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4 (* ||A|| A project by Andrea Asperti *)
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15 include "static_2/static/feqx.ma".
16 include "basic_2/rt_computation/lpxs_reqx.ma".
18 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
20 (* Properties with sort-irrelevant equivalence on closures ******************)
22 lemma feqx_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L0,T2❫ →
23 ∀L2. ❪G2,L0❫ ⊢⬈*[h] L2 →
24 ∃∃L. ❪G1,L1❫ ⊢⬈*[h] L & ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫.
25 #h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
26 elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
27 elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
28 /3 width=3 by feqx_intro_dx, ex2_intro/