(* Properties with atomic atomic arity assignment on terms ******************)
lemma cpmre_total_aaa (h) (n) (A) (G) (L):
- ∀T1. ❪G,L❫ ⊢ T1 ⁝ A → ∃T2. ❪G,L❫ ⊢ T1 ➡*[h,n] 𝐍❪T2❫.
+ ∀T1. ❪G,L❫ ⊢ T1 ⁝ A → ∃T2. ❪G,L❫ ⊢ T1 ➡*𝐍[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)