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 Th38:
  UsedI*Loc p = UsedI*Loc Shift(p, k)
proof
  dom p c= NAT;
  then rng p = rng Shift(p, k) by VALUED_1:26;
 hence thesis;
end;
