We define proof tree tracks and normal proof tree tracks separately

[helm.git] / matita / contribs / LOGIC / NTrack / order.ma

diff --git a/matita/contribs/LOGIC/NTrack/order.ma b/matita/contribs/LOGIC/NTrack/order.ma
index de6ebaf719c0c3ca9b1eaad9dc1b755b26624b76..2b41ad83e72a7eb43fdc639f962fee587de6edcf 100644 (file)
--- a/matita/contribs/LOGIC/NTrack/order.ma
+++ b/matita/contribs/LOGIC/NTrack/order.ma
@@ -12,14 +12,15 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/LOGIC/Track/order".
+set "baseuri" "cic:/matita/LOGIC/NTrack/order".
 
-include "Track/props.ma".
+include "Track/order.ma".
+include "NTrack/props.ma".
 
 (* Order properties *********************************************************)
 
-theorem track_refl: \forall P. \forall c:Formula. \exists r. 
-                    Track P r (pair c c).
+theorem ntrack_refl: \forall P. \forall c:Formula. \exists r. 
+                     NTrack P r (pair c c).
  intros; elim c; clear c;
  [ autobatch
  | lapply (insert_total (pair f f1) zero P); [2:autobatch];
@@ -27,77 +28,11 @@ theorem track_refl: \forall P. \forall c:Formula. \exists r.
  ].
 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_impr to H2;
-     lapply linear track_inv_impw to H3;
-     decompose; subst; autobatch
-   | clear H H1 H2;
-     lapply linear track_inv_impr to H3;
-     decompose; subst
-   | clear H2 H3;
-     lapply linear track_inv_impr to H4;
-     lapply linear track_inv_impi to H5;
-     decompose; subst;
-     lapply linear H to H5, H8; decompose;
-     
-     
-     lapply linear insert_inv_leaf_1 to H4; decompose; subst;
-     apply ex_intro; [| ]
-     
-     autobatch depth = 100 width = 40 size = 100
-   ]
- | 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 ntrack_trans: \forall p,q,A,B. \forall c:Formula.
+                      NTrack leaf p (pair A c) \to NTrack leaf q (pair c B) \to
+                      \exists r. NTrack leaf r (pair A B).
+ intros;
+ lapply linear ntrack_track to H as H0;
+ lapply linear ntrack_track to H1 as H;
+ lapply linear track_trans to H0, H as H1; decompose;
 *)