]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_length.ma
renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_length.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_length.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_length.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_length.ma".
-include "basic_2/rt_transition/lfpx.ma".
-
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
-
-(* Forward lemmas with length for local environments ************************)
-
-lemma lfpx_fwd_length: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → |L1| = |L2|.
-/2 width=3 by lfxs_fwd_length/ qed-.
-
-(* Inversion lemmas with length for local environments **********************)
-
-lemma lfpx_inv_zero_length: ∀h,G,Y1,Y2. ⦃G, Y1⦄ ⊢ ⬈[h, #0] Y2 →
-                            ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
-                             | ∃∃I,L1,L2,V1,V2. ⦃G, L1⦄ ⊢ ⬈[h, V1] L2 &
-                                                ⦃G, L1⦄ ⊢ V1 ⬈[h] V2 &
-                                                Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2
-                             |∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ{I} & Y2 = L2.ⓤ{I}.
-/2 width=1 by lfxs_inv_zero_length/ qed-.