Theorems · Definition · category theory

CategoryTheory.SymmetricCategory.equivReverseBraiding

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.SymmetricCategory C] → (CategoryTheory.Functor.id C).Braided

The identity functor from C to C, where the codomain is given the reversed braiding, upgraded to a braided functor.

Defined in: Mathlib.CategoryTheory.Monoidal.Braided.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.SymmetricCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.idstatement · cited by 3,333
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Functor.Braidedstatement · cited by 32
CategoryTheory.SymmetricCategorystatement and proof · cited by 19
CategoryTheory.reverseBraidingstatement · cited by 1

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