Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal

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

Implementation of Mon.equivLaxMonoidalFunctorPUnit.

Defined in
Mathlib.CategoryTheory.Monoidal.Mon
Cited by
15 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategory
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit · cited by 13Mon.equivLaxMonoidalFunct…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux · cited by 3EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIso · cited by 2EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIso · cited by 2EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_unitIso_hom_app_hom_app · cited by 0Mon.equivLaxMonoidalFunct…CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_unitIso_inv_app_hom_app · cited by 0Mon.equivLaxMonoidalFunct…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux_hom · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux_inv · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIso_hom_app_hom · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIso_inv_app_hom · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.isMonHom_counitIsoAux · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_laxMonoidalToMon_obj_mul · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_laxMonoidalToMon_obj_one · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_map_hom_app · cited by 0EquivLaxMonoidalFunctorPU…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_obj · cited by 0EquivLaxMonoidalFunctorPU…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.Mon · cited by 465CategoryTheory.MonCategoryTheory.Mon.Hom.hom · cited by 200Hom.homCategoryTheory.LaxMonoidalFunctor · cited by 96CategoryTheory.LaxMonoida…CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidalObj · cited by 9EquivLaxMonoidalFunctorPU…CategoryTheory.LaxMonoidalFunctor.of · cited by 7LaxMonoidalFunctor.ofEquivLaxMonoidalFunctorPUnit.…CITED BYCITES

Cites10

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.