Theorems · Theorem · category theory
CategoryTheory.Bicategory.comp_whiskerRight_assoc
∀ {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)
{Z : a ⟶ c} (h_1 : CategoryTheory.CategoryStruct.comp h i ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight (CategoryTheory.CategoryStruct.comp η θ) i)
h_1 =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η i)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight θ i) h_1)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 4 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.
Cites6
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.comp_whiskerRightproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.leftUnitor_whiskerRightproof · cited by 7
- CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_idproof · cited by 2
- CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_compproof · cited by 2
- CategoryTheory.FreeBicategory.normalize_naturalityproof · cited by 0