X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Flibrary%2Fnat%2Ftimes.ma;h=c2f25e73146383c3e6abba98595eea14b1245161;hb=7f82161596bdfccc1179f5edcc0bfd76d34516b5;hp=2ae5ffd749b745783a2cf8c3eded7166cc4f8108;hpb=7f2444c2670cadafddd8785b687ef312158376b0;p=helm.git diff --git a/matita/library/nat/times.ma b/matita/library/nat/times.ma index 2ae5ffd74..c2f25e731 100644 --- a/matita/library/nat/times.ma +++ b/matita/library/nat/times.ma @@ -51,6 +51,13 @@ rewrite < plus_n_O. reflexivity. qed. +theorem times_SSO_n : \forall n:nat. n + n = S (S O) * n. +intros. +simplify. +rewrite < plus_n_O. +reflexivity. +qed. + theorem symmetric_times : symmetric nat times. unfold symmetric. intros.elim x.