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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "static_2/static/feqx.ma".
16 include "basic_2/rt_transition/cpx_reqx.ma".
17 include "basic_2/rt_transition/rpx_reqx.ma".
19 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
21 (* Properties with sort-irrelevant equivalence for closures *****************)
25 ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
26 ∀T2. ❪G2,L2❫ ⊢ T ⬈ T2 →
27 ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈ T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
28 #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
29 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
30 lapply (reqx_cpx_trans … HL12 … HT2) #H
31 lapply (cpx_reqx_conf_dx … HT2 … HL12) -HT2 -HL12 #HL12
32 lapply (teqx_cpx_trans … HT1 … H) -T #HT12
33 /3 width=3 by feqx_intro_dx, ex2_intro/