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

theorem Diesel1:
  for x being Real st x > 0 holds
    ln.(x + 1) < x
  proof
    let x be Real;
    assume x > 0; then
    x + 1 > 1 by XREAL_1:29; then
    ln.(x + 1) < (x + 1) - 1 by ENTROPY1:2;
    hence thesis;
  end;
