reserve a, b, c, a1, a2, b1, b2 for Int-Location,
  l, l1, l2 for Nat,
  f, g, f1, f2 for FinSeq-Location,
  i, j for Instruction of SCM+FSA,
  X, Y for set;
reserve p, r for preProgram of SCM+FSA,
  I, J for Program of SCM+FSA,
  k, m, n for Nat;

theorem
  UsedI*Loc (I ";" j) = (UsedI*Loc I) \/ UsedInt*Loc j
proof
  thus UsedI*Loc (I ";" j) = (UsedI*Loc I) \/ UsedI*Loc Macro j by Th43
    .= (UsedI*Loc I) \/ UsedInt*Loc j by Th44;
end;
