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 *)
13 (**************************************************************************)
15 include "static_2/static/aaa_fqus.ma".
16 include "static_2/static/aaa_feqx.ma".
17 include "basic_2/rt_transition/lpx_aaa.ma".
18 include "basic_2/rt_transition/fpbq.ma".
20 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
22 (* Properties with atomic arity assignment for terms ************************)
24 lemma fpbq_aaa_conf: ∀h,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽[h] ❪G2,L2,T2❫ →
25 ∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
26 #h #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
27 /3 width=8 by lpx_aaa_conf, cpx_aaa_conf, aaa_feqx_conf, aaa_fquq_conf, ex_intro/