Theorems · Theorem · category theory
CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_functor_map_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X Y : CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C} (α : X ⟶ Y),
(CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit.functor.map α).hom =
α.hom.app (CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.Discrete PUnit.{w + 1}))- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.