
theorem Th11:
  for u,v being non zero Element of TOP-REAL 3
  for k being non zero Real st u = k * v holds
  Dir u = Dir v
  proof
    let u,v be non zero Element of TOP-REAL 3;
    let k be non zero Real;
    assume u = k * v;
    then are_Prop u,v by ANPROJ_1:1;
    hence thesis by ANPROJ_1:22;
  end;
