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15 include "basic_2/rt_computation/cpms_cpxs.ma".
16 include "basic_2/rt_computation/lpxs.ma".
17 include "basic_2/rt_computation/lprs.ma".
19 (* PARALLEL R-COMPUTATION FOR FULL LOCAL ENVIRONMENTS ***********************)
21 (* Forward lemmas with unbound rt-computation for full local environments ***)
23 (* Basic_2A1: was: lprs_lpxs *)
24 (* Note: original proof uses lpr_fwd_lpx and monotonic_TC *)
25 lemma lprs_fwd_lpxs (h) (G) : ∀L1,L2. ⦃G, L1⦄ ⊢ ➡*[h] L2 → ⦃G, L1⦄ ⊢ ⬈*[h] L2.
26 /3 width=3 by cpms_fwd_cpxs, lex_co/ qed-.