Theorems · Theorem · combinatorics
Quiver.Path.vertices_length
∀ {V : Type u_2} [inst : Quiver V] {a b : V} (p : Quiver.Path a b), p.vertices.length = p.length + 1The length of vertices list equals path length plus one
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- zero_addproof · cited by 2,366
- Quiverstatement and proof · cited by 405
- Quiver.Pathstatement and proof · cited by 166
- Quiver.Path.lengthstatement and proof · cited by 39
- Quiver.Path.verticesstatement and proof · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- Quiver.Path.vertices_ne_nilproof · cited by 4
- Quiver.Path.getElem_vertices_zeroproof · cited by 2
- Quiver.Path.exists_eq_comp_and_length_eq_of_lt_lengthproof · cited by 1
- Quiver.Path.length_vertices_posproof · cited by 0
- Quiver.Path.vertices_comp_get_length_eqproof · cited by 0