X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fmatita%2Flibrary%2Fnat%2Ftimes.ma;h=876dfecce3de966dc4e2594bf9d566f4b6f6e9e8;hb=91a095f0686ee569ba035e4e30c7d071588cb8e7;hp=2707c2ba1cdd8ff08a0404fa40de9f714390542c;hpb=7bbce6bc163892cfd99cfcda65db42001b86789f;p=helm.git diff --git a/helm/matita/library/nat/times.ma b/helm/matita/library/nat/times.ma index 2707c2ba1..876dfecce 100644 --- a/helm/matita/library/nat/times.ma +++ b/helm/matita/library/nat/times.ma @@ -70,14 +70,14 @@ apply eq_f.rewrite < assoc_plus. rewrite < sym_plus ? z. rewrite > assoc_plus.reflexivity. qed. -variant times_plus_distr: \forall n,m,p:nat. n*(m+p) = n*m + n*p +variant distr_times_plus: \forall n,m,p:nat. n*(m+p) = n*m + n*p \def distributive_times_plus. theorem associative_times: associative nat times. simplify.intros. elim x.simplify.apply refl_eq. simplify.rewrite < sym_times. -rewrite > times_plus_distr. +rewrite > distr_times_plus. rewrite < sym_times. rewrite < sym_times (times n y) z. rewrite < H.apply refl_eq.