reserve a,b,i,j,k,l,m,n for Nat;

theorem SST:
  for a,b be non negative Real holds
    (a+b)|^n >= Sum((a,b) Subnomial n)
  proof
    let a,b be non negative Real;
    for i be Nat holds ((a,b) In_Power n).i >= ((a,b) Subnomial n).i
      by ILS; then
     Sum((a,b) In_Power n) >= Sum((a,b) Subnomial n) by NYS;
    hence thesis by NEWTON:30;
  end;
