Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.braidedCategory_braiding

∀ {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]
  (X₁ X₂ : CategoryTheory.Arrow C), β_ X₁ X₂ = CategoryTheory.MonoidalCategory.Arrow.PushoutProduct.braiding X₁ X₂

Defined in: Mathlib.CategoryTheory.Monoidal.Arrow
Cited by: 0 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasPushouts CategoryTheory.Limits.HasInitial CategoryTheory.CartesianMonoidalCategory CategoryTheory.MonoidalClosed CategoryTheory.BraidedCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.Arrowstatement and proof · cited by 713
CategoryTheory.BraidedCategory.braidingstatement and proof · cited by 257
CategoryTheory.Limits.HasInitialstatement and proof · cited by 185
CategoryTheory.Limits.HasPushoutsstatement and proof · cited by 172
CategoryTheory.MonoidalClosedstatement and proof · cited by 134
CategoryTheory.MonoidalCategory.Arrow.pushoutProductstatement · cited by 64

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