Theorems · Definition · category theory
CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
CategoryTheory.Functor.id (CategoryTheory.LaxBraidedFunctor (CategoryTheory.Discrete PUnit.{u + 1}) C) ≅
(CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon C).comp
(CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided C)Implementation of CommMon.equivLaxBraidedFunctorPUnit.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Functor.mapIsoproof · cited by 224
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.eqToIsoproof · cited by 97
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnitproof · cited by 4
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_inv_app_hom_hom_appstatement · cited by 0
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_unitIsostatement · cited by 0
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_hom_app_hom_hom_appstatement · cited by 0