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-rw-r--r--theories/Numbers/Integer/Abstract/ZOrder.v3
1 files changed, 3 insertions, 0 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZOrder.v b/theories/Numbers/Integer/Abstract/ZOrder.v
index 295f5355a..e0ef2f15d 100644
--- a/theories/Numbers/Integer/Abstract/ZOrder.v
+++ b/theories/Numbers/Integer/Abstract/ZOrder.v
@@ -23,6 +23,9 @@ Proof NZlt_le_incl.
Theorem Zlt_neq : forall n m : Z, n < m -> n ~= m.
Proof NZlt_neq.
+Theorem Zlt_le_neq : forall n m : Z, n < m <-> n <= m /\ n ~= m.
+Proof NZlt_le_neq.
+
Theorem Zle_refl : forall n : Z, n <= n.
Proof NZle_refl.