- lfpxs based on tc_lfxs

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsx_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsx_lpxs.ma
deleted file mode 100644 (file)
index 2e6da2e..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsx_lpxs.ma
+++ /dev/null
@@ -1,62 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/computation/lpxs_lpxs.ma".
-include "basic_2/computation/lsx_alt.ma".
-
-(* SN EXTENDED STRONGLY NORMALIZING LOCAL ENVIRONMENTS **********************)
-
-(* Advanced properties ******************************************************)
-
-fact lsx_bind_lpxs_aux: ∀h,o,a,I,G,L1,V,l. G ⊢ ⬊*[h, o, V, l] L1 →
-                        ∀Y,T. G ⊢ ⬊*[h, o, T, ⫯l] Y →
-                        ∀L2. Y = L2.ⓑ{I}V → ⦃G, L1⦄ ⊢ ➡*[h, o] L2 →
-                        G ⊢ ⬊*[h, o, ⓑ{a,I}V.T, l] L2.
-#h #o #a #I #G #L1 #V #l #H @(lsx_ind_alt … H) -L1
-#L1 #HL1 #IHL1 #Y #T #H @(lsx_ind_alt … H) -Y
-#Y #HY #IHY #L2 #H #HL12 destruct @lsx_intro_alt
-#L0 #HL20 lapply (lpxs_trans … HL12 … HL20)
-#HL10 #H elim (nlleq_inv_bind … H) -H [ -HL1 -IHY | -HY -IHL1 ]
-[ #HnV elim (lleq_dec V L1 L2 l)
-  [ #HV @(IHL1 … L0) /3 width=5 by lsx_lpxs_trans, lpxs_pair, lleq_canc_sn/ (**) (* full auto too slow *)
-  | -HnV -HL10 /4 width=5 by lsx_lpxs_trans, lpxs_pair/
-  ]
-| /3 width=4 by lpxs_pair/
-]
-qed-.
-
-lemma lsx_bind: ∀h,o,a,I,G,L,V,l. G ⊢ ⬊*[h, o, V, l] L →
-                ∀T. G ⊢ ⬊*[h, o, T, ⫯l] L.ⓑ{I}V →
-                G ⊢ ⬊*[h, o, ⓑ{a,I}V.T, l] L.
-/2 width=3 by lsx_bind_lpxs_aux/ qed.
-
-lemma lsx_flat_lpxs: ∀h,o,I,G,L1,V,l. G ⊢ ⬊*[h, o, V, l] L1 →
-                     ∀L2,T. G ⊢ ⬊*[h, o, T, l] L2 → ⦃G, L1⦄ ⊢ ➡*[h, o] L2 →
-                     G ⊢ ⬊*[h, o, ⓕ{I}V.T, l] L2.
-#h #o #I #G #L1 #V #l #H @(lsx_ind_alt … H) -L1
-#L1 #HL1 #IHL1 #L2 #T #H @(lsx_ind_alt … H) -L2
-#L2 #HL2 #IHL2 #HL12 @lsx_intro_alt
-#L0 #HL20 lapply (lpxs_trans … HL12 … HL20)
-#HL10 #H elim (nlleq_inv_flat … H) -H [ -HL1 -IHL2 | -HL2 -IHL1 ]
-[ #HnV elim (lleq_dec V L1 L2 l)
-  [ #HV @(IHL1 … L0) /3 width=3 by lsx_lpxs_trans, lleq_canc_sn/ (**) (* full auto too slow: 47s *)
-  | -HnV -HL10 /3 width=4 by lsx_lpxs_trans/
-  ]
-| /3 width=1 by/
-]
-qed-.
-
-lemma lsx_flat: ∀h,o,I,G,L,V,l. G ⊢ ⬊*[h, o, V, l] L →
-                ∀T. G ⊢ ⬊*[h, o, T, l] L → G ⊢ ⬊*[h, o, ⓕ{I}V.T, l] L.
-/2 width=3 by lsx_flat_lpxs/ qed.