diff options
Diffstat (limited to 'theories/ZArith/Zbool.v')
| -rw-r--r-- | theories/ZArith/Zbool.v | 7 |
1 files changed, 6 insertions, 1 deletions
diff --git a/theories/ZArith/Zbool.v b/theories/ZArith/Zbool.v index 34771897..8cdd73cc 100644 --- a/theories/ZArith/Zbool.v +++ b/theories/ZArith/Zbool.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(* $Id: Zbool.v 12271 2009-08-11 10:29:45Z herbelin $ *) +(* $Id$ *) Require Import BinInt. Require Import Zeven. @@ -228,3 +228,8 @@ Proof. discriminate. Qed. +Lemma Zeq_bool_if : forall x y, if Zeq_bool x y then x=y else x<>y. +Proof. + intros. generalize (Zeq_bool_eq x y)(Zeq_bool_neq x y). + destruct Zeq_bool; auto. +Qed.
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