reserve m for Nat;
reserve P for Instruction-Sequence of SCM+FSA;

theorem
  for I being really-closed Program of SCM+FSA
  for P being Instruction-Sequence of SCM+FSA,
  s being State of SCM+FSA st I is_halting_on s,P
holds I ";" Stop SCM+FSA is_halting_on s,P by Lm3;
