X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLOGIC%2FTrack%2Fdefs.ma;h=e3779f8376676bcd3a1a6542cb06246d9ec3c9db;hb=dcef667a444aa0f189225855c1433d26b65fb8b7;hp=ef83e6706ce6807eba8d2f09bf3914027aa9e1b2;hpb=e0b576827e1d1dd243f304e68cda6b0c7cc21978;p=helm.git diff --git a/helm/software/matita/contribs/LOGIC/Track/defs.ma b/helm/software/matita/contribs/LOGIC/Track/defs.ma index ef83e6706..e3779f837 100644 --- a/helm/software/matita/contribs/LOGIC/Track/defs.ma +++ b/helm/software/matita/contribs/LOGIC/Track/defs.ma @@ -12,32 +12,30 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/LOGIC/Track/defs". + (* PROOF TREE TRACKS *) -include "datatypes/Proof.ma". include "Insert/defs.ma". inductive Track: Context \to Proof \to Sequent \to Prop \def - | track_proj: \forall P,Q,S,i. Insert S i P Q \to Track Q (lref i) S + | track_proj: \forall P,Q,p1,p2,S,i. + Insert p1 p2 S i P Q \to Track Q (lref i) S | track_posr: \forall P,h. - Track P (parx h) (pair (posr h) (posr h)) + Track P (prin h) (pair (posr h) (posr h)) | track_impw: \forall P,r,D,a,b. Track P r (pair lleaf D) \to Track P (impw r) (pair (impl a b) D) - | track_impi: \forall P,r. \forall a,b:Formula. + | track_impr: \forall P,r. \forall a,b:Formula. Track P r (pair a b) \to - Track P (impi r) (pair lleaf (impl a b)) - | track_impe: \forall P,Q,r,D,i. \forall a,b:Formula. - Track Q r (pair lleaf D) \to - Insert (pair a b) i P Q \to - Track P (impe r) (pair (impl a b) D) -(* - | track_impe: \forall P,p,q,r,A,B,D,a,b. - Track P p (pair A (rinj a)) \to - Track P q (pair (linj b) B) \to - Track (abst P (pair A B)) r (pair lleaf D) \to - Track P (impe p q r) (pair (linj (impl a b)) D) -*) + Track P (impr r) (pair lleaf (impl a b)) + | track_impi: \forall P,p,q,r,A,B,D. \forall a,b:Formula. + Track P p (pair A a) \to + Track P q (pair b B) \to + Track (abst P p q (pair A B)) r (pair lleaf D) \to + Track P (impi p q r) (pair (impl a b) D) + | track_scut: \forall P,p,q,A,B. \forall c:Formula. + Track P p (pair A c) \to + Track P q (pair c B) \to + Track P (scut p q) (pair A B) .