reserve x for set,
  m,n for Nat,
  a,b for Int_position,
  i,j,k for Instruction of SCMPDS,
  s,s1,s2 for State of SCMPDS,
  k1,k2 for Integer,
  loc,l for Nat,
  I,J,K for Program of SCMPDS;
reserve P,P1,P2,Q for Instruction-Sequence of SCMPDS;

theorem Th11:
  for s being State of SCMPDS,I being Program of SCMPDS, a being
  Int_position st I is_halting_on s,P holds IExec(I,P,Initialize s).a =
  Comput(P +* stop I,Initialize s, (LifeSpan(P +* stop I,Initialize s))).a
by SCMPDS_6:def 3,EXTPRO_1:23;
