(* Properties with strong normalization for unbound rt-transition for terms *)
lemma cpmuwe_total_csx (h) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 â\86\92 â\88\83â\88\83T2,n. â¦\83G,Lâ¦\84 ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
+ â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« â\86\92 â\88\83â\88\83T2,n. â\9dªG,Lâ\9d« ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
#h #G #L #T1 #H
@(csx_ind_cpxs … H) -T1 #T1 #_ #IHT1
elim (cnuw_dec_ex h G L T1)
qed-.
lemma R_cpmuwe_total_csx (h) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 → ∃n. R_cpmuwe h G L T1 n.
+ â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« → ∃n. R_cpmuwe h G L T1 n.
#h #G #L #T1 #H
elim (cpmuwe_total_csx … H) -H #T2 #n #HT12
/3 width=3 by ex_intro (* 2x *)/