(* NORMAL TERMS FOR T-UNUNBOUND WHD RT-TRANSITION ***************************)
-(* Advanced forward lemma with with simple terms ****************************)
-(*
-lemma cnuw_fwd_appl_simple (h) (G) (L):
- ∀V,T. ⦃G,L⦄ ⊢ ➡𝐍𝐖*[h] ⓐV.T → 𝐒⦃T⦄.
-#h #G #L #V #T #HT
-elim (simple_dec_ex T) [ // ] * #p #I #W #U #H destruct
-*)
(* Advanced properties with simple terms ************************************)
lemma cnuw_appl_simple (h) (G) (L):
- â\88\80V,T. ð\9d\90\92â¦\83Tâ¦\84 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â\9e¡ð\9d\90\8dð\9d\90\96*[h] T â\86\92 â¦\83G,Lâ¦\84 ⊢ ➡𝐍𝐖*[h] ⓐV.T.
+ â\88\80V,T. ð\9d\90\92â\9dªTâ\9d« â\86\92 â\9dªG,Lâ\9d« â\8a¢ â\9e¡ð\9d\90\8dð\9d\90\96*[h] T â\86\92 â\9dªG,Lâ\9d« ⊢ ➡𝐍𝐖*[h] ⓐV.T.
#h #G #L #V1 #T1 #H1T1 #H2T1 #n #X #H
elim (cpms_inv_appl_sn … H) -H *
[ #V2 #T2 #_ #HT12 #H destruct -H1T1