
      ((CategoryTheory.ihom A).map ((CategoryTheory.ihom.ev A).app B)) =
    CategoryTheory.CategoryStruct.id (A ⟹ B)

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed