(* begin hide *)
Notation Rmin_pos := Rmin_pos (only parsing).

Lemma maj_term2 : forall (x h eps l1 alp_f2 alp_f2t2:R) (eps_f2:posreal) (f2:R -> R), 0 < eps -> f2 x <> 0 -> f2 (x + h) <> 0 -> (forall a:R, Rabs a < alp_f2t2 -> Rabs (f2 (x + a) - f2 x) < Rabs (eps * Rsqr (f2 x) / (8 * l1))) -> (forall a:R, Rabs a < Rmin eps_f2 alp_f2 -> / Rabs (f2 (x + a)) < 2 / Rabs (f2 x)) -> h <> 0 -> Rabs h < alp_f2t2 -> Rabs h < Rmin eps_f2 alp_f2 -> l1 <> 0 -> Rabs (l1 / (f2 x * f2 (x + h)) * (f2 x - f2 (x + h))) < eps / 4.