Theorems · Theorem · category theory
CategoryTheory.Bicategory.whiskerRight_iff
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b : B} {f g : a ⟶ b} (η θ : f ⟶ g),
CategoryTheory.Bicategory.whiskerRight η (CategoryTheory.CategoryStruct.id b) =
CategoryTheory.Bicategory.whiskerRight θ (CategoryTheory.CategoryStruct.id b) ↔
η = θ- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
- CategoryTheory.Bicategory.whiskerRight_idproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.whiskerLeft_rightUnitorproof · cited by 7