/3 width=5 by fpbs_strap2, fpbq_cpx/
qed-.
-lemma cpxs_tdeq_fpbs_trans: ∀h,G1,L1,T1,T. ⦃G1,L1⦄ ⊢ T1 ⬈*[h] T →
+lemma cpxs_teqx_fpbs_trans: ∀h,G1,L1,T1,T. ⦃G1,L1⦄ ⊢ T1 ⬈*[h] T →
∀T0. T ≛ T0 →
∀G2,L2,T2. ⦃G1,L1,T0⦄ ≥[h] ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
-/3 width=3 by cpxs_fpbs_trans, tdeq_fpbs_trans/ qed-.
+/3 width=3 by cpxs_fpbs_trans, teqx_fpbs_trans/ qed-.
-lemma cpxs_tdeq_fpbs: ∀h,G,L,T1,T. ⦃G,L⦄ ⊢ T1 ⬈*[h] T →
+lemma cpxs_teqx_fpbs: ∀h,G,L,T1,T. ⦃G,L⦄ ⊢ T1 ⬈*[h] T →
∀T2. T ≛ T2 → ⦃G,L,T1⦄ ≥[h] ⦃G,L,T2⦄.
-/4 width=3 by cpxs_fpbs_trans, fdeq_fpbs, tdeq_fdeq/ qed.
+/4 width=3 by cpxs_fpbs_trans, feqx_fpbs, teqx_feqx/ qed.
(* Properties with star-iterated structural successor for closures **********)