Theorems · Definition · category theory
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToMon
(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.Mon C)Implementation of Mon.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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorproof · cited by 63
- CategoryTheory.Functor.mapMonproof · cited by 38
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Mon.equivLaxMonoidalFunctorPUnitproof · cited by 13
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAuxstatement and proof · cited by 3
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsostatement · cited by 2
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIsostatement · cited by 2
- CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_unitIso_hom_app_hom_appstatement · cited by 0
- CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_unitIso_inv_app_hom_appstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux_homstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux_invstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIso_hom_app_homstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIso_inv_app_homstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.isMonHom_counitIsoAuxstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToMon_mapstatement and proof · cited by 0