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Theorems · Theorem · combinatorics

Quiver.Path.vertices_head_eq

∀ {V : Type u_1} [inst : Quiver V] {a b : V} (p : Quiver.Path a b) (h : optParam (p.vertices ≠ []) ⋯),
  p.vertices.head h = a

The head of the vertices list is the start vertex.

Defined in
Mathlib.Combinatorics.Quiver.Path.Vertices
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Quiver
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Quiver.Hom · cited by 32603Quiver.HomQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathQuiver.Path.vertices · cited by 21Path.verticesQuiver.Path.vertices_ne_nil · cited by 4Path.vertices_ne_nilPath.vertices_head_eqCITED BYCITES

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