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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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13 (**************************************************************************)
14
15 include "basic_2/rt_transition/cpg_lsubr.ma".
16 include "basic_2/rt_transition/cpx.ma".
17
18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
19
20 (* Properties with restricted refinement for local environments *************)
21
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/
24 qed-.
25
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.
30