Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.lift_braiding_inv_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {T X Y : C} (f : T ⟶ X) (g : T ⟶ Y) {Z : C}
  (h : CategoryTheory.MonoidalCategoryStruct.tensorObj Y X ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f g)
      (CategoryTheory.CategoryStruct.comp (β_ Y X).inv h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift g f) h

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory