X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLOGIC%2FNTrack%2Fprops.ma;h=3fdd5de618fa0f1aadcdfaa115abf5671a29621b;hb=e83cd27fc0694c34baf35c8b80d32317e51be707;hp=a7edc402f59409debe94428ef17dbed0b945665c;hpb=3784663281673f2549ab856d36441dfd24dcc593;p=helm.git diff --git a/helm/software/matita/contribs/LOGIC/NTrack/props.ma b/helm/software/matita/contribs/LOGIC/NTrack/props.ma index a7edc402f..3fdd5de61 100644 --- a/helm/software/matita/contribs/LOGIC/NTrack/props.ma +++ b/helm/software/matita/contribs/LOGIC/NTrack/props.ma @@ -12,24 +12,24 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/LOGIC/NTrack/props". + include "Insert/props.ma". include "Track/defs.ma". include "NTrack/inv.ma". - +(* theorem ntrack_weak: \forall R,p,P,Q,S,i. NTrack P p S \to Insert R i P Q \to \exists q. NTrack Q q S. intros 2; elim p; clear p; [ lapply linear ntrack_inv_lref to H as H0; decompose; lapply linear insert_trans to H, H1; decompose; autobatch - | lapply linear ntrack_inv_parx to H; subst; autobatch - | lapply linear ntrack_inv_impw to H1; decompose; subst; + | lapply linear ntrack_inv_parx to H; destruct; autobatch + | lapply linear ntrack_inv_impw to H1; decompose; destruct; lapply linear H to H4, H2; decompose; autobatch - | lapply linear ntrack_inv_impr to H1; decompose; subst; + | lapply linear ntrack_inv_impr to H1; decompose; destruct; lapply linear H to H4, H2; decompose; autobatch - | lapply linear ntrack_inv_impi to H3; decompose; subst; + | lapply linear ntrack_inv_impi to H3; decompose; destruct; lapply insert_conf to H4, H6; clear H6; decompose; lapply H to H9, H4; clear H H9; lapply linear H1 to H8, H4; lapply linear H2 to H7, H6; decompose; autobatch width = 4 @@ -42,13 +42,13 @@ theorem ntrack_comp: \forall R,q,p,P,Q,S,i. \exists r. NTrack P r S. intros 2; elim q; clear q; [ lapply linear ntrack_inv_lref to H1 as H0; decompose; - lapply linear insert_conf_rev_full to H1,H2; decompose; subst; autobatch - | lapply linear ntrack_inv_parx to H1; subst; autobatch - | lapply linear ntrack_inv_impw to H2; decompose; subst; + lapply linear insert_conf_rev_full to H1,H2; decompose; destruct; autobatch + | lapply linear ntrack_inv_parx to H1; destruct; autobatch + | lapply linear ntrack_inv_impw to H2; decompose; destruct; lapply linear H to H1, H5, H3; decompose; autobatch - | lapply linear ntrack_inv_impr to H2; decompose; subst; + | lapply linear ntrack_inv_impr to H2; decompose; destruct; lapply linear H to H1, H5, H3; decompose; autobatch - | lapply linear ntrack_inv_impi to H4; decompose; subst; + | lapply linear ntrack_inv_impi to H4; decompose; destruct; lapply insert_trans to H5, H7; clear H7; decompose; lapply ntrack_weak to H3, H6; decompose; lapply H to H3, H10, H5; clear H H10; lapply linear H1 to H3, H9, H5; @@ -60,3 +60,4 @@ qed. theorem ntrack_track: \forall R,p,P. NTrack P p R \to Track P p R. intros; elim H names 0; clear H P p R; intros; autobatch width = 4. qed. +*)