(* Properties with sort-irrelevant equivalence for closures *****************)
-lemma feqx_cpx_trans: â\88\80h,G1,G2,L1,L2,T1,T. â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L2,Tâ¦\84 →
- â\88\80T2. â¦\83G2,L2â¦\84 ⊢ T ⬈[h] T2 →
- â\88\83â\88\83T0. â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88[h] T0 & â¦\83G1,L1,T0â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84.
+lemma feqx_cpx_trans: â\88\80h,G1,G2,L1,L2,T1,T. â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L2,Tâ\9d« →
+ â\88\80T2. â\9dªG2,L2â\9d« ⊢ T ⬈[h] T2 →
+ â\88\83â\88\83T0. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88[h] T0 & â\9dªG1,L1,T0â\9d« â\89\9b â\9dªG2,L2,T2â\9d«.
#h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
elim (reqx_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02