(* Properties with unbound context-sensitive parallel rt-transition *********)
(* Basic_2A1: uses: fpbs_cpx_trans_neq *)
-lemma fpbs_cpx_tneqx_trans: â\88\80h,G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84 →
- â\88\80U2. â¦\83G2,L2â¦\84 ⊢ T2 ⬈[h] U2 → (T2 ≛ U2 → ⊥) →
- â\88\83â\88\83U1. â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 â\86\92 â\8a¥ & â¦\83G1,L1,U1â¦\84 â\89¥[h] â¦\83G2,L2,U2â¦\84.
+lemma fpbs_cpx_tneqx_trans: â\88\80h,G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â\89¥[h] â\9dªG2,L2,T2â\9d« →
+ â\88\80U2. â\9dªG2,L2â\9d« ⊢ T2 ⬈[h] U2 → (T2 ≛ U2 → ⊥) →
+ â\88\83â\88\83U1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88[h] U1 & T1 â\89\9b U1 â\86\92 â\8a¥ & â\9dªG1,L1,U1â\9d« â\89¥[h] â\9dªG2,L2,U2â\9d«.
#h #G1 #G2 #L1 #L2 #T1 #T2 #H #U2 #HTU2 #HnTU2
elim (fpbs_inv_star … H) -H #G0 #L0 #L3 #T0 #T3 #HT10 #H10 #HL03 #H32
elim (feqx_cpx_trans … H32 … HTU2) -HTU2 #T4 #HT34 #H42