]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/library/nat/plus.ma
Nuova dimostrazione riflessiva di le_to_Bertrand.
[helm.git] / helm / software / matita / library / nat / plus.ma
index d595dad19113cb6626ec4e58cc1e8a2d389be2b1..09bd4e38decbdd477af3aae9745e6ef88a09f165 100644 (file)
@@ -12,8 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/nat/plus".
-
 include "nat/nat.ma".
 
 let rec plus n m \def 
@@ -36,6 +34,11 @@ simplify.reflexivity.
 simplify.apply eq_f.assumption.
 qed.
 
+theorem plus_n_SO : \forall n:nat. S n = n+(S O).
+intro.rewrite > plus_n_O.
+apply plus_n_Sm.
+qed.
+
 theorem sym_plus: \forall n,m:nat. n+m = m+n.
 intros.elim n.
 simplify.apply plus_n_O.