Theorems · Theorem · category theory

CategoryTheory.BraidedCategory.braiding_naturality_left_assoc

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
  [self : CategoryTheory.BraidedCategory C] {X Y : C} (f : X ⟶ Y) (Z : C) {Z_1 : C}
  (h : CategoryTheory.MonoidalCategoryStruct.tensorObj Z Y ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z)
      (CategoryTheory.CategoryStruct.comp (β_ Y Z).hom h) =
    CategoryTheory.CategoryStruct.comp (β_ X Z).hom
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft Z f) h)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

5 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.BraidedCategory