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-rw-r--r--theories/Numbers/Integer/Binary/ZBinary.v11
1 files changed, 1 insertions, 10 deletions
diff --git a/theories/Numbers/Integer/Binary/ZBinary.v b/theories/Numbers/Integer/Binary/ZBinary.v
index 0ff896367..7afa1e442 100644
--- a/theories/Numbers/Integer/Binary/ZBinary.v
+++ b/theories/Numbers/Integer/Binary/ZBinary.v
@@ -28,16 +28,7 @@ Definition NZadd := Zplus.
Definition NZsub := Zminus.
Definition NZmul := Zmult.
-Theorem NZeq_equiv : equiv Z NZeq.
-Proof.
-exact (@eq_equiv Z).
-Qed.
-
-Add Relation Z NZeq
- reflexivity proved by (proj1 NZeq_equiv)
- symmetry proved by (proj2 (proj2 NZeq_equiv))
- transitivity proved by (proj1 (proj2 NZeq_equiv))
-as NZeq_rel.
+Instance NZeq_equiv : Equivalence NZeq.
Add Morphism NZsucc with signature NZeq ==> NZeq as NZsucc_wd.
Proof.