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eliminators of arited terms based on "big tree" proper computation
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14
15 include "basic_2/static/aaa_fqus.ma".
16 include "basic_2/reduction/lpx_aaa.ma".
17 include "basic_2/reduction/fpb.ma".
18
19 (* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
20
21 (* Properties on atomic arity assignment for terms **************************)
22
23 lemma aaa_fpb_conf: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G2, L2, T2⦄ →
24                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
25 #h #g #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
26 /3 width=6 by aaa_lpx_conf, aaa_cpx_conf, aaa_fquq_conf, ex_intro/
27 qed-.