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15 include "static_2/static/feqg.ma".
16 include "basic_2/rt_computation/lpxs_reqg.ma".
18 (* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
20 (* Properties with generic equivalence on closures ***************************)
22 lemma feqg_lpxs_trans (S):
23 reflexive … S → symmetric … S →
24 ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛[S] ❪G2,L0,T2❫ →
26 ∃∃L. ❪G1,L1❫ ⊢⬈* L & ❪G1,L,T1❫ ≛[S] ❪G2,L2,T2❫.
27 #S #H1S #H2S #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
28 elim (feqg_inv_gen_dx … H1) -H1 // #HG #HL10 #HT12 destruct
29 elim (reqg_lpxs_trans … HL02 … HL10) -L0 // #L0 #HL10 #HL02
30 /3 width=3 by feqg_intro_dx, ex2_intro/