Theorems · Theorem · category theory
CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.rightUnitor g).inv =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.Bicategory.rightUnitor (CategoryTheory.CategoryStruct.comp f g)).inv
(CategoryTheory.Bicategory.associator f g (CategoryTheory.CategoryStruct.id c)).hom- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 22 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.
Cites15
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.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.Bicategory.associatorstatement and proof · cited by 405
- CategoryTheory.Bicategory.rightUnitorstatement and proof · cited by 308
- CategoryTheory.IsIso.Iso.inv_invproof · cited by 30
- CategoryTheory.IsIso.inv_compproof · cited by 22
- CategoryTheory.eq_of_inv_eq_invproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.rightUnitor_comp_invproof · cited by 1
- CategoryTheory.Bicategory.associator_eqToHom_homproof · cited by 1
- CategoryTheory.Bicategory.toNatTrans_mateEquivproof · cited by 1
- CategoryTheory.Bicategory.conjugateEquiv_whiskerLeftproof · cited by 0
- CategoryTheory.Bicategory.conjugateEquiv_whiskerRightproof · cited by 0
- CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv_assocproof · cited by 0
- CategoryTheory.FreeBicategory.normalize_naturalityproof · cited by 0