Theorems · Theorem · category theory
CategoryTheory.Cat.rightUnitor_inv_app
∀ {B C : CategoryTheory.Cat} (F : B ⟶ C) (X : ↑B),
(CategoryTheory.Bicategory.rightUnitor F).inv.toNatTrans.app X = CategoryTheory.eqToHom ⋯- Defined in
- Mathlib.CategoryTheory.Category.Cat
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.Bundled.αstatement and proof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorstatement and proof · cited by 531
- CategoryTheory.Bicategory.rightUnitorstatement · cited by 308
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.Pseudofunctor.mapComp'_comp_id_hom_appproof · cited by 2
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_id_hom_appproof · cited by 1
- CategoryTheory.LaxFunctor.map₂_rightUnitor_appproof · cited by 1
- CategoryTheory.Pseudofunctor.mapComp_id_right_hom_appproof · cited by 1
- CategoryTheory.Pseudofunctor.whiskerLeft_mapId_hom_appproof · cited by 1
- CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_id_appproof · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_naturality_id_appproof · cited by 0
- CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_id_appproof · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.whiskerRight_naturality_id_appproof · cited by 0