partial update update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lfpxs_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_fqup.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_fqup.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/i_static/tc_lfxs_fqup.ma".
-include "basic_2/rt_computation/lfpxs.ma".
-
-(* UNBOUND PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ******)
-
-(* Advanced properties ******************************************************)
-
-lemma lfpxs_refl: ∀h,G,T. reflexive … (lfpxs h G T).
-/2 width=1 by tc_lfxs_refl/ qed.
-
-(* Advanced forward lemmas **************************************************)
-
-lemma lfpxs_fwd_bind_dx: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ⓑ{p,I}V.T] L2 →
-                         ⦃G, L1.ⓑ{I}V⦄ ⊢ ⬈*[h, T] L2.ⓑ{I}V.
-/2 width=2 by tc_lfxs_fwd_bind_dx/ qed-.
-
-lemma lfpxs_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ⓑ{p,I}V.T] L2 →
-                              ⦃G, L1.ⓧ⦄ ⊢ ⬈*[h, T] L2.ⓧ.
-/2 width=4 by tc_lfxs_fwd_bind_dx_void/ qed-.
-
-(* Advanced eliminators *****************************************************)
-
-(* Basic_2A1: uses: lpxs_ind *)
-lemma lfpxs_ind_sn: ∀h,G,L1,T. ∀R:predicate lenv. R L1 →
-                    (∀L,L2. ⦃G, L1⦄ ⊢ ⬈*[h, T] L → ⦃G, L⦄ ⊢ ⬈[h, T] L2 → R L → R L2) →
-                    ∀L2. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 → R L2.
-#h #G @tc_lfxs_ind_sn // (**) (* auto fails *)
-qed-. 
-
-(* Basic_2A1: uses: lpxs_ind_dx *)
-lemma lfpxs_ind_dx: ∀h,G,L2,T. ∀R:predicate lenv. R L2 →
-                    (∀L1,L. ⦃G, L1⦄ ⊢ ⬈[h, T] L → ⦃G, L⦄ ⊢ ⬈*[h, T] L2 → R L → R L1) →
-                    ∀L1. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 → R L1.
-#h #G @tc_lfxs_ind_dx // (**) (* auto fails *)
-qed-.