
theorem
  for G1, G2 being non-Dmulti _Graph, f being directed PVertexMapping of G1, G2
  st f is total one-to-one holds DPVM2PGM(f) is weak_SG-embedding
proof
  let G1, G2 be non-Dmulti _Graph, f being directed PVertexMapping of G1, G2;
  assume f is total one-to-one;
  then DPVM2PGM(f) is total one-to-one by Th33, Th35;
  hence thesis;
end;
