(* Properties with atomic atomic arity assignment on terms ******************)
lemma cpmre_total_aaa (h) (n) (A) (G) (L):
- â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ T1 â\81\9d A â\86\92 â\88\83T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[h,n] ð\9d\90\8dâ¦\83T2â¦\84.
+ â\88\80T1. â\9d¨G,Lâ\9d© â\8a¢ T1 â\81\9d A â\86\92 â\88\83T2. â\9d¨G,Lâ\9d© â\8a¢ T1 â\9e¡*ð\9d\90\8d[h,n] T2.
#h #n #A #G #L #T1 #HT1
elim (cpms_total_aaa h … n … HT1) #T0 #HT10
elim (cprre_total_csx h G L T0)
[ #T2 /3 width=4 by cpms_cprre_trans, ex_intro/
-| /4 width=4 by cpms_fwd_cpxs, aaa_csx, csx_cpxs_trans/
+| /4 width=5 by cpms_fwd_cpxs, aaa_csx, csx_cpxs_trans/
]
qed-.