1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "static_2/static/feqx.ma".
16 include "basic_2/rt_transition/rpx_reqx.ma".
17 include "basic_2/rt_transition/fpbq.ma".
19 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
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/