Theorems · Definition · group theory
CategoryTheory.Subgroupoid.arrows
{C : Type u} → [inst : CategoryTheory.Groupoid C] → CategoryTheory.Subgroupoid C → (c d : C) → Set (c ⟶ d)The arrow choice for each pair of vertices
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Groupoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
Cited by67
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoid.objsproof · cited by 29
- CategoryTheory.Subgroupoid.comapproof · cited by 8
- CategoryTheory.Subgroupoid.IsNormal.conjstatement · cited by 6
- CategoryTheory.Subgroupoid.IsWide.widestatement · cited by 6
- CategoryTheory.Subgroupoid.invstatement · cited by 6
- CategoryTheory.Subgroupoid.disconnectproof · cited by 5
- CategoryTheory.Subgroupoid.mulstatement · cited by 5
- CategoryTheory.Subgroupoid.galoisConnection_map_comapproof · cited by 4
- CategoryTheory.Subgroupoid.mem_objs_of_srcstatement and proof · cited by 4
- CategoryTheory.Subgroupoid.Map.arrows_iffstatement and proof · cited by 3
- CategoryTheory.Subgroupoid.extstatement and proof · cited by 3
- CategoryTheory.Subgroupoid.generatedproof · cited by 3