Theorems · Definition · combinatorics
Quiver.wideSubquiverEquivSetTotal
{V : Type u_1} → [inst : Quiver V] → WideSubquiver V ≃ Set (Quiver.Total V)A wide subquiver of G can equivalently be viewed as a total set of arrows.
- Defined in
- Mathlib.Combinatorics.Quiver.Subquiver
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Quiver
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.
- Setstatement and proof · cited by 53,352
- Quiver.Homproof · cited by 32,603
- Equivstatement · cited by 8,337
- Set.ofPredproof · cited by 6,101
- Quiverstatement and proof · cited by 405
- WideSubquiverstatement and proof · cited by 7
- Quiver.Totalstatement and proof · cited by 6
- Quiver.Total.homproof · cited by 3
- Quiver.Total.leftproof · cited by 2
- Quiver.Total.rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsFreeGroupoid.SpanningTree.endIsFreeproof · cited by 0