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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
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_inverse · cited by 0CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit_unitIso · cited by 0CommMon.equivLaxBraidedFu…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_map_hom_hom_app · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_obj · cited by 0EquivLaxBraidedFunctorPUn…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.unitIso_hom_app_hom_hom_app · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.InducedCategory.Hom.hom · cited by 850Hom.homCategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.Mon.Hom.hom · cited by 200Hom.homCategoryTheory.CommMon · cited by 85CategoryTheory.CommMonCategoryTheory.LaxBraidedFunctor · cited by 33CategoryTheory.LaxBraided…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraidedObj · cited by 6EquivLaxBraidedFunctorPUn…CategoryTheory.LaxBraidedFunctor.of · cited by 3LaxBraidedFunctor.ofEquivLaxBraidedFunctorPUnit.c…CITED BYCITES

Cites12

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Cited by14

Results whose statement or proof uses this declaration.