Theorems · Theorem · category theory
CategoryTheory.Bicategory.whiskerRight_id
∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b : B} {f g : a ⟶ b} (η : f ⟶ g),
CategoryTheory.Bicategory.whiskerRight η (CategoryTheory.CategoryStruct.id b) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor f).hom
(CategoryTheory.CategoryStruct.comp η (CategoryTheory.Bicategory.rightUnitor g).inv)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
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.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.rightUnitorstatement · cited by 308
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.rightUnitor_naturalityproof · cited by 2
- CategoryTheory.FreeBicategory.liftHom₂_congrproof · cited by 1
- CategoryTheory.Bicategory.rightUnitor_inv_naturalityproof · cited by 1
- CategoryTheory.Bicategory.associator_eqToHom_homproof · cited by 1
- CategoryTheory.Bicategory.associator_eqToHom_invproof · cited by 1
- CategoryTheory.Bicategory.whiskerRight_iffproof · cited by 1
- CategoryTheory.Bicategory.rightUnitor_hom_congrproof · cited by 0
- CategoryTheory.Bicategory.rightUnitor_inv_congrproof · cited by 0
- CategoryTheory.Bicategory.conjugateEquiv_associator_homproof · cited by 0
- CategoryTheory.Bicategory.whiskerRight_id_assocproof · cited by 0
- CategoryTheory.Bicategory.whiskerRight_id_symmproof · cited by 0
- CategoryTheory.FreeBicategory.normalize_naturalityproof · cited by 0