reserve N for with_zero set;

theorem Th11:
  for A being with_non_trivial_ObjectKinds IC-Ins-separated
non empty with_non-empty_values AMI-Struct over N, I being Instruction
  of A st I is halting holds Out_\_Inp I is empty
proof
  let A be with_non_trivial_ObjectKinds IC-Ins-separated non empty
  with_non-empty_values AMI-Struct over N, I be Instruction of A such that
A1: I is halting;
  Out_\_Inp I c= Output I by Th3;
  then Out_\_Inp I c= {} by A1,Th10;
  hence thesis;
end;
