theorem Th70:
  for i being Instruction of SCM, I being Instruction of SCM+FSA
  st i = I & i is halting holds I is halting
proof
  let i be Instruction of SCM, I be Instruction of SCM+FSA such that
A1: i = I;
  assume
A2: i is halting;
  let S be State of SCM+FSA;
  reconsider s = (S|SCM-Memory) as State of SCM by Th42;
  thus Exec(I,S) = S +* Exec(i,s) by A1,Th44
    .= S +* s by A2
    .= S by Th45;
end;
