include "basic_2/static/da_aaa.ma".
include "basic_2/unfold/lstas_lift.ma".
include "basic_2/computation/csx_aaa.ma".
-include "basic_2/computation/cpds_aaa.ma".
+include "basic_2/computation/scpds_aaa.ma".
include "basic_2/dynamic/snv.ma".
(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
| #I #G #L #K #V #i #HLK #_ * /3 width=6 by aaa_lref, ex_intro/
| #a * #G #L #V #T #_ #_ * #B #HV * #A #HA /3 width=2 by aaa_abbr, aaa_abst, ex_intro/
| #a #G #L #V #W0 #T #U0 #l #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT
- lapply (cpds_aaa_conf … HV … HVW0) -HVW0 #HW0
- lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H
+ lapply (scpds_aaa_conf … HV … HVW0) -HVW0 #HW0
+ lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H
elim (aaa_inv_abst … H) -H #B0 #A #H1 #HU #H2 destruct
lapply (aaa_mono … H1 … HW0) -W0 #H destruct /3 width=4 by aaa_appl, ex_intro/
| #G #L #U #T #U0 #_ #_ #HU0 #HTU0 * #B #HU * #A #HT
lapply (cprs_aaa_conf … HU … HU0) -HU0 #HU0
- lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H
+ lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H
lapply (aaa_mono … H … HU0) -U0 #H destruct /3 width=3 by aaa_cast, ex_intro/
]
qed-.