(* Properties with atomic arity assignment for terms ************************)
lemma fpbs_aaa_conf:
- â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d« →
- â\88\80A1. â\9dªG1,L1â\9d« â\8a¢ T1 â\81\9d A1 â\86\92 â\88\83A2. â\9dªG2,L2â\9d« ⊢ T2 ⁝ A2.
+ â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© →
+ â\88\80A1. â\9d¨G1,L1â\9d© â\8a¢ T1 â\81\9d A1 â\86\92 â\88\83A2. â\9d¨G2,L2â\9d© ⊢ T2 ⁝ A2.
#G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
[ /2 width=2 by ex_intro/
| #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A