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1 (**************************************************************************)
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14
15 include "basic_2/reduction/fpbq_aaa.ma".
16 include "basic_2/computation/fpbs.ma".
17
18 (* "QRST" PARALLEL COMPUTATION FOR CLOSURES *********************************)
19
20 (* Properties on atomic arity assignment for terms **************************)
21
22 lemma fpbs_aaa_conf: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄ →
23                      ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
24 #h #g #G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2 /2 width=2 by ex_intro/
25 #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
26 /2 width=8 by fpbq_aaa_conf/
27 qed-.