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 being State of SCM
  st IC SCM in dom p &  p c= s1 & IncIC( p,k) c= s2
for P1,P2 being Instruction-Sequence of SCM
  st q c= P1 & Reloc(q,k) c= P2
for i being Element of NAT holds IC Comput(P1,s1,i) + k = IC
Comput(P2,s2,i) by Lm1;
