Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.uncurry_ihom_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (A : C) {Y Y' : C}
  [inst_2 : CategoryTheory.Closed A] (g : Y ⟶ Y'),
  CategoryTheory.MonoidalClosed.uncurry ((CategoryTheory.ihom A).map g) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.ihom.ev A).app Y) g

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed