reserve p,q,r for FinSequence,
  x,y for object;

theorem
  for R being Relation, Q being complete Relation st R,Q are_equivalent
  holds Q is Completion of R
proof
  let R be Relation, Q be complete Relation such that
A1: for a,b being object holds a,b are_convertible_wrt R iff a,b
  are_convertible_wrt Q;
  let a,b be object;
  a,b are_convertible_wrt R iff a,b are_convertible_wrt Q by A1;
  hence thesis by Def23,Th37;
end;
