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-rw-r--r--lib/Floats.v6
1 files changed, 6 insertions, 0 deletions
diff --git a/lib/Floats.v b/lib/Floats.v
index 7ae1705..94c19d2 100644
--- a/lib/Floats.v
+++ b/lib/Floats.v
@@ -453,6 +453,12 @@ Proof.
now apply cmp_le_lt_eq.
Qed.
+Theorem cmp_lt_gt_false:
+ forall f1 f2, cmp Clt f1 f2 = true -> cmp Cgt f1 f2 = true -> False.
+Proof.
+ unfold cmp; intros; destruct (order_float f1 f2) as [ [] | ]; discriminate.
+Qed.
+
(** Properties of conversions to/from in-memory representation.
The double-precision conversions are bijective (one-to-one).
The single-precision conversions lose precision exactly