Theorems · Theorem · category theory
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_map_hom_app
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X Y : CategoryTheory.Mon C} (f : X ⟶ Y) (x : CategoryTheory.Discrete PUnit.{w + 1}),
((CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal C).map f).hom.app x = f.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorstatement · cited by 63
- CategoryTheory.LaxMonoidalFunctor.Hom.homstatement and proof · cited by 39
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