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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/cpxs_reqx.ma".
18 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
20 (* Properties with sort-irrelevant equivalence for closures *****************)
23 lemma feqx_cpxs_trans:
24 ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
25 ∀T2. ❪G2,L2❫ ⊢ T ⬈* T2 →
26 ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈* T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
27 #G1 #G2 #L1 #L2 #T1 #T #H #T2 #H2T2
28 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
29 lapply (reqx_cpxs_trans … H2T2 … HL12) #H1T2
30 lapply (cpxs_reqx_conf_dx … H2T2 … HL12) -HL12 #HL12
31 lapply (teqx_cpxs_trans … HT1 … H1T2) -T #HT12
32 /3 width=3 by feqx_intro_dx, ex2_intro/