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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_computation/cpxs_lfpx.ma".
16 include "basic_2/rt_computation/csx_cpxs.ma".
18 (* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
20 (* Properties with unbound parallel rt-transition on referred entries *******)
22 lemma csx_lfpx_conf: ∀h,o,G,L1,T. ⦃G, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ →
23 ∀L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → ⦃G, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
24 #h #o #G #L1 #T #H @(csx_ind_cpxs … H) -T
25 /5 width=3 by csx_intro, lfpx_cpx_trans, lfpx_cpxs_conf/