Theorems · Definition · category theory
CategoryTheory.Bicategory.rightUnitorNatIsoCat
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
(a b : B) →
(CategoryTheory.Bicategory.postcomposingCat a b b).obj (CategoryTheory.CategoryStruct.id b) ≅
CategoryTheory.CategoryStruct.id (CategoryTheory.Cat.of (a ⟶ b))Right unitor as a 2-isomorphism in Cat.
- Defined in
- Mathlib.CategoryTheory.Bicategory.Yoneda
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
- CategoryTheory.Cat.ofstatement · cited by 189
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.Bicategory.postcomposingCatstatement · cited by 18
- CategoryTheory.Cat.Hom.isoMkproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.yonedaproof · cited by 18
- CategoryTheory.Bicategory.rightUnitorNatIsoCat_hom_toNatTrans_appstatement and proof · cited by 0
- CategoryTheory.Bicategory.rightUnitorNatIsoCat_inv_toNatTrans_appstatement and proof · cited by 0