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4 (* ||A|| A project by Andrea Asperti *)
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15 include "basic_2/computation/fpbs_fleq.ma".
16 include "basic_2/computation/fpbs_fpbs.ma".
17 include "basic_2/computation/fpbc.ma".
19 (* SINGLE-STEP "BIG TREE" PROPER PARALLEL COMPUTATION FOR CLOSURES **********)
21 (* Forward lemmas on "big tree" parallel computation for closures ***********)
23 lemma fpbc_fwd_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ →
24 ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
25 #h #g #G1 #G2 #L1 #L2 #T1 #T2 *
26 /3 width=5 by fpbu_fwd_fpbs, fpbs_trans, fleq_fpbs/