X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fnat%2Fplus.ma;h=09bd4e38decbdd477af3aae9745e6ef88a09f165;hb=f8f3f0bf31de02f543b9bb5e944ea01fd706d3a0;hp=d595dad19113cb6626ec4e58cc1e8a2d389be2b1;hpb=55b82bd235d82ff7f0a40d980effe1efde1f5073;p=helm.git diff --git a/helm/software/matita/library/nat/plus.ma b/helm/software/matita/library/nat/plus.ma index d595dad19..09bd4e38d 100644 --- a/helm/software/matita/library/nat/plus.ma +++ b/helm/software/matita/library/nat/plus.ma @@ -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.