reserve m for Nat;
reserve P,PP,P1,P2 for Instruction-Sequence of SCM+FSA;

theorem Th47:
  for a being Int-Location holds Stop SCM+FSA does not destroy a
proof
  let a be Int-Location;
  now
    let i be Instruction of SCM+FSA;
A1: rng Stop SCM+FSA = {halt SCM+FSA} by AFINSQ_1:33;
    assume i in rng Stop SCM+FSA;
    then i = halt SCM+FSA by A1,TARSKI:def 1;
    hence i does not destroy a;
  end;
  hence thesis;
end;
