matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_drops.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "static_2/static/rex_drops.ma".
  16 include "basic_2/rt_transition/cpx_drops.ma".
  17 include "basic_2/rt_transition/rpx.ma".
  18
  19 (* EXTENDED PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS **********)
  20
  21 (* Properties with generic slicing for local environments *******************)
  22
  23 lemma rpx_lifts_sn (G): f_dedropable_sn (cpx G).
  24 /3 width=6 by rex_liftable_dedropable_sn, cpx_lifts_sn/ qed-.
  25
  26 (* Inversion lemmas with generic slicing for local environments *************)
  27
  28 lemma rpx_inv_lifts_sn (G): f_dropable_sn (cpx G).
  29 /2 width=5 by rex_dropable_sn/ qed-.
  30
  31 lemma rpx_inv_lifts_dx (G): f_dropable_dx (cpx G).
  32 /2 width=5 by rex_dropable_dx/ qed-.
  33
  34 lemma rpx_inv_lifts_bi (G):
  35       ∀L1,L2,U. ❪G,L1❫ ⊢ ⬈[U] L2 → ∀b,f. 𝐔❪f❫ →
  36       ∀K1,K2. ⇩*[b,f] L1 ≘ K1 → ⇩*[b,f] L2 ≘ K2 →
  37       ∀T. ⇧*[f]T ≘ U → ❪G,K1❫ ⊢ ⬈[T] K2.
  38 /2 width=10 by rex_inv_lifts_bi/ qed-.