Theorems · Definition · category theory
CategoryTheory.Center.ofBraided
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.BraidedCategory C] → CategoryTheory.Functor C (CategoryTheory.Center C)The functor lifting a braided category to its center, using the braiding as the half-braiding.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Centerstatement · cited by 58
- CategoryTheory.BraidedCategory.braiding_naturality_leftproof · cited by 8
- CategoryTheory.Center.ofBraidedObjproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.enrichedNatTransYonedaproof · cited by 2
- CategoryTheory.Center.ofBraided_map_fstatement and proof · cited by 0
- CategoryTheory.Center.ofBraided_objstatement and proof · cited by 0
- CategoryTheory.Center.ofBraided_δ_fstatement · cited by 0
- CategoryTheory.Center.ofBraided_ε_fstatement · cited by 0
- CategoryTheory.Center.ofBraided_η_fstatement · cited by 0
- CategoryTheory.Center.ofBraided_μ_fstatement · cited by 0
- CategoryTheory.enrichedNatTransYonedaTypeIsoYonedaNatTransproof · cited by 0
- CategoryTheory.enrichedNatTransYoneda_mapstatement · cited by 0
- CategoryTheory.enrichedNatTransYoneda_objstatement · cited by 0