X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Flist%2Fin.ma;h=d6c165022aa1e55fc3458fe221c61597c99fa157;hb=bfb1d0076c4adf923f0507e4e2ab26519e689b88;hp=cd372394bfcca4a3de87c1498648137a220b5d2c;hpb=bfb7fbf61e86114e49cb3671503e8307a4582342;p=helm.git

diff --git a/helm/software/matita/library/list/in.ma b/helm/software/matita/library/list/in.ma
index cd372394b..d6c165022 100644
--- a/helm/software/matita/library/list/in.ma
+++ b/helm/software/matita/library/list/in.ma
@@ -99,7 +99,7 @@ lemma mem_true_to_in_list :
   \forall x,l.mem A equ x l = true \to in_list A x l.
 intros 5.elim l
   [simplify in H1;destruct H1
-  |simplify in H2;apply (bool_elim ? (equ x t))
+  |simplify in H2;apply (bool_elim ? (equ x a))
      [intro;rewrite > (H ? ? H3);apply in_list_head
      |intro;rewrite > H3 in H2;simplify in H2;
       apply in_list_cons;apply H1;assumption]]
@@ -113,15 +113,14 @@ intros 5.elim l
   [elim (not_in_list_nil ? ? H1)
   |elim H2
     [simplify;rewrite > H;reflexivity
-    |simplify;rewrite > H4;apply (bool_elim ? (equ a a1));intro;rewrite > H5;
-     reflexivity]].
+    |simplify;rewrite > H4;apply (bool_elim ? (equ a1 a2));intro;reflexivity]].
 qed.
 
 lemma in_list_filter_to_p_true : \forall l,x,p.
 in_list nat x (filter nat l p) \to p x = true.
 intros 3;elim l
   [simplify in H;elim (not_in_list_nil ? ? H)
-  |simplify in H1;apply (bool_elim ? (p t));intro;rewrite > H2 in H1;
+  |simplify in H1;apply (bool_elim ? (p a));intro;rewrite > H2 in H1;
    simplify in H1
      [elim (in_list_cons_case ? ? ? ? H1)
         [rewrite > H3;assumption
@@ -132,7 +131,7 @@ qed.
 lemma in_list_filter : \forall l,p,x.in_list nat x (filter nat l p) \to in_list nat x l.
 intros 3;elim l
   [simplify in H;elim (not_in_list_nil ? ? H)
-  |simplify in H1;apply (bool_elim ? (p t));intro;rewrite > H2 in H1;
+  |simplify in H1;apply (bool_elim ? (p a));intro;rewrite > H2 in H1;
    simplify in H1
      [elim (in_list_cons_case ? ? ? ? H1)
         [rewrite > H3;apply in_list_head
@@ -146,7 +145,7 @@ intros 3;elim l
   [elim (not_in_list_nil ? ? H)
   |elim (in_list_cons_case ? ? ? ? H1)
      [rewrite < H3;simplify;rewrite > H2;simplify;apply in_list_head
-     |simplify;apply (bool_elim ? (p t));intro;rewrite > H4;simplify
+     |simplify;apply (bool_elim ? (p a));intro;simplify;
         [apply in_list_cons;apply H;assumption
         |apply H;assumption]]]
 qed.