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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/csx_lpx.ma".
16 include "basic_2/rt_computation/lpxs_lpx.ma".
18 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
20 (* Properties with unbound parallel rt-computation on all entries ***********)
22 lemma csx_lpxs_conf: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 →
23 ⦃G, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
24 #h #o #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
25 /3 by lpxs_step_dx, csx_lpx_conf/