
theorem Th24:
  for G1, G2 being _Graph st G1 == G2
  holds G1 is locally-finite implies G2 is locally-finite
proof
  let G1, G2 be _Graph;
  assume A1: G1 == G2 & G1 is locally-finite;
  let v be Vertex of G2;
  reconsider w = v as Vertex of G1 by A1, GLIB_000:def 34;
  v.edgesInOut() = w.edgesInOut() by A1, GLIB_000:96;
  hence thesis by A1;
end;
