
theorem LC4:
  for a be non negative Real, n be Nat st 1 <= n
    holds 0 < (seq_n^(a)).n
  proof
    let a be non negative Real, n be Nat;
    AA: n in NAT by ORDINAL1:def 12;
    assume AS:1 <= n;then
    (seq_n^(a)).n = n to_power a by AA,ASYMPT_1:def 3;
    hence thesis by AS,POWER:34;
  end;
