Theorems · Theorem · category theory
CategoryTheory.Bicategory.whiskerLeft_id
∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.CategoryStruct.id g) =
CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f g)- 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.
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.whiskerLeftstatement · cited by 524
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.inv_whiskerLeftproof · cited by 10
- CategoryTheory.Bicategory.whiskerLeft_inv_homproof · cited by 3
- CategoryTheory.Bicategory.whiskerLeft_hom_invproof · cited by 3
- CategoryTheory.FreeBicategory.liftHom₂_congrproof · cited by 1
- CategoryTheory.Bicategory.whiskerLeft_inv_hom_whiskerRightproof · cited by 1
- CategoryTheory.Bicategory.whiskerLeft_whiskerLeft_hom_invproof · cited by 1
- CategoryTheory.Bicategory.whiskerLeft_whiskerLeft_inv_homproof · cited by 1
- CategoryTheory.Bicategory.whiskerLeft_hom_inv_whiskerRightproof · cited by 1
- CategoryTheory.Bicategory.leftUnitor_hom_congrproof · cited by 0
- CategoryTheory.Bicategory.leftUnitor_inv_congrproof · cited by 0
- CategoryTheory.FreeBicategory.normalize_naturalityproof · cited by 0
- CategoryTheory.Bicategory.whiskerLeft_eqToHomproof · cited by 0