partial update update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs.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/notation/relations/predtysnstar_5.ma".
-include "basic_2/i_static/tc_lfxs.ma".
-include "basic_2/rt_transition/lfpx.ma".
-
-(* UNBOUND PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ******)
-
-definition lfpxs: ∀h. relation4 genv term lenv lenv ≝
-                  λh,G. tc_lfxs (cpx h G).
-
-interpretation
-   "unbound parallel rt-computation on referred entries (local environment)"
-   'PRedTySnStar h T G L1 L2 = (lfpxs h G T L1 L2).
-
-(* Basic properties *********************************************************)
-
-(* Basic_2A1: was just: lpx_lpxs *)
-lemma lfpx_lfpxs: ∀h,G,T,L1,L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
-/2 width=1 by inj/ qed.
-
-lemma lfpxs_step_dx: ∀h,G,T,L1,L,L2. ⦃G, L1⦄ ⊢ ⬈*[h, T] L → ⦃G, L⦄ ⊢ ⬈[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
-/2 width=3 by tc_lfxs_step_dx/ qed.
-
-lemma lfpxs_step_sn: ∀h,G,T,L1,L,L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L → ⦃G, L⦄ ⊢ ⬈*[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
-/2 width=3 by tc_lfxs_step_sn/ qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-(* Basic_2A1: uses: lpxs_inv_atom1 *)
-lemma lfpxs_inv_atom1: ∀h,I,G,L2. ⦃G, ⋆⦄ ⊢ ⬈*[h, ⓪{I}] L2 → L2 = ⋆.
-/2 width=3 by tc_lfxs_inv_atom_sn/ qed-.
-
-(* Basic_2A1: uses: lpxs_inv_atom2 *)
-lemma lfpxs_inv_atom2: ∀h,I,G,L1. ⦃G, L1⦄ ⊢ ⬈*[h, ⓪{I}] ⋆ → L1 = ⋆.
-/2 width=3 by tc_lfxs_inv_atom_dx/ qed-.
-
-(* Basic forward lemmas *****************************************************)
-
-lemma lfpxs_fwd_pair_sn: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ②{I}V.T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, V] L2.
-/2 width=3 by tc_lfxs_fwd_pair_sn/ qed-.
-
-lemma lfpxs_fwd_flat_dx: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈*[h, ⓕ{I}V.T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
-/2 width=3 by tc_lfxs_fwd_flat_dx/ qed-.