Theorems · Definition · combinatorics
Quiver.Path.vertices
{V : Type u_1} → [inst : Quiver V] → {a b : V} → Quiver.Path a b → List VThe list of vertices in a path, including the start and end vertices.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Quiver
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.
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.brecOnproof · cited by 10
Cited by21
Results whose statement or proof uses this declaration.
- Quiver.Path.vertices_lengthstatement and proof · cited by 5
- Quiver.Path.vertices_ne_nilstatement · cited by 4
- Quiver.Path.vertices_compstatement and proof · cited by 2
- Quiver.Path.vertices_getLaststatement and proof · cited by 2
- Quiver.Path.getElem_vertices_zerostatement and proof · cited by 2
- Quiver.Path.vertices_toPathstatement · cited by 1
- Quiver.Path.dropLast_append_end_eqstatement and proof · cited by 1
- Quiver.Path.exists_eq_comp_and_length_eq_of_lt_lengthstatement and proof · cited by 1
- Quiver.Path.mem_vertices_consstatement and proof · cited by 1
- Quiver.Path.start_mem_verticesstatement and proof · cited by 0
- Quiver.Path.verticesSet_nilstatement · cited by 0
- Quiver.Path.vertices_comp_get_length_eqstatement and proof · cited by 0