Theorems · Inductive type · category theory
CategoryTheory.Groupoid
Type u → Type (max u (v + 1))
A Groupoid is a category such that all morphisms are isomorphisms.
- Defined in
- Mathlib.CategoryTheory.Groupoid
- Cited by
- 182 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by289
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoidstatement · cited by 75
- CategoryTheory.Subgroupoid.arrowsstatement and proof · cited by 53
- CategoryTheory.Groupoid.invstatement and proof · cited by 36
- CategoryTheory.Grpdproof · cited by 30
- CategoryTheory.Subgroupoid.objsstatement and proof · cited by 29
- CategoryTheory.Subgroupoid.IsNormalstatement · cited by 15
- CategoryTheory.Groupoid.inv_eq_invstatement and proof · cited by 15
- CategoryTheory.FreeGroupoid.liftstatement and proof · cited by 12
- IsFreeGroupoidstatement · cited by 11
- IsFreeGroupoid.Generatorsstatement and proof · cited by 11
- CategoryTheory.Subgroupoid.mapstatement and proof · cited by 10
- CategoryTheory.Functor.closedIhomstatement and proof · cited by 9
Showing the 200 most cited of 289.