
theorem ThELEM1:
  for L being Z_Lattice, I being Basis of EMLat(L) holds
  I is Basis of EMbedding(L)
  proof
    let L be Z_Lattice, I be Basis of EMLat(L);
    the ModuleStr of EMLat(L) = the ModuleStr of EMbedding(L) by ZMODLAT2:28;
    hence thesis by ZMODLAT2:35;
  end;
