Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.braidedCategory

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasPushouts C] →
      [inst_2 : CategoryTheory.Limits.HasInitial C] →
        [inst_3 : CategoryTheory.CartesianMonoidalCategory C] →
          [inst_4 : CategoryTheory.MonoidalClosed C] →
            [inst_5 : CategoryTheory.BraidedCategory C] → CategoryTheory.BraidedCategory (CategoryTheory.Arrow C)

The braided category instance induced by the pushout-product.

Defined in

Mathlib.CategoryTheory.Monoidal.Arrow

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPushoutsCategoryTheory.Limits.HasInitialCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonoidalClosedCategoryTheory.BraidedCategory