X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Flibrary_auto%2Fauto%2Fnat%2Frelevant_equations.ma;h=8dee78c4fd7e02fa394e28c63c4ef8754aee6fd2;hb=dfc523454502ccab6a154a32d1d9b4d941d9a6a0;hp=e057351b36f048ab6dafc6a0bb46cd25689b38d8;hpb=1b839e0367f89503398442b7990fb6b6d1fa2152;p=helm.git diff --git a/matita/library_auto/auto/nat/relevant_equations.ma b/matita/library_auto/auto/nat/relevant_equations.ma index e057351b3..8dee78c4f 100644 --- a/matita/library_auto/auto/nat/relevant_equations.ma +++ b/matita/library_auto/auto/nat/relevant_equations.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/library_auto/nat/relevant_equations". +set "baseuri" "cic:/matita/library_autobatch/nat/relevant_equations". include "auto/nat/times.ma". include "auto/nat/minus.ma". @@ -23,7 +23,7 @@ theorem times_plus_l: \forall n,m,p:nat. (n+m)*p = n*p + m*p. intros. apply (trans_eq ? ? (p*(n+m))) [ apply sym_times -| apply (trans_eq ? ? (p*n+p*m));auto +| apply (trans_eq ? ? (p*n+p*m));autobatch (*[ apply distr_times_plus | apply eq_f2; apply sym_times @@ -35,7 +35,7 @@ theorem times_minus_l: \forall n,m,p:nat. (n-m)*p = n*p - m*p. intros. apply (trans_eq ? ? (p*(n-m))) [ apply sym_times -| apply (trans_eq ? ? (p*n-p*m));auto +| apply (trans_eq ? ? (p*n-p*m));autobatch (*[ apply distr_times_minus | apply eq_f2; apply sym_times @@ -46,7 +46,7 @@ qed. theorem times_plus_plus: \forall n,m,p,q:nat. (n + m)*(p + q) = n*p + n*q + m*p + m*q. intros. -auto. +autobatch. (*apply (trans_eq nat ? ((n*(p+q) + m*(p+q)))) [ apply times_plus_l | rewrite > distr_times_plus.