(* Main properties **********************************************************)
-theorem lsuba_trans: â\88\80G,L1,L. G â\8a¢ L1 â\81\9dâ«\83 L â\86\92 â\88\80L2. G â\8a¢ L â\81\9dâ«\83 L2 â\86\92 G â\8a¢ L1 â\81\9dâ«\83 L2.
+theorem lsuba_trans: â\88\80G,L1,L. G â\8a¢ L1 â«\83â\81\9d L â\86\92 â\88\80L2. G â\8a¢ L â«\83â\81\9d L2 â\86\92 G â\8a¢ L1 â«\83â\81\9d L2.
#G #L1 #L #H elim H -L1 -L
[ #X #H >(lsuba_inv_atom1 … H) -H //
| #I #L1 #L #Y #HL1 #IHL1 #X #H
elim (lsuba_inv_pair1 … H) -H * #L2
[ #HL2 #H destruct /3 width=1/
| #W #V #A #HV #HW #HL2 #H1 #H2 #H3 destruct
- /3 width=3 by lsuba_abbr, lsuba_aaa_trans/
+ /3 width=3 by lsuba_beta, lsuba_aaa_trans/
]
| #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #X #H
elim (lsuba_inv_pair1 … H) -H * #L2
- [ #HL2 #H destruct /3 width=5 by lsuba_abbr, lsuba_aaa_conf/
+ [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
| #W0 #V0 #A0 #_ #_ #_ #H destruct
]
]