proposition: Theorem curve_elt_irr: forall x1 x2 y1 y2 H1 H2, x1 = x2 -> y1 = y2 -> @curve_elt x1 y1 H1 = @curve_elt x2 y2 H2.
proof: Proof. intros x1 x2 y1 y2 H1 H2 H3 H4. subst. rewrite (fun H => eq_proofs_unicity H H1 H2); auto. intros x y; case (Kdec x y); auto. Qed.
imports: Arith_base Field_tac Ring Eqdep_dec FGroup List UList ZArith