X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLOGIC%2FTrack%2Forder.ma;h=934632cd45f1907280dd3679332a380981e64252;hb=dcde2b362a4106e36623d25e6a2d26dffac61848;hp=ee813d62cc744b71cd54c3152deec562650e8f0c;hpb=e0b576827e1d1dd243f304e68cda6b0c7cc21978;p=helm.git

diff --git a/helm/software/matita/contribs/LOGIC/Track/order.ma b/helm/software/matita/contribs/LOGIC/Track/order.ma
index ee813d62c..934632cd4 100644
--- a/helm/software/matita/contribs/LOGIC/Track/order.ma
+++ b/helm/software/matita/contribs/LOGIC/Track/order.ma
@@ -12,84 +12,25 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/LOGIC/Track/order".
 
-include "Track/props.ma".
 
-(* Order properties *********************************************************)
+include "Insert/fun.ma".
+include "Track/defs.ma".
 
+(* Order properties *********************************************************)
+(*
 theorem track_refl: \forall P. \forall c:Formula. \exists r. 
                     Track P r (pair c c).
- intros. elim c; clear c;
+ intros; elim c; clear c;
  [ autobatch
  | lapply (insert_total (pair f f1) zero P); [2:autobatch];
-   decompose. autobatch depth = 5 
+   decompose; autobatch depth = 5 width = 4 size = 8
  ].
 qed.
 
-theorem track_trans: \forall p,q,A,B. \forall c:Formula.
-                     Track leaf p (pair A c) \to Track leaf q (pair c B) \to
-                     \exists r. Track leaf r (pair A B).
- intros 1; elim p names 0; clear p;
- [ intros. clear H1.
-   lapply linear track_inv_lref to H. decompose.
-   lapply insert_inv_leaf_2 to H. decompose
- | intros.
-   lapply linear track_inv_parx to H. subst. autobatch.
- | intros.
-   lapply linear track_inv_impw to H1.
-   decompose. subst.
-   lapply linear H to H4, H2. decompose. autobatch
- | intros 3. elim q; clear q;
-   [ clear H H1.
-     lapply linear track_inv_lref to H2. decompose.
-     lapply insert_inv_leaf_2 to H. decompose
-   | lapply linear track_inv_parx to H2. subst. autobatch
-   | clear H H1.
-     lapply linear track_inv_impi to H2.
-     lapply linear track_inv_impw to H3.
-     decompose. subst. autobatch
-   | clear H H1 H2.
-     lapply linear track_inv_impi to H3.
-     decompose. subst
-   | clear H H1.
-     lapply linear track_inv_impi to H2.
-     lapply linear track_inv_impe to H3.
-     decompose. subst. autobatch
-   ]
- | intros 3. elim q; clear q;
-   [ clear H H1.
-     lapply linear track_inv_lref to H2. decompose.
-     lapply insert_inv_leaf_2 to H. decompose 
-   | clear H.
-     lapply linear track_inv_parx to H2.
-     subst. autobatch
-   | clear H H1.
-     lapply linear track_inv_impe to H2.
-     lapply linear track_inv_impw to H3.
-     decompose. subst. autobatch
-   | clear H H1 H2.
-     lapply linear track_inv_impi to H3. decompose. subst
-   | clear H H1.
-     lapply linear track_inv_impe to H2.
-     lapply linear track_inv_impe to H3.
-     decompose. subst.
-     lapply linear track_inv_lleaf_impl to H5. decompose; subst;
-     [ clear H4 H6.
-       lapply linear insert_inv_leaf_1 to H3. decompose. subst.
-       lapply linear insert_inv_abst_2 to H2. decompose. subst
-     | lapply insert_conf to H3, H4. clear H4. decompose.
-       lapply linear track_weak to H6, H4. decompose.
-       lapply linear track_comp to H2, H, H1. decompose. autobatch
-     ]
-   ]
- ].
-qed.    
-(*   
-   | lapply linear track_inv_impi to H4.
-     lapply linear track_inv_impe to H5.
-     decompose. subst.
-     destruct H4. destruct H5. clear H4 H5. subst.
-     unfold linj in Hcut. unfold rinj in Hcut3. destruct Hcut. destruct Hcut3. clear Hcut Hcut3. subst.
-     destruct Hcut2. clear Hcut2. subst.
+theorem track_trans: \forall P,p,q,A,B. \forall c:Formula.
+                     Track P p (pair A c) \to Track P q (pair c B) \to
+                     \exists r. Track P r (pair A B).
+ intros; autobatch.
+qed.
 *)