diff options
Diffstat (limited to 'theories/Numbers/Natural/Abstract/NOrder.v')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NOrder.v | 11 |
1 files changed, 5 insertions, 6 deletions
diff --git a/theories/Numbers/Natural/Abstract/NOrder.v b/theories/Numbers/Natural/Abstract/NOrder.v index 826ffa2c..15aed7ab 100644 --- a/theories/Numbers/Natural/Abstract/NOrder.v +++ b/theories/Numbers/Natural/Abstract/NOrder.v @@ -8,7 +8,7 @@ (* Evgeny Makarov, INRIA, 2007 *) (************************************************************************) -(*i $Id: NOrder.v 11040 2008-06-03 00:04:16Z letouzey $ i*) +(*i $Id: NOrder.v 11282 2008-07-28 11:51:53Z msozeau $ i*) Require Export NMul. @@ -309,13 +309,12 @@ Proof NZgt_wf. Theorem lt_wf_0 : well_founded lt. Proof. -assert (H : relations_eq lt (fun n m : N => 0 <= n /\ n < m)). +setoid_replace lt with (fun n m : N => 0 <= n /\ n < m) + using relation (@relations_eq N N). +apply lt_wf. intros x y; split. intro H; split; [apply le_0_l | assumption]. now intros [_ H]. -rewrite H; apply lt_wf. -(* does not work: -setoid_replace lt with (fun n m : N => 0 <= n /\ n < m) using relation relations_eq.*) -Qed. +Defined. (* Theorems that are true for natural numbers but not for integers *) |