Theorems · Theorem · category theory
CategoryTheory.Bicategory.rightZigzagIso_inv
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {a b : B} {f : a ⟶ b} {g : b ⟶ a}
(η : CategoryTheory.CategoryStruct.id a ≅ CategoryTheory.CategoryStruct.comp f g)
(ε : CategoryTheory.CategoryStruct.comp g f ≅ CategoryTheory.CategoryStruct.id b),
(CategoryTheory.Bicategory.rightZigzagIso η ε).inv = CategoryTheory.Bicategory.leftZigzag ε.inv η.inv- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 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.
Cites27
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.homproof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Iso.reflproof · cited by 727
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.rightZigzagIso_symmproof · cited by 0