reserve k,m,n,p for Nat;

theorem Th3:
  for s being Real st s > 0
  ex n being Element of NAT st n > 0 & 0 < 1/n & 1/n <= s
proof
  let s be Real;
  consider n being Nat such that
A1: n > 1/s by SEQ_4:3;
A2: 1/(1/s) = 1/s" .= s;
A3: n in NAT by ORDINAL1:def 12;
  assume s > 0;
  then
A4: 1/s > 0;
  take n;
  thus thesis by A4,A1,A2,XREAL_1:85,A3;
end;
