reserve N for with_zero set;

theorem Th13:
  for A being IC-Ins-separated non empty
  with_non-empty_values AMI-Struct over N, I being Instruction of A
   st I is halting holds Input I
  is empty
proof
  let A be IC-Ins-separated non empty with_non-empty_values AMI-Struct over
  N, I be Instruction of A;
  assume I is halting;
  then Input I = {} \ Out_\_Inp I by Th12
    .= {};
  hence thesis;
end;
