not for L being Chain of P holds L is empty
proof
set z = the Element of P;
set IT = { the Element of P};
reconsider IT = { the Element of P} as Chain of P by ORDERS_2:8;
not IT is empty ;
hence not for L being Chain of P holds L is empty ; :: thesis: verum
end;
hence not for b1 being Chain of P holds b1 is empty ; :: thesis: verum