Theorems · Theorem · category theory
CategoryTheory.Bicategory.whisker_exchange_assoc
∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} {f g : a ⟶ b} {h i : b ⟶ c} (η : f ⟶ g) (θ : h ⟶ i)
{Z : a ⟶ c} (h_1 : CategoryTheory.CategoryStruct.comp g i ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft f θ)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η i) h_1) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η h)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft g θ) h_1)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement and proof · cited by 531
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.Bicategory.whisker_exchangeproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeBicategory.normalize_naturalityproof · cited by 0