Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.whiskerLeft_curry_ihom_ev_app

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

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed