Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.braiding_hom_fst

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X Y : C),
  CategoryTheory.CategoryStruct.comp (β_ X Y).hom (CategoryTheory.SemiCartesianMonoidalCategory.fst Y X) =
    CategoryTheory.SemiCartesianMonoidalCategory.snd X Y

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

7 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory