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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_transition/cpg_lsubr.ma".
16 include "basic_2/rt_transition/cpm.ma".
18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
20 (* Properties with restricted refinement for local environments *************)
22 (* Basic_2A1: includes: lsubr_cpr_trans *)
23 lemma lsubr_cpm_trans (n) (h) (G): lsub_trans … (λL. cpm h G L n) lsubr.
24 #n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
27 lemma cpm_bind_unit (n) (h) (G): ∀L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
28 ∀J,T1,T2. ⦃G, L.ⓤ{J}⦄ ⊢ T1 ➡[n, h] T2 →
29 ∀p,I. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ➡[n, h] ⓑ{p,I}V2.T2.
30 /4 width=4 by lsubr_cpm_trans, cpm_bind, lsubr_unit/ qed.