(* Note: lemma 500 *)
(* Basic_2A1: was: cpx_lpx_aaa_conf *)
lemma cpx_aaa_conf_lpx (G) (L1):
- â\88\80T1,A. â\9dªG,L1â\9d« ⊢ T1 ⁝ A →
- â\88\80T2. â\9dªG,L1â\9d« ⊢ T1 ⬈ T2 →
- â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â¬\88 L2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ⁝ A.
+ â\88\80T1,A. â\9d¨G,L1â\9d© ⊢ T1 ⁝ A →
+ â\88\80T2. â\9d¨G,L1â\9d© ⊢ T1 ⬈ T2 →
+ â\88\80L2. â\9d¨G,L1â\9d© â\8a¢ â¬\88 L2 â\86\92 â\9d¨G,L2â\9d© ⊢ T2 ⁝ A.
#G #L1 #T1 #A #H elim H -G -L1 -T1 -A
[ #G #L1 #s1 #X #H
elim (cpx_inv_sort1 … H) -H #s2 #H destruct //