(* Properties about atomic arity assignment on terms ************************)
lemma cpxs_aaa_conf: ∀h,o,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
- â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡*[h, o] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
+ â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88*[h, o] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
#h #o #G #L #T1 #A #HT1 #T2 #HT12
@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/
qed-.
-lemma cprs_aaa_conf: â\88\80G,L,T1,A. â¦\83G, Lâ¦\84 â\8a¢ T1 â\81\9d A â\86\92 â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
+lemma cprs_aaa_conf: â\88\80G,L,T1,A. â¦\83G, Lâ¦\84 â\8a¢ T1 â\81\9d A â\86\92 â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
/3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.