diff options
Diffstat (limited to 'theories/Reals/Sqrt_reg.v')
| -rw-r--r-- | theories/Reals/Sqrt_reg.v | 11 |
1 files changed, 7 insertions, 4 deletions
diff --git a/theories/Reals/Sqrt_reg.v b/theories/Reals/Sqrt_reg.v index d43baee8..d6b386f1 100644 --- a/theories/Reals/Sqrt_reg.v +++ b/theories/Reals/Sqrt_reg.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <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 *) +(* // * 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) *) (************************************************************************) Require Import Rbase. @@ -21,6 +23,7 @@ Proof. destruct (total_order_T h 0) as [[Hlt|Heq]|Hgt]. repeat rewrite Rabs_left. unfold Rminus; do 2 rewrite <- (Rplus_comm (-1)). + change (-1) with (-(1)). do 2 rewrite Ropp_plus_distr; rewrite Ropp_involutive; apply Rplus_le_compat_l. apply Ropp_le_contravar; apply sqrt_le_1. |