Theorems · Definition · category theory
CategoryTheory.Bicategory.IsLocallyGroupoid
(B : Type u₁) → [CategoryTheory.Bicategory B] → Prop
A bicategory is locally groupoidal if the categories of 1-morphisms are groupoids.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.IsGroupoidproof · cited by 7
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Pith.pseudofunctorToPithstatement and proof · cited by 10
- CategoryTheory.Bicategory.Pseudofunctor.ofLaxFunctorToLocallyGroupoidstatement and proof · cited by 2
- CategoryTheory.Bicategory.Pseudofunctor.ofOplaxFunctorToLocallyGroupoidstatement and proof · cited by 2
- CategoryTheory.Bicategory.Pseudofunctor.ofLaxFunctorToLocallyGroupoid_mapCompIso_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pseudofunctor.ofLaxFunctorToLocallyGroupoid_mapIdIso_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pseudofunctor.ofOplaxFunctorToLocallyGroupoid_mapCompIso_invstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pseudofunctor.ofOplaxFunctorToLocallyGroupoid_mapIdIso_invstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pith.pseudofunctorToPithCompInclusionStrongIsoHomstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pith.pseudofunctorToPithCompInclusionStrongIsoInvstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pith.pseudofunctorToPith_mapComp_hom_isostatement and proof · cited by 0
- CategoryTheory.Bicategory.Pith.pseudofunctorToPith_mapComp_inv_iso_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Pith.pseudofunctorToPith_mapComp_inv_iso_invstatement and proof · cited by 0