Theorems · Definition · category theory

CategoryTheory.ihom.adjunction

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (A : C) →
        [inst_2 : CategoryTheory.Closed A] → CategoryTheory.MonoidalCategory.tensorLeft A ⊣ CategoryTheory.ihom A

The adjunction between A ⊗ - and A ⟹ -.

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

31 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed