Theorems · Definition · category theory
CategoryTheory.Bicategory.leftUnitorNatIso
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
(a b : B) →
(CategoryTheory.Bicategory.precomposing a a b).obj (CategoryTheory.CategoryStruct.id a) ≅
CategoryTheory.Functor.id (a ⟶ b)Left unitor as a natural isomorphism.
- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 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.
Cites10
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.Bicategory.precomposingstatement · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.leftUnitorNatIso_hom_appstatement and proof · cited by 0
- CategoryTheory.Bicategory.leftUnitorNatIso_inv_appstatement and proof · cited by 0