Theorems · Theorem · category theory
CategoryTheory.Bicategory.id_whiskerRight
∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
CategoryTheory.Bicategory.whiskerRight (CategoryTheory.CategoryStruct.id f) g =
CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f g)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 13 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.
Cites5
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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.inv_whiskerRightproof · cited by 7
- CategoryTheory.Bicategory.hom_inv_whiskerRightproof · cited by 6
- CategoryTheory.Bicategory.inv_hom_whiskerRightproof · cited by 4
- CategoryTheory.Bicategory.inv_hom_whiskerRight_whiskerRightproof · cited by 1
- CategoryTheory.FreeBicategory.liftHom₂_congrproof · cited by 1
- CategoryTheory.Bicategory.eqToHom_whiskerRightproof · cited by 1
- CategoryTheory.Bicategory.rightZigzagIso_invproof · cited by 1
- CategoryTheory.Bicategory.hom_inv_whiskerRight_whiskerRightproof · cited by 1
- CategoryTheory.Bicategory.leftZigzagIso_invproof · cited by 1
- CategoryTheory.Adjunction.toCat_comp_toCatproof · cited by 0
- CategoryTheory.Bicategory.Adjunction.ofCat_compproof · cited by 0
- CategoryTheory.Pseudofunctor.leftZigzag_mapproof · cited by 0