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+Definition T:=nat.
+
+Definition le:=Peano.le.
+
+Hints Unfold le.
+
+Lemma le_refl:(n:nat)(le n n).
+  Auto.
+Qed.
+
+Require Le.
+
+Lemma le_trans:(n,m,k:nat)(le n m) -> (le m k) -> (le n k).
+  EAuto with arith.
+Qed.
+
+Lemma le_antis:(n,m:nat)(le n m) -> (le m n) -> n=m.
+  EAuto with arith.
+Qed.