 reserve n,i,k,m for Nat;
 reserve p for Prime;

theorem LogZero:
  ln.1 = 0
  proof
A2: number_e <> 1 by TAYLOR_1:11;
A1: 1 in right_open_halfline 0 by XXREAL_1:235;
    ln.1 = log(number_e, 1) by A1,TAYLOR_1:def 2,def 3
        .= 0 by TAYLOR_1:11,A2,POWER:51;
    hence thesis;
  end;
