
theorem
  for M, N being complete LATTICE st the RelStr of M = the RelStr of N
  holds lambda M = lambda N
proof
  let M, N be complete LATTICE such that
A1: the RelStr of M = the RelStr of N;
A2: lambda N = UniCl FinMeetCl ((sigma N) \/ (omega N)) by WAYBEL19:33;
A3: lambda M = UniCl FinMeetCl ((sigma M) \/ (omega M)) by WAYBEL19:33;
  sigma M = sigma N by A1,YELLOW_9:52;
  hence thesis by A1,A3,A2,WAYBEL19:3;
end;
