X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fnat%2Fbertrand.ma;h=ce92ee4edc9d7015079831ff14314ae9c1f90aeb;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=7a0363a58117f7455ef7ed127ef339542c151369;hpb=2490d1bf464e276c581ca7b0b7956df2b0f7a490;p=helm.git

diff --git a/helm/software/matita/library/nat/bertrand.ma b/helm/software/matita/library/nat/bertrand.ma
index 7a0363a58..ce92ee4ed 100644
--- a/helm/software/matita/library/nat/bertrand.ma
+++ b/helm/software/matita/library/nat/bertrand.ma
@@ -42,10 +42,10 @@ let rec checker l \def
          | cons h2 t2 => (andb (checker t1) (leb h1 (2*h2))) ]].
 
 lemma checker_cons : \forall t,l.checker (t::l) = true \to checker l = true.
-intros 2;simplify;intro;generalize in match H;elim l
+intros 2;simplify;intro;elim l in H ⊢ %
   [reflexivity
-  |change in H2 with (andb (checker (a::l1)) (leb t (a+(a+O))) = true);
-   apply (andb_true_true ? ? H2)]
+  |change in H1 with (andb (checker (a::l1)) (leb t (a+(a+O))) = true);
+   apply (andb_true_true ? ? H1)]
 qed.
 
 theorem checker_sound : \forall l1,l2,l,x,y.l = l1@(x::y::l2) \to 
@@ -610,7 +610,7 @@ qed.
         
 theorem le_B_split1_teta:\forall n.18 \le n \to not_bertrand n \to
 B_split1 (2*n) \le teta (2 * n / 3).
-intros.unfold B_split1.unfold teta.
+intros. unfold B_split1.unfold teta.
 apply (trans_le ? (pi_p (S (2*n)) primeb (λp:nat.(p)\sup(bool_to_nat (eqb (k (2*n) p) 1)))))
   [apply le_pi_p.intros.
    apply le_exp