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-rw-r--r--theories/Bool/Bool.v7
1 files changed, 7 insertions, 0 deletions
diff --git a/theories/Bool/Bool.v b/theories/Bool/Bool.v
index edf78ed5..66a82008 100644
--- a/theories/Bool/Bool.v
+++ b/theories/Bool/Bool.v
@@ -814,3 +814,10 @@ Defined.
(** Reciprocally, from a decidability, we could state a
[reflect] as soon as we have a [bool_of_sumbool]. *)
+
+(** For instance, we could state the correctness of [Bool.eqb] via [reflect]: *)
+
+Lemma eqb_spec (b b' : bool) : reflect (b = b') (eqb b b').
+Proof.
+ destruct b, b'; now constructor.
+Qed.