-lemma cpxs_inv_cnx1: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T1⦄ →
- T1 ≛[h, o] T2.
-#h #o #G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
-/5 width=8 by cnx_tdeq_trans, tdeq_trans/
+lemma cpxs_inv_cnx1 (G) (L):
+ ∀T1,T2. ❨G,L❩ ⊢ T1 ⬈* T2 → ❨G,L❩ ⊢ ⬈𝐍 T1 → T1 ≅ T2.
+#G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
+/5 width=9 by cnx_teqx_trans, teqx_trans/