- new component for restricted computation (delta, zeta and tau only)

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / unfold / lcpss_lcpss.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/lcpss_lcpss.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/lcpss_lcpss.ma
deleted file mode 100644 (file)
index 5397ca3..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/lcpss_lcpss.ma
+++ /dev/null
@@ -1,55 +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/unfold/lcpss_cpss.ma".
-
-(* SN PARALLEL UNFOLD ON LOCAL ENVIRONMENTS *********************************)
-
-(* Main properties **********************************************************)
-
-theorem lcpss_conf: confluent … lcpss.
-#L0 @(f_ind … length … L0) -L0 #n #IH *
-[ #_ #X1 #H1 #X2 #H2 -n
-  >(lcpss_inv_atom1 … H1) -X1
-  >(lcpss_inv_atom1 … H2) -X2 /2 width=3/
-| #L0 #I #V0 #Hn #X1 #H1 #X2 #H2 destruct
-  elim (lcpss_inv_pair1 … H1) -H1 #L1 #V1 #HL01 #HV01 #H destruct
-  elim (lcpss_inv_pair1 … H2) -H2 #L2 #V2 #HL02 #HV02 #H destruct
-  elim (IH … HL01 … HL02) -IH normalize // #L #HL1 #HL2
-  elim (cpss_conf_lcpss … HV01 … HV02 … HL01 … HL02) -L0 -V0 /3 width=5/
-]
-qed-.
-
-theorem lcpss_trans: Transitive … lcpss.
-#L1 #L #H elim H -L1 -L //
-#I #L1 #L #V1 #V #HL1 #HV1 #IHL1 #X #H
-elim (lcpss_inv_pair1 … H) -H #L2 #V2 #HL2 #HV2 #H destruct
-lapply (cpss_trans_lcpss … HV1 … HL1 … HV2) -V -HL1 /3 width=1/
-qed-.
-
-(* Advanced forward lemmas **************************************************)
-
-lemma cpss_fwd_shift1: ∀L1,L,T1,T. L ⊢ L1 @@ T1 ▶* T →
-                       ∃∃L2,T2. L @@ L1 ⊢ ▶* L @@ L2 & L @@ L1 ⊢ T1 ▶* T2 &
-                                T = L2 @@ T2.
-#L1 @(lenv_ind_dx … L1) -L1
-[ #L #T1 #T #HT1
-  @ex3_2_intro [3: // |4,5: // |1,2: skip ] (**) (* /2 width=4/ does not work *)
-| #I #L1 #V1 #IH #L #T1 #T >shift_append_assoc #H <append_assoc
-  elim (cpss_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct
-  elim (IH … HT12) -IH -HT12 #L2 #T #HL12 #HT1 #H destruct
-  lapply (lcpss_trans … HL12 (L.ⓑ{I}V2@@L2) ?) -HL12 /3 width=1/ #HL12
-  @(ex3_2_intro … (⋆.ⓑ{I}V2@@L2)) [4: /2 width=3/ | skip ] <append_assoc // (**) (* explicit constructor *)
-]
-qed-.