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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/rt_computation/cpxs_reqg.ma".
16 include "basic_2/rt_computation/cpms_cpxs.ma".
18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
20 (* Properties with generic equivalence for local environments ***************)
22 lemma cpms_reqg_conf_sn (S) (h) (n) (G) (L1) (L2):
23 ∀T1,T2. ❪G,L1❫ ⊢ T1 ➡*[h,n] T2 →
24 L1 ≛[S,T1] L2 → L1 ≛[S,T2] L2.
25 /3 width=5 by cpms_fwd_cpxs, cpxs_reqg_conf_sn/ qed-.
27 lemma cpms_reqg_conf_dx (S) (h) (n) (G) (L1) (L2):
28 reflexive … S → symmetric … S →
29 ∀T1,T2. ❪G,L2❫ ⊢ T1 ➡*[h,n] T2 →
30 L1 ≛[S,T1] L2 → L1 ≛[S,T2] L2.
31 /3 width=5 by cpms_fwd_cpxs, cpxs_reqg_conf_dx/ qed-.