
theorem MPA:
  for a,b be non zero Integer holds min(Parity a,Parity b) divides a &
  min (Parity a,Parity b) divides b
  proof
    let a,b be non zero Integer;
    min (Parity a,Parity b) = Parity a or min (Parity a,Parity b) = Parity b
      by XXREAL_0:def 9; then
    A1: min (Parity a,Parity b) divides Parity a &
      min (Parity a,Parity b) divides Parity b by XXREAL_0:def 9,PEPIN31;
    Parity a divides a & Parity b divides b by Th3;
    hence thesis by A1,INT_2:9;
  end;
