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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/rt_transition/lfpx.ma".
16 include "basic_2/rt_transition/cpm_cpx.ma".
17 include "basic_2/rt_transition/lfpr.ma".
19 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
21 (* Fwd. lemmas with unc. rt-transition for local env.s on referred entries **)
23 (* Basic_2A1: uses: lpr_lpx *)
24 lemma lfpr_fwd_lfpx: ∀h,T,G,L1,L2. ⦃G, L1⦄ ⊢ ➡[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
25 /3 width=3 by cpm_fwd_cpx, lfxs_co/ qed-.