Removed final question marks from {apply|elim|rewrite}s.

[helm.git] / helm / matita / library / nat / minimization.ma

diff --git a/helm/matita/library/nat/minimization.ma b/helm/matita/library/nat/minimization.ma
index 748399fbcc699f20c308228bc8e600e64fc2a4d5..4dfda0ba69f014bdb7030dfd7d8782d46ab30817 100644 (file)
--- a/helm/matita/library/nat/minimization.ma
+++ b/helm/matita/library/nat/minimization.ma
@@ -86,7 +86,7 @@ simplify.
 apply bool_ind (\lambda b:bool.
 (f (S n1) = b) \to (f ([\lambda b:bool.nat] match b in bool with
 [ true \Rightarrow (S n1)
-| false  \Rightarrow (max n1 f)])) = true) ? ? ?.
+| false  \Rightarrow (max n1 f)])) = true).
 simplify.intro.assumption.
 simplify.intro.apply H.
 elim H1.elim H3.generalize in match H5.
@@ -94,7 +94,7 @@ apply le_n_Sm_elim a n1 H4.
 intros.
 apply ex_intro nat ? a.
 split.apply le_S_S_to_le.assumption.assumption.
-intros.apply False_ind.apply not_eq_true_false ?.
+intros.apply False_ind.apply not_eq_true_false.
 rewrite < H2.rewrite < H7.rewrite > H6. reflexivity.
 reflexivity.
 qed.
@@ -163,7 +163,7 @@ simplify.
 apply bool_ind (\lambda b:bool.
 (f (m-(S n)) = b) \to (f ([\lambda b:bool.nat] match b in bool with
 [ true \Rightarrow m-(S n)
-| false  \Rightarrow (min_aux n m f)])) = true) ? ? ?.
+| false  \Rightarrow (min_aux n m f)])) = true).
 simplify.intro.assumption.
 simplify.intro.apply H.
 elim H1.elim H3.elim H4.
@@ -204,7 +204,7 @@ rewrite > min_aux_O_f f n.apply le_n.
 elim min_aux_S f n1 n.
 elim H1.rewrite > H3.apply le_n.
 elim H1.rewrite > H3.
-apply trans_le (n-(S n1)) (n-n1) ?.
+apply trans_le (n-(S n1)) (n-n1).
 apply monotonic_le_minus_r.
 apply le_n_Sn.
 assumption.