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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 *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/rt_transition/lfpx_aaa.ma".
16 include "basic_2/rt_transition/lfpr_lfpx.ma".
18 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
20 (* Properties with atomic arity assignment for terms ************************)
22 lemma cpr_aaa_conf: ∀h,G,L. Conf3 … (aaa G L) (cpm h G L 0).
23 /3 width=5 by cpx_aaa_conf, cpm_fwd_cpx/ qed-.
25 (* Basic_2A1: uses: lpr_aaa_conf *)
26 lemma lfpr_aaa_conf: ∀h,G,T. Conf3 … (λL. aaa G L T) (lfpr h G T).
27 /3 width=4 by lfpx_aaa_conf, lfpr_fwd_lfpx/ qed-.