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diff --git a/helm/matita/library/nat/totient.ma b/helm/matita/library/nat/totient.ma
index 7fc8d95ee..df863fa04 100644
--- a/helm/matita/library/nat/totient.ma
+++ b/helm/matita/library/nat/totient.ma
@@ -31,22 +31,22 @@ qed.
 theorem totient_times: \forall n,m:nat. (gcd m n) = (S O) \to
 totient (n*m) = (totient n)*(totient m).
 intro.
-apply nat_case n.
+apply (nat_case n).
 intro.simplify.intro.reflexivity.
-intros 2.apply nat_case m1.
+intros 2.apply (nat_case m1).
 rewrite < sym_times.
-rewrite < sym_times (totient O).
+rewrite < (sym_times (totient O)).
 simplify.intro.reflexivity.
 intros.
 unfold totient.
-apply count_times m m2 ? ? ? 
-(\lambda b,a. cr_pair (S m) (S m2) a b) (\lambda x. x \mod (S m)) (\lambda x. x \mod (S m2)).
+apply (count_times m m2 ? ? ? 
+(\lambda b,a. cr_pair (S m) (S m2) a b) (\lambda x. x \mod (S m)) (\lambda x. x \mod (S m2))).
 intros.unfold cr_pair.
-apply le_to_lt_to_lt ? (pred ((S m)*(S m2))).
+apply (le_to_lt_to_lt ? (pred ((S m)*(S m2)))).
 unfold min.
 apply le_min_aux_r.
-change with (S (pred ((S m)*(S m2)))) \le ((S m)*(S m2)).
-apply nat_case ((S m)*(S m2)).apply le_n.
+change with ((S (pred ((S m)*(S m2)))) \le ((S m)*(S m2))).
+apply (nat_case ((S m)*(S m2))).apply le_n.
 intro.apply le_n.
 intros.
 generalize in match (mod_cr_pair (S m) (S m2) a b H1 H2 H).