reserve i,j,k,n,m,l,s,t for Nat;
reserve a,b for Real;
reserve F for real-valued FinSequence;
reserve z for Complex;
reserve x,y for Complex;
reserve r,s,t for natural Number;

theorem
  2|^s = Sum(Newton_Coeff s)
proof
  2|^s = (1+1) |^ s .= Sum((1,1) In_Power s) by Th30
    .= Sum(Newton_Coeff s) by Th31;
  hence thesis;
end;
