Theorems · Definition · category theory
CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
CategoryTheory.Functor (CategoryTheory.CommMon C)
(CategoryTheory.LaxBraidedFunctor (CategoryTheory.Discrete PUnit.{u + 1}) C)Implementation of CommMon.equivLaxBraidedFunctorPUnit.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Discretestatement and proof · cited by 2,447
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Mon.Hom.homproof · cited by 200
- CategoryTheory.CommMonstatement and proof · cited by 85
- CategoryTheory.LaxBraidedFunctorstatement · cited by 33
- CategoryTheory.LaxBraidedFunctor.ofproof · cited by 3
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnitproof · cited by 4
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIsostatement and proof · cited by 3
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIsostatement · cited by 3
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_inv_app_hom_hom_appstatement · cited by 0
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_counitIsostatement · cited by 0
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_inversestatement · cited by 0
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_unitIsostatement · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_map_hom_hom_appstatement and proof · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_objstatement and proof · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_aux_mulstatement · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_aux_onestatement · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_hom_app_hom_homstatement · cited by 0