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14
15 include "static_2/static/feqx.ma".
16 include "basic_2/rt_transition/rpx_reqx.ma".
17 include "basic_2/rt_transition/fpbq.ma".
18
19 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
20
21 (* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
22 lemma fpbq_feqx (G1) (G2):
23       ∀L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
24 #G1 #G2 #L1 #L2 #T1 #T2 #H
25 elim (feqx_inv_gen_sn … H) #H #HL12 #HT12 destruct
26 /3 width=3 by fpbq_rcpx, reqx_rpx_trans, teqx_cpx_trans/
27 qed.