theorem Th43:
  UsedI*Loc (I ";" J) = UsedI*Loc I \/ UsedI*Loc J
proof
A1: card(stop Directed I) -' 1 = card Directed I by COMPOS_1:71
      .= card I by SCMFSA6A:36;
  dom I = dom Directed I by FUNCT_4:99;
  then
A2: dom Directed I misses dom (Reloc(J, card I)) by COMPOS_1:48;
  thus UsedI*Loc (I ";" J)
     = UsedI*Loc(stop Directed I ';' J)
    .= UsedI*Loc Directed I \/ UsedI*Loc Reloc(J, card I) by A2,Th37,A1
    .= (UsedI*Loc I) \/ UsedI*Loc Reloc(J, card I) by Th42
    .= (UsedI*Loc I) \/ (UsedI*Loc J) by Th41;
end;
