Theorems · Definition · category theory

CategoryTheory.BraidedCategory.ofCartesianMonoidalCategory

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.BraidedCategory C

CartesianMonoidalCategory implies BraidedCategory. This is not an instance to prevent diamonds.

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.Category CategoryTheory.CartesianMonoidalCategory

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Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement · cited by 779
CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
CategoryTheory.SemiCartesianMonoidalCategory.sndproof · cited by 181
CategoryTheory.CartesianMonoidalCategory.liftproof · cited by 160

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.Over.braidedCategoryproof · cited by 16
CategoryTheory.SemilatticeInf.braidedCategoryproof · cited by 0