(* main properties with evaluations for rt-transition on terms **************)
theorem cnv_dec (h) (a) (G) (L) (T): ac_props a →
- Decidable (â\9dªG,Lâ\9d« ⊢ T ![h,a]).
+ Decidable (â\9d¨G,Lâ\9d© ⊢ T ![h,a]).
#h #a #G #L #T #Ha
@(fqup_wf_ind_eq (Ⓣ) … G L T) -G -L -T #G0 #L0 #T0 #IH #G #L * * [|||| * ]
[ #s #HG #HL #HT destruct -Ha -IH
elim (cnv_inv_appl_cpes … H) -H #m0 #q #W0 #U0 #_ #_ #_ #_ #HTU0
lapply (cpmuwe_abst … HTU0) -HTU0 #HTU0
elim (cnv_cpmuwe_mono … HT … HTU0 … HX0) -T #_ #H
- elim (tweq_inv_abst_sn … H) -W0 -U0 #W0 #U0 #H destruct
+ elim (teqw_inv_abst_sn … H) -W0 -U0 #W0 #U0 #H destruct
/2 width=4 by/
]
(* Note: failed applicability *)