(* *)
(**************************************************************************)
-include "basic_2/rt_computation/cpme_aaa.ma".
-include "basic_2/rt_computation/cpre_cpre.ma".
+include "basic_2/rt_computation/cpmre_aaa.ma".
+include "basic_2/rt_computation/cprre_cprre.ma".
include "basic_2/rt_equivalence/cpes.ma".
-include "basic_2/dynamic/cnv_cpme.ma".
+include "basic_2/dynamic/cnv_cpmre.ma".
(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
(* Properties with t-bound rt-equivalence for terms *************************)
lemma cnv_cpes_dec (h) (a) (n1) (n2) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ T1 ![h,a] â\86\92 â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T2 ![h,a] →
- Decidable â\80¦ (â¦\83G,Lâ¦\84 ⊢ T1 ⬌*[h,n1,n2] T2).
+ â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ T1 ![h,a] â\86\92 â\88\80T2. â\9dªG,Lâ\9d« ⊢ T2 ![h,a] →
+ Decidable â\80¦ (â\9dªG,Lâ\9d« ⊢ T1 ⬌*[h,n1,n2] T2).
#h #a #n1 #n2 #G #L #T1 #HT1 #T2 #HT2
elim (cnv_fwd_aaa … HT1) #A1 #HA1
elim (cnv_fwd_aaa … HT2) #A2 #HA2
-elim (cpme_total_aaa h n1 … HA1) -HA1 #U1 #HTU1
-elim (cpme_total_aaa h n2 … HA2) -HA2 #U2 #HTU2
+elim (cpmre_total_aaa h n1 … HA1) -HA1 #U1 #HTU1
+elim (cpmre_total_aaa h n2 … HA2) -HA2 #U2 #HTU2
elim (eq_term_dec U1 U2) [ #H destruct | #HnU12 ]
[ cases HTU1 -HTU1 #HTU1 #_
cases HTU2 -HTU2 #HTU2 #_
/3 width=3 by cpms_div, or_introl/
| @or_intror * #T0 #HT10 #HT20
- lapply (cnv_cpme_cpms_conf … HT1 … HT10 … HTU1) -T1 #H1
- lapply (cnv_cpme_cpms_conf … HT2 … HT20 … HTU2) -T2 #H2
- /3 width=6 by cpre_mono/
+ lapply (cnv_cpmre_cpms_conf … HT1 … HT10 … HTU1) -T1 #H1
+ lapply (cnv_cpmre_cpms_conf … HT2 … HT20 … HTU2) -T2 #H2
+ /3 width=6 by cprre_mono/
]
qed-.