(* *)
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-include "basic_2/static/ffdeq_fqup.ma".
include "basic_2/rt_computation/cpxs.ma".
include "basic_2/rt_computation/fpbs_fqup.ma".
/3 width=5 by fpbs_strap2, fpbq_cpx/
qed-.
+lemma cpxs_tdeq_fpbs_trans: ∀h,o,G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
+ ∀T0. T ≛[h, o] T0 →
+ ∀G2,L2,T2. ⦃G1, L1, T0⦄ ≥[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄.
+/3 width=3 by cpxs_fpbs_trans, tdeq_fpbs_trans/ qed-.
+
lemma cpxs_tdeq_fpbs: ∀h,o,G,L,T1,T. ⦃G, L⦄ ⊢ T1 ⬈*[h] T →
∀T2. T ≛[h, o] T2 → ⦃G, L, T1⦄ ≥[h, o] ⦃G, L, T2⦄.
/4 width=3 by cpxs_fpbs_trans, ffdeq_fpbs, tdeq_ffdeq/ qed.