(* Properties with sort-irrelevant equivalence on closures ******************)
-lemma feqx_lpxs_trans (h): â\88\80G1,G2,L1,L0,T1,T2. â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L0,T2â¦\84 →
- â\88\80L2. â¦\83G2,L0â¦\84 ⊢⬈*[h] L2 →
- â\88\83â\88\83L. â¦\83G1,L1â¦\84 â\8a¢â¬\88*[h] L & â¦\83G1,L,T1â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84.
+lemma feqx_lpxs_trans (h): â\88\80G1,G2,L1,L0,T1,T2. â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L0,T2â\9d« →
+ â\88\80L2. â\9dªG2,L0â\9d« ⊢⬈*[h] L2 →
+ â\88\83â\88\83L. â\9dªG1,L1â\9d« â\8a¢â¬\88*[h] L & â\9dªG1,L,T1â\9d« â\89\9b â\9dªG2,L2,T2â\9d«.
#h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02