Theorems · Theorem · category theory
CategoryTheory.Bicategory.comp_whiskerRight
∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} {f g h : a ⟶ b} (η : f ⟶ g) (θ : g ⟶ h) (i : b ⟶ c),
CategoryTheory.Bicategory.whiskerRight (CategoryTheory.CategoryStruct.comp η θ) i =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η i)
(CategoryTheory.Bicategory.whiskerRight θ i)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 14 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.
Cites4
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.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.whiskerLeft_rightUnitorproof · cited by 7
- CategoryTheory.Bicategory.hom_inv_whiskerRightproof · cited by 6
- CategoryTheory.Bicategory.inv_hom_whiskerRightproof · cited by 4
- CategoryTheory.Bicategory.comp_whiskerRight_assocproof · cited by 4
- CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_compproof · cited by 2
- CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_idproof · cited by 2
- CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_naturalityproof · cited by 2
- CategoryTheory.FreeBicategory.liftHom₂_congrproof · cited by 1
- CategoryTheory.Bicategory.conjugateEquiv_whiskerLeftproof · cited by 0
- CategoryTheory.Bicategory.conjugateEquiv_whiskerRightproof · cited by 0
- CategoryTheory.Bicategory.conjugateEquiv_associator_homproof · cited by 0
- CategoryTheory.Pseudofunctor.leftZigzag_mapproof · cited by 0