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renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_lpx.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.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/static/lfxs_lex.ma".
-include "basic_2/rt_transition/lfpx_fsle.ma".
-include "basic_2/rt_transition/lpx.ma".
-
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
-
-(* Properties with syntactic equivalence for referred local environments ****)
-
-lemma fleq_lfpx (h) (G): ∀L1,L2,T. L1 ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
-/2 width=1 by lfeq_fwd_lfxs/ qed.
-
-(* Properties with unbound parallel rt-transition for full local envs *******)
-
-lemma lpx_lfpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
-/2 width=1 by lfxs_lex/ qed.
-
-(* Inversion lemmas with unbound parallel rt-transition for full local envs *)
-
-lemma lfpx_inv_lpx_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 →
-                         ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h] L & L ≡[T] L2.
-/3 width=3 by lfpx_fsge_comp, lfxs_inv_lex_lfeq/ qed-.