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-rw-r--r--theories/Arith/Compare_dec.v4
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v
index 53a959d71..360d760a5 100644
--- a/theories/Arith/Compare_dec.v
+++ b/theories/Arith/Compare_dec.v
@@ -198,7 +198,8 @@ Proof.
apply -> nat_compare_lt; auto.
Qed.
-Lemma nat_compare_spec : forall x y, CompSpec eq lt x y (nat_compare x y).
+Lemma nat_compare_spec :
+ forall x y, CompareSpec (x=y) (x<y) (y<x) (nat_compare x y).
Proof.
intros.
destruct (nat_compare x y) as [ ]_eqn; constructor.
@@ -207,7 +208,6 @@ Proof.
apply <- nat_compare_gt; auto.
Qed.
-
(** Some projections of the above equivalences. *)
Lemma nat_compare_Lt_lt : forall n m, nat_compare n m = Lt -> n<m.