diff options
Diffstat (limited to 'theories/Numbers')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NOrder.v | 9 |
1 files changed, 4 insertions, 5 deletions
diff --git a/theories/Numbers/Natural/Abstract/NOrder.v b/theories/Numbers/Natural/Abstract/NOrder.v index bcd4b92d6c..5212e63814 100644 --- a/theories/Numbers/Natural/Abstract/NOrder.v +++ b/theories/Numbers/Natural/Abstract/NOrder.v @@ -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 *) |