(* Properties with r-equivalence ********************************************)
lemma cnv_cpcs_dec (h) (a) (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] T2).
+ â\88\80T1. â\9d¨G,Lâ\9d© â\8a¢ T1 ![h,a] â\86\92 â\88\80T2. â\9d¨G,Lâ\9d© ⊢ T2 ![h,a] →
+ Decidable â\80¦ (â\9d¨G,Lâ\9d© ⊢ T1 ⬌*[h] T2).
#h #a #G #L #T1 #HT1 #T2 #HT2
elim (cnv_fwd_aaa … HT1) -HT1 #A1 #HA1
elim (cnv_fwd_aaa … HT2) -HT2 #A2 #HA2