Theorems · Definition · category theory
CategoryTheory.LaxMonoidalFunctor.toFunctor
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{D : Type u₂} →
[inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
[inst_3 : CategoryTheory.MonoidalCategory D] →
CategoryTheory.LaxMonoidalFunctor C D → CategoryTheory.Functor C D- Defined in
- Mathlib.CategoryTheory.Monoidal.Functor
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96
Cited by78
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxMonoidalFunctor.Hom.homstatement · cited by 39
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMonproof · cited by 15
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToMonproof · cited by 15
- CategoryTheory.Functor.mapAddMonFunctorproof · cited by 4
- CategoryTheory.LaxMonoidalFunctor.homMkstatement and proof · cited by 4
- CategoryTheory.LaxMonoidalFunctor.isoOfComponentsstatement and proof · cited by 4
- CategoryTheory.Functor.mapMonFunctorproof · cited by 4
- CategoryTheory.LaxMonoidalFunctor.hom_extstatement and proof · cited by 3
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addUnitIsoproof · cited by 2
- CategoryTheory.LaxMonoidalFunctor.isoMkstatement and proof · cited by 2
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIsoproof · cited by 2
- CategoryTheory.LaxBraidedFunctor.hom_extstatement · cited by 1