Definition maj_Reste_E (x y:R) (N:nat) : R :=
  4 *
  (Rmax 1 (Rmax (Rabs x) (Rabs y)) ^ (2 * N) /
    Rsqr (INR (fact (Nat.div2 (pred N))))).

Lemma div2_S_double : forall N:nat, Nat.div2 (S (2 * N)) = N.