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-rw-r--r--src/Util/ZUtil/EquivModulo.v3
1 files changed, 3 insertions, 0 deletions
diff --git a/src/Util/ZUtil/EquivModulo.v b/src/Util/ZUtil/EquivModulo.v
index 3ca8c60c5..a67174629 100644
--- a/src/Util/ZUtil/EquivModulo.v
+++ b/src/Util/ZUtil/EquivModulo.v
@@ -53,6 +53,9 @@ Module Z.
rewrite Z.mul_div_eq by assumption.
reflexivity.
Qed.
+
+ Lemma equiv_modulo_mod_small x y : x == y -> 0 <= x < N -> x = y mod N.
+ Proof. transitivity (x mod N); [rewrite Z.mod_small|]; auto. Qed.
End equiv_modulo.
Hint Rewrite div_to_inv_modulo using solve [ eassumption | lia ] : zstrip_div.