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(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2019       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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Local Open Scope R_scope.
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(** * Bounds of expressions with trigonometric functions *)
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(* Specifications: *)
Lemma sin2_bound : forall x,
0 <= (sin x)² <= 1.
Lemma cos2_bound : forall x,
0 <= (cos x)² <= 1.