(** Proof independence of Qquadratic_Qpositive_to_Qpositive: *)

Scheme quadraticAcc_ind_dep := Induction for quadraticAcc Sort Prop.

Lemma Qquadratic_Qpositive_to_Qpositive_equal_strong : forall (a1 a2 b1 b2 c1 c2 d1 d2 e1 e2 f1 f2 g1 g2 h1 h2 : Z) (x1 x2 y1 y2 : Qpositive) (hyp1 : quadraticAcc a1 b1 c1 d1 e1 f1 g1 h1 x1 y1) (hyp2 : quadraticAcc a2 b2 c2 d2 e2 f2 g2 h2 x2 y2), a1 = a2 -> b1 = b2 -> c1 = c2 -> d1 = d2 -> e1 = e2 -> f1 = f2 -> g1 = g2 -> h1 = h2 -> x1 = x2 -> y1 = y2 -> Qquadratic_Qpositive_to_Qpositive a1 b1 c1 d1 e1 f1 g1 h1 x1 y1 hyp1 = Qquadratic_Qpositive_to_Qpositive a2 b2 c2 d2 e2 f2 g2 h2 x2 y2 hyp2.