X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fnat%2Fdiv_and_mod_new.ma;h=2f881b1551a564fb32107ec4c7bcf5f48d07c691;hb=a180bddcd4a8f35de3d7292162ba05d0077723aa;hp=325244f7a4708fbd3777530ed972c916721ab386;hpb=cf4088e2cabcbce9b112f1e1fd5cfd38fe16d427;p=helm.git diff --git a/helm/software/matita/library/nat/div_and_mod_new.ma b/helm/software/matita/library/nat/div_and_mod_new.ma index 325244f7a..2f881b155 100644 --- a/helm/software/matita/library/nat/div_and_mod_new.ma +++ b/helm/software/matita/library/nat/div_and_mod_new.ma @@ -151,7 +151,7 @@ qed. theorem div_mod_spec_div_mod: \forall n,m. O < m \to (div_mod_spec n m (n / m) (n \mod m)). -intros.auto. +intros.autobatch. (* apply div_mod_spec_intro. apply lt_mod_m_m.assumption. @@ -170,7 +170,7 @@ apply (nat_compare_elim q q1);intro [apply (lt_to_not_le r b H2 Hcut2) |elim Hcut.assumption ] - |auto depth=4. apply (trans_le ? ((q1-q)*b)) + |autobatch depth=4. apply (trans_le ? ((q1-q)*b)) [apply le_times_n. apply le_SO_minus.exact H6 |rewrite < sym_plus. @@ -180,7 +180,7 @@ apply (nat_compare_elim q q1);intro |rewrite < sym_times. rewrite > distr_times_minus. rewrite > plus_minus - [auto. + [autobatch. (* rewrite > sym_times. rewrite < H5. @@ -188,7 +188,7 @@ apply (nat_compare_elim q q1);intro apply plus_to_minus. apply H3 *) - |auto. + |autobatch. (* apply le_times_r. apply lt_to_le.