Theorems · Definition · category theory

CategoryTheory.MonoidalClosed.pre

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {A B : C} →
        [inst_2 : CategoryTheory.Closed A] →
          [inst_3 : CategoryTheory.Closed B] → (B ⟶ A) → (CategoryTheory.ihom A ⟶ CategoryTheory.ihom B)

Pre-compose an internal hom with an external hom.

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

34 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ClosedCategoryTheory.Closed