(* Properties about dx parallel unfold **************************************)
-lemma snv_ltpss_dx_tpss_conf: â\88\80h,g,L1,T1. â¦\83h, L1â¦\84 â\8a© T1 :[g] →
+lemma snv_ltpss_dx_tpss_conf: â\88\80h,g,L1,T1. â¦\83h, L1â¦\84 â\8a¢ T1 ¡[g] →
∀L2,d,e. L1 ▶* [d, e] L2 →
- â\88\80T2. L2 â\8a¢ T1 â\96¶* [d, e] T2 â\86\92 â¦\83h, L2â¦\84 â\8a© T2 :[g].
+ â\88\80T2. L2 â\8a¢ T1 â\96¶* [d, e] T2 â\86\92 â¦\83h, L2â¦\84 â\8a¢ T2 ¡[g].
#h #g #L1 #T1 #H elim H -L1 -T1
[ #L1 #k #L2 #d #e #_ #X #H
>(tpss_inv_sort1 … H) -X //
]
qed-.
-lemma snv_ltpss_dx_conf: â\88\80h,g,L1,T. â¦\83h, L1â¦\84 â\8a© T :[g] →
- â\88\80L2,d,e. L1 â\96¶* [d, e] L2 â\86\92 â¦\83h, L2â¦\84 â\8a© T :[g].
+lemma snv_ltpss_dx_conf: â\88\80h,g,L1,T. â¦\83h, L1â¦\84 â\8a¢ T ¡[g] →
+ â\88\80L2,d,e. L1 â\96¶* [d, e] L2 â\86\92 â¦\83h, L2â¦\84 â\8a¢ T ¡[g].
#h #g #L1 #T #HT #L2 #d #e #HL12
@(snv_ltpss_dx_tpss_conf … HT … HL12) //
qed-.
-lemma snv_tpss_conf: â\88\80h,g,L,T1. â¦\83h, Lâ¦\84 â\8a© T1 :[g] →
- â\88\80T2,d,e. L â\8a¢ T1 â\96¶* [d, e] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a© T2 :[g].
+lemma snv_tpss_conf: â\88\80h,g,L,T1. â¦\83h, Lâ¦\84 â\8a¢ T1 ¡[g] →
+ â\88\80T2,d,e. L â\8a¢ T1 â\96¶* [d, e] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a¢ T2 ¡[g].
#h #g #L #T1 #HT1 #T2 #d #e #HT12
@(snv_ltpss_dx_tpss_conf … HT1 … HT12) //
qed-.
-lemma snv_tps_conf: â\88\80h,g,L,T1. â¦\83h, Lâ¦\84 â\8a© T1 :[g] →
- â\88\80T2,d,e. L â\8a¢ T1 â\96¶ [d, e] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a© T2 :[g].
+lemma snv_tps_conf: â\88\80h,g,L,T1. â¦\83h, Lâ¦\84 â\8a¢ T1 ¡[g] →
+ â\88\80T2,d,e. L â\8a¢ T1 â\96¶ [d, e] T2 â\86\92 â¦\83h, Lâ¦\84 â\8a¢ T2 ¡[g].
#h #g #L #T1 #HT1 #T2 #d #e #HT12
@(snv_tpss_conf … HT1 T2) /2 width=3/
qed-.