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-rw-r--r--theories/Numbers/NatInt/NZBase.v5
1 files changed, 5 insertions, 0 deletions
diff --git a/theories/Numbers/NatInt/NZBase.v b/theories/Numbers/NatInt/NZBase.v
index 2decfafca1..1215bfba2e 100644
--- a/theories/Numbers/NatInt/NZBase.v
+++ b/theories/Numbers/NatInt/NZBase.v
@@ -17,6 +17,11 @@ Local Open Scope NumScope.
Include BackportEq NZ NZ. (** eq_refl, eq_sym, eq_trans *)
+Lemma eq_sym_iff : forall x y, x==y <-> y==x.
+Proof.
+intros; split; symmetry; auto.
+Qed.
+
(* TODO: how register ~= (which is just a notation) as a Symmetric relation,
hence allowing "symmetry" tac ? *)