Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.tensorUnitLeft
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → CategoryTheory.Functor C CThe functor fun X ↦ 𝟙_ C ⊗ X.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitproof · cited by 1,384
- CategoryTheory.MonoidalCategory.tensorLeftproof · cited by 170
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.leftUnitorNatIsostatement · cited by 5
- CategoryTheory.Functor.LaxMonoidal.ofBifunctor.topMapₗstatement · cited by 1
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.leftMapₗstatement · cited by 1
- CategoryTheory.Functor.LaxMonoidal.ofBifunctor.leftMapₗstatement · cited by 1
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.bottomMapₗstatement · cited by 1
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctorstatement · cited by 0
- CategoryTheory.Functor.LaxMonoidal.ofBifunctor.topMapₗ_appstatement · cited by 0
- CategoryTheory.Functor.LaxMonoidal.ofBifunctorstatement · cited by 0
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.leftMapₗ_appstatement · cited by 0
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.topMapₗ_appstatement · cited by 0
- CategoryTheory.Functor.CoreMonoidal.ofBifunctorstatement · cited by 0
- CategoryTheory.Functor.Monoidal.ofBifunctorstatement · cited by 0