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

theorem Th32:
  for R being Relation, a,b being object st a,b are_convertible_wrt R
  & a <> b holds a in field R & b in field R
proof
  let R be Relation, a,b be object;
A1: field (R \/ R~) = (field R) \/ field (R~) by RELAT_1:18
    .= (field R) \/ field R by RELAT_1:21
    .= field R;
  assume R \/ R~ reduces a,b;
  hence thesis by A1,Th18;
end;
