Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.leftUnitorNatIso
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
CategoryTheory.MonoidalCategory.tensorUnitLeft C ≅ CategoryTheory.Functor.id CThe left unitor as a natural isomorphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.leftUnitorproof · cited by 437
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.MonoidalCategory.tensorUnitLeftstatement · cited by 8
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.GradedObject.Monoidal.leftUnitorproof · cited by 4
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.leftMapₗproof · cited by 1
- CategoryTheory.Functor.LaxMonoidal.ofBifunctor.bottomMapₗproof · cited by 1
- CategoryTheory.GradedObject.Monoidal.leftUnitor_naturalityproof · cited by 1
- CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.topMapₗproof · cited by 1
- CategoryTheory.Functor.LaxMonoidal.ofBifunctor.leftMapₗproof · cited by 1
- CategoryTheory.Localization.Monoidal.leftUnitorproof · cited by 1
- CategoryTheory.Localization.Monoidal.leftUnitor_hom_appproof · cited by 1
- CategoryTheory.unitClosedproof · cited by 0
- CategoryTheory.GradedObject.Monoidal.triangleproof · cited by 0
- CategoryTheory.MonoidalClosed.unitNatIsoproof · cited by 0
- CategoryTheory.MonoidalCategory.leftUnitorNatIso_hom_appstatement and proof · cited by 0