diff options
| author |  Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
| commit | 5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch) | |
| tree | 631ad791a7685edafeb1fb2e8faeedc8379318ae /theories/Arith/Minus.v | |
| parent | da178a880e3ace820b41d38b191d3785b82991f5 (diff) | |
Imported Upstream snapshot 8.3~beta0+13298
Diffstat (limited to 'theories/Arith/Minus.v')
| -rw-r--r-- | theories/Arith/Minus.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Arith/Minus.v b/theories/Arith/Minus.v index b961886d..cd6c0a29 100644 --- a/theories/Arith/Minus.v +++ b/theories/Arith/Minus.v @@ -6,11 +6,11 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Minus.v 11072 2008-06-08 16:13:37Z herbelin $ i*) +(*i $Id$ i*) (** [minus] (difference between two natural numbers) is defined in [Init/Peano.v] as: << -Fixpoint minus (n m:nat) {struct n} : nat := +Fixpoint minus (n m:nat) : nat := match n, m with | O, _ => n | S k, O => S k @@ -120,10 +120,10 @@ Proof. intros n m Hnm; apply le_elim_rel with (n:=n) (m:=m); trivial. intros q; destruct q; auto with arith. - simpl. + simpl. apply le_trans with (m := p - 0); [apply HI | rewrite <- minus_n_O]; auto with arith. - + intros q r Hqr _. simpl. auto using HI. Qed. |