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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
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15 include "basic_2/rt_computation/cpxs_rdeq.ma".
16 include "basic_2/rt_computation/cpms_cpxs.ma".
18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
20 (* Properties with degree-based equivalence for local environments **********)
22 lemma cpms_rdeq_conf_sn (h) (n) (o) (G) (L1) (L2):
23 ∀T1,T2. ⦃G, L1⦄ ⊢ T1 ➡*[n,h] T2 →
24 L1 ≛[h,o,T1] L2 → L1 ≛[h,o,T2] L2.
25 /3 width=4 by cpms_fwd_cpxs, cpxs_rdeq_conf_sn/ qed-.
27 lemma cpms_rdeq_conf_dx (h) (n) (o) (G) (L1) (L2):
28 ∀T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[n,h] T2 →
29 L1 ≛[h,o,T1] L2 → L1 ≛[h,o,T2] L2.
30 /3 width=4 by cpms_fwd_cpxs, cpxs_rdeq_conf_dx/ qed-.