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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 *)
10 (* \ / This file is distributed under the terms of the *)
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15 include "basic_2/rt_transition/fpb_lpx.ma".
16 include "basic_2/rt_computation/csx_fqus.ma".
17 include "basic_2/rt_computation/csx_reqg.ma".
18 include "basic_2/rt_computation/csx_lpx.ma".
20 (* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
22 (* Properties with parallel rst-transition for closures *********************)
24 (* Basic_2A1: was: csx_fpb_conf *)
26 ∀G1,L1,T1. ❨G1,L1❩ ⊢ ⬈*𝐒 T1 →
27 ∀G2,L2,T2. ❨G1,L1,T1❩ ≽ ❨G2,L2,T2❩ → ❨G2,L2❩ ⊢ ⬈*𝐒 T2.
28 #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H
29 elim (fpb_inv_req … H) -H #L0 #L #T #H1 #HT2 #HL0 #HL02
30 lapply (cpx_reqg_conf … HL0 … HT2) -HT2 // #HT2
31 /5 width=8 by csx_fquq_conf, csx_cpx_trans, csx_lpx_conf, csx_reqg_conf/