
theorem
  for G1, G2 being _Graph, H being Subgraph of G2,
    F being PGraphMapping of G1, G2
  holds rng (H|`F)_V = rng F_V /\ the_Vertices_of H &
    rng (H|`F)_E = rng F_E /\ the_Edges_of H by RELAT_1:88;
