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4 (* ||A|| A project by Andrea Asperti *)
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15 include "basic_2/rt_transition/cpg_lsubr.ma".
16 include "basic_2/rt_transition/cpx.ma".
18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
20 (* Properties with restricted refinement for local environments *************)
22 lemma lsubr_cpx_trans (h) (G): lsub_trans … (cpx h G) lsubr.
23 #h #G #L1 #T1 #T2 * /3 width=4 by lsubr_cpg_trans, ex_intro/
26 lemma cpx_bind_unit (h) (G): ∀L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
27 ∀J,T1,T2. ⦃G, L.ⓤ{J}⦄ ⊢ T1 ⬈[h] T2 →
28 ∀p,I. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈[h] ⓑ{p,I}V2.T2.
29 /4 width=4 by lsubr_cpx_trans, cpx_bind, lsubr_unit/ qed.