diff options
Diffstat (limited to 'theories/Numbers/NatInt/NZSqrt.v')
| -rw-r--r-- | theories/Numbers/NatInt/NZSqrt.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/NatInt/NZSqrt.v b/theories/Numbers/NatInt/NZSqrt.v index 304a84a8..894c0806 100644 --- a/theories/Numbers/NatInt/NZSqrt.v +++ b/theories/Numbers/NatInt/NZSqrt.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -66,7 +66,7 @@ Qed. Lemma sqrt_unique : forall a b, b² <= a < (S b)² -> √a == b. Proof. intros a b (LEb,LTb). - assert (Ha : 0<=a) by (transitivity b²; trivial using square_nonneg). + assert (Ha : 0<=a) by (transitivity (b²); trivial using square_nonneg). assert (Hb : 0<=b) by (apply sqrt_spec_nonneg; order). assert (Ha': 0<=√a) by now apply sqrt_nonneg. destruct (sqrt_spec a Ha) as (LEa,LTa). @@ -438,7 +438,7 @@ Instance sqrt_up_wd : Proper (eq==>eq) sqrt_up. Proof. assert (Proper (eq==>eq==>Logic.eq) compare). intros x x' Hx y y' Hy. do 2 case compare_spec; trivial; order. - intros x x' Hx. unfold sqrt_up. rewrite Hx. case compare; now rewrite ?Hx. + intros x x' Hx; unfold sqrt_up; rewrite Hx; case compare; now rewrite ?Hx. Qed. (** The spec of [sqrt_up] indeed determines it *) |