]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fqup.ma
a0f5b490d72f0c9a3f650d10b7515fd16dcf9209
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpr_fqup.ma
1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "basic_2/static/lfxs_fqup.ma".
16 include "basic_2/rt_transition/lfpr.ma".
17
18 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
19
20 (* Advanced properties ******************************************************)
21
22 (* Note: lemma 250 *)
23 (* Basic_2A1: uses: lpr_refl *)
24 lemma lfpr_refl: ∀h,G,T. reflexive … (lfpr h G T).
25 /2 width=1 by lfxs_refl/ qed.
26
27 (* Basic_2A1: uses: lpr_pair *)
28 lemma lfpr_pair: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
29                  ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ➡[h, T] L.ⓑ{I}V2.
30 /2 width=1 by lfxs_pair/ qed.