Mathlib Map

Theorems · Definition · category theory

CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        CategoryTheory.Functor (CategoryTheory.LaxBraidedFunctor (CategoryTheory.Discrete PUnit.{u + 1}) C)
          (CategoryTheory.CommMon C)

Implementation of CommMon.equivLaxBraidedFunctorPUnit.

Defined in
Mathlib.CategoryTheory.Monoidal.CommMon_
Cited by
11 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit · cited by 4CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso · cited by 3EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso · cited by 3EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_inv_app_hom_hom_app · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_counitIso · cited by 0CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_functor · cited by 0CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_unitIso · cited by 0CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_aux_mul · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_aux_one · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_hom_app_hom_hom · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso_inv_app_hom_hom · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon_map · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon_obj · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_hom_app_hom_hom_app · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.CommMon · cited by 85CategoryTheory.CommMonCategoryTheory.LaxBraidedFunctor · cited by 33CategoryTheory.LaxBraided…CategoryTheory.Functor.mapCommMon · cited by 27Functor.mapCommMonCategoryTheory.LaxBraidedFunctor.toFunctor · cited by 13LaxBraidedFunctor.toFunct…CategoryTheory.CommMon.trivial · cited by 5CommMon.trivialCategoryTheory.Functor.mapCommMonFunctor · cited by 3Functor.mapCommMonFunctorEquivLaxBraidedFunctorPUnit.l…CITED BYCITES

Cites15

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

Cited by14

Results whose statement or proof uses this declaration.