for G being Graph
for p1, p2 being Path of G
for vs1, vs2 being FinSequence of the carrier of G st rng p1 misses rng p2 & vs1 is_vertex_seq_of p1 & vs2 is_vertex_seq_of p2 & vs1 . (len vs1) = vs2 . 1 holds
p1 ^ p2 is Path of G