reserve j, k, m for Nat;

theorem
  for k being Element of NAT
   for q being non halt-free finite
      (the InstructionsF of SCM)-valued NAT-defined Function,
      p being q-autonomic non empty FinPartState of SCM , s1
  , s2, s3 being State of SCM st IC SCM in dom p &
   p c= s1 & IncIC(p,k) c=
  s2 & s3 = s1 +* DataPart s2 holds
  for P1,P2 being Instruction-Sequence of SCM
  st q c= P1 & Reloc(q,k) c= P2
  for i being Element of NAT holds DataPart
  Comput(P1,s3,i) = DataPart Comput(P2,s2,i) by Lm1;
