Theorems · Definition · category theory
CategoryTheory.LaxMonoidalFunctor.of
{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] →
(F : CategoryTheory.Functor C D) → [F.LaxMonoidal] → CategoryTheory.LaxMonoidalFunctor C DConstructor for LaxMonoidalFunctor C D.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Functor
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Functor.LaxMonoidalstatement and proof · cited by 133
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidalproof · cited by 15
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidalproof · cited by 15
- TannakaDuality.FiniteGroup.forgetproof · cited by 9
- CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_inverse_map_hom_appstatement · cited by 0
- CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_inverse_map_hom_appstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_map_hom_appstatement · cited by 0
- CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_objstatement · cited by 0
- CategoryTheory.LaxMonoidalFunctor.of_toFunctorstatement and proof · cited by 0
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidal_map_hom_appstatement · cited by 0
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidal_objstatement · cited by 0