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Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.tensorUnitRight

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → CategoryTheory.Functor C C

The functor fun X ↦ X ⊗ 𝟙_ C.

Defined in
Mathlib.CategoryTheory.Monoidal.Category
Cited by
10 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.MonoidalCategory.rightUnitorNatIso · cited by 7MonoidalCategory.rightUni…CategoryTheory.Functor.LaxMonoidal.ofBifunctor.topMapᵣ · cited by 1ofBifunctor.topMapᵣCategoryTheory.Functor.OplaxMonoidal.ofBifunctor.leftMapᵣ · cited by 1ofBifunctor.leftMapᵣCategoryTheory.Functor.LaxMonoidal.ofBifunctor.leftMapᵣ · cited by 1ofBifunctor.leftMapᵣCategoryTheory.Functor.OplaxMonoidal.ofBifunctor.bottomMapᵣ · cited by 1ofBifunctor.bottomMapᵣCategoryTheory.Functor.LaxMonoidal.ofBifunctor.topMapᵣ_app · cited by 0ofBifunctor.topMapᵣ_appCategoryTheory.Functor.OplaxMonoidal.ofBifunctor · cited by 0OplaxMonoidal.ofBifunctorCategoryTheory.Functor.OplaxMonoidal.ofBifunctor.leftMapᵣ_app · cited by 0ofBifunctor.leftMapᵣ_appCategoryTheory.Functor.LaxMonoidal.ofBifunctor · cited by 0LaxMonoidal.ofBifunctorCategoryTheory.MonoidalCategory.rightUnitorNatIso_hom_app · cited by 0MonoidalCategory.rightUni…CategoryTheory.MonoidalCategory.rightUnitorNatIso_inv_app · cited by 0MonoidalCategory.rightUni…CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.topMapᵣ_app · cited by 0ofBifunctor.topMapᵣ_appCategoryTheory.MonoidalCategory.tensoringRight_ε · cited by 0MonoidalCategory.tensorin…CategoryTheory.MonoidalCategory.tensoringRight_η · cited by 0MonoidalCategory.tensorin…CategoryTheory.Functor.CoreMonoidal.ofBifunctor · cited by 0CoreMonoidal.ofBifunctorCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory.tensorRight · cited by 119MonoidalCategory.tensorRi…MonoidalCategory.tensorUnitRi…CITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by19

Results whose statement or proof uses this declaration.