reserve N for with_zero set;

theorem Th17:
  for A being IC-Ins-separated non empty
  with_non-empty_values AMI-Struct over N, I being Instruction of A st
   ex s being State of A st
  Exec(I,s).IC A <> IC s holds IC A in Out_U_Inp I
proof
  let A be IC-Ins-separated non empty with_non-empty_values AMI-Struct over
  N, I be Instruction of A;
  assume ex s being State of A st Exec(I,s).IC A <> IC s;
  then
A1: IC A in Output I by Def3;
  Output I c= Out_U_Inp I by Th4;
  hence thesis by A1;
end;
