reserve Q,Q1,Q2 for multLoop;
reserve x,y,z,w,u,v for Element of Q;

theorem Th41:
  for H being SubLoop of Q holds
  for x,y st x in the carrier of H & y in the carrier of H holds
    x / y in the carrier of H
proof
  let H be SubLoop of Q,x,y;
  assume x in the carrier of H & y in the carrier of H;
  then reconsider x1 = x,y1=y as Element of H;
  x / y = x1 / y1 by Th40;
  hence thesis;
end;
