#m #n elim (decidable_lt m n) /2 width=1/ /3 width=1/
qed-.
+lemma le_or_ge: ∀m,n. m ≤ n ∨ n ≤ m.
+#m #n elim (decidable_le m n) /2 width=1/ /4 width=2/
+qed-.
+
(* More general conclusion **************************************************)
theorem nat_ind_plus: ∀R:predicate nat.