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

theorem Th57:
  for s being State of SCM+FSA, I being good Program of SCM+FSA
  for m being Nat st (for n being Nat st n < m holds IC
  Comput(P +* I, (Initialize s),n) in dom I) holds
  for n being Nat st n <= m
     holds Comput(P +* I, (Initialize s),n).intloc 0 = s.intloc 0
by Th56,SCMFSA7B:def 5;
