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-rw-r--r--lib/Integers.v10
1 files changed, 10 insertions, 0 deletions
diff --git a/lib/Integers.v b/lib/Integers.v
index d85007b..4464d26 100644
--- a/lib/Integers.v
+++ b/lib/Integers.v
@@ -1202,6 +1202,11 @@ Qed.
Remark Ztestbit_0: forall n, Z.testbit 0 n = false.
Proof Z.testbit_0_l.
+Remark Ztestbit_1: forall n, Z.testbit 1 n = zeq n 0.
+Proof.
+ intros. destruct n; simpl; auto.
+Qed.
+
Remark Ztestbit_m1: forall n, 0 <= n -> Z.testbit (-1) n = true.
Proof.
intros. destruct n; simpl; auto.
@@ -1515,6 +1520,11 @@ Proof.
intros. unfold testbit. rewrite unsigned_zero. apply Ztestbit_0.
Qed.
+Remark bits_one: forall n, testbit one n = zeq n 0.
+Proof.
+ unfold testbit; intros. rewrite unsigned_one. apply Ztestbit_1.
+Qed.
+
Lemma bits_mone:
forall i, 0 <= i < zwordsize -> testbit mone i = true.
Proof.