Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.curry_natural_left

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

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

6 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Closed