(* This program is free software; you can redistribute it and/or      *)
(* modify it under the terms of the GNU Lesser General Public License *)
(* as published by the Free Software Foundation; either version 2.1   *)
(* of the License, or (at your option) any later version.             *)
(*                                                                    *)
(* This program is distributed in the hope that it will be useful,    *)
(* but WITHOUT ANY WARRANTY; without even the implied warranty of     *)
(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
(* You should have received a copy of the GNU Lesser General Public   *)
(* License along with this program; if not, write to the Free         *)
(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
Definition rho (h : TypeSpeed) : R := (g * (tan MaxBank / h))%R.
Definition r (h : TypeSpeed) : R := (h / rho h)%R.
Definition rho_ub (h : TypeSpeed) : R := (g * (tan_ub_MaxBank / h))%R.
Definition rho_lb (h : TypeSpeed) : R := (g * (tan_lb_MaxBank / h))%R.
intro; assert (H := v_cond1 h).
apply Rlt_le_trans with MinSpeed.
unfold MinSpeed in |- *; prove_sup.
assumption.
Qed.

(**********)
Lemma g_pos : (0 < g)%R.