Theorems · Theorem · category theory

CategoryTheory.MonoidalClosed.comp_eq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (x y z : C)
  [inst_2 : CategoryTheory.Closed x] [inst_3 : CategoryTheory.Closed y],
  CategoryTheory.MonoidalClosed.comp x y z =
    CategoryTheory.MonoidalClosed.curry (CategoryTheory.MonoidalClosed.compTranspose x y z)

Unfold the definition of comp. This exists to streamline the proof of MonoidalClosed.assoc

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Basic

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ClosedCategoryTheory.Closed