ported to the new destruct

diff --git a/helm/software/matita/library/decidable_kit/eqtype.ma b/helm/software/matita/library/decidable_kit/eqtype.ma
index 88721632f04270377d0de4dfbdb4d60ca585f2b1..35f404df35aee4414ec589e47801c4cecbeba5a7 100644 (file)
--- a/helm/software/matita/library/decidable_kit/eqtype.ma
+++ b/helm/software/matita/library/decidable_kit/eqtype.ma
@@ -95,7 +95,7 @@ cases x (s ps); cases y (t pt); simplify; intros (Est);
 [1: constructor 1; generalize in match ps; rewrite > Est; intros (pt');
     rewrite < (pirrel ? ? ? pt pt' (eqType_decidable bool_eqType)); reflexivity;
 |2: constructor 2; unfold Not; intros (H); destruct H;
-    cases (Est); assumption;]  
+    cases (Est); reflexivity]  
 qed. 
 
 definition sub_eqType ≝ λd : eqType.λp. mk_eqType ? ? (sigma_eq_dec d p).
@@ -132,8 +132,7 @@ cases a; cases b; simplify; intros (H);
 |2,3,5: destruct H;
 |4: rewrite > (b2pT ? ? (eqP d ? ?) H); reflexivity; 
 |6,7: unfold Not; intros (H1); destruct H1
-|8: unfold Not; intros (H1); destruct H1; 
-    rewrite > Hcut in H;  rewrite > cmp_refl in H; destruct H;]
+|8: unfold Not; intros (H1); destruct H1;rewrite > cmp_refl in H; destruct H;]
 qed.
 
 definition option_eqType : eqType → eqType ≝ λd:eqType.mk_eqType ? ? (ocmpP d).

diff --git a/helm/software/matita/library/decidable_kit/list_aux.ma b/helm/software/matita/library/decidable_kit/list_aux.ma
index c1a03060b27ea43871a5c837776876d598771fb2..33a57c75256b7556362146a4386ec8cca6a14e86 100644 (file)
--- a/helm/software/matita/library/decidable_kit/list_aux.ma
+++ b/helm/software/matita/library/decidable_kit/list_aux.ma
@@ -96,7 +96,7 @@ cases c; intros (H); [ apply reflect_true | apply reflect_false ]
      | simplify;  intros;
        cases (b2pT ? ? (andbPF ? ?) (p2bT ? ? (negbP ?) H)); clear H;
        [ intros; lapply (b2pF ? ? (eqP d ? ?) H1) as H'; clear H1;
-         destruct H; rewrite > Hcut in H'; apply H'; reflexivity;
+         destruct H; apply H'; reflexivity;
        | intros; lapply (IH ? H1) as H'; destruct H;
          apply H'; reflexivity;]]]]
 qed.