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Theorems · Definition · category theory

CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      CategoryTheory.Functor (CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C)
        (CategoryTheory.AddMon C)

Implementation of AddMon.equivLaxMonoidalFunctorPUnit.

Defined in
Mathlib.CategoryTheory.Monoidal.Mon
Cited by
15 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategory

Around this declaration

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

CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit · cited by 13AddMon.equivLaxMonoidalFu…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.counitIsoAux · cited by 3EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addUnitIso · cited by 2EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.counitIso · cited by 2EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.counitIso_hom_app_hom · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.counitIso_inv_app_hom · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.isAddMonHom_counitIsoAux · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon_map · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon_obj · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_counitIso_hom_app_hom · cited by 0AddMon.equivLaxMonoidalFu…CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_counitIso_inv_app_hom · cited by 0AddMon.equivLaxMonoidalFu…CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_unitIso_hom_app_hom_app · cited by 0AddMon.equivLaxMonoidalFu…CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_unitIso_inv_app_hom_app · cited by 0AddMon.equivLaxMonoidalFu…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidal_laxMonoidalToAddMon_obj_add · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidal_laxMonoidalToAddMon_obj_zero · cited by 0EquivLaxMonoidalFunctorPU…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.AddMon · cited by 177CategoryTheory.AddMonCategoryTheory.LaxMonoidalFunctor · cited by 96CategoryTheory.LaxMonoida…CategoryTheory.LaxMonoidalFunctor.toFunctor · cited by 63LaxMonoidalFunctor.toFunc…CategoryTheory.Functor.mapAddMon · cited by 28Functor.mapAddMonCategoryTheory.AddMon.trivial · cited by 11AddMon.trivialCategoryTheory.Functor.mapAddMonFunctor · cited by 4Functor.mapAddMonFunctorEquivLaxMonoidalFunctorPUnit.…CITED BYCITES

Cites14

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

Cited by19

Results whose statement or proof uses this declaration.