]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground/arith/nat_le_minus_plus.ma
arithmetics for λδ
[helm.git] / matita / matita / contribs / lambdadelta / ground / arith / nat_le_minus_plus.ma
index d569e0cb3e9fac0f01a333f21606c7407fe22125..a059c04e0292fcfe0d8fcc49d95fa5e2aa5dd48d 100644 (file)
@@ -22,7 +22,7 @@ include "ground/arith/nat_le_minus.ma".
 
 (*** le_plus_minus_m_m *)
 lemma nle_plus_minus_sn_refl_sn (n) (m): m ≤ m - n + n.
-#n elim n -n //
+#n @(nat_ind_succ … n) -n //
 #n #IH #m <nminus_succ_dx_pred_sn <nplus_succ_dx
 /2 width=1 by nle_inv_pred_sn/
 qed.