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update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpce.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce.ma
deleted file mode 100644 (file)
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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/rt_computation/cpmuwe_cpmuwe.ma".
-include "basic_2/rt_conversion/cpce_drops.ma".
-include "basic_2/dynamic/cnv_cpmuwe.ma".
-
-(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-
-(* Properties with context-sensitive parallel eta-conversion for terms ******)
-
-axiom cpce_total_cnv (h) (a) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∃T2. ⦃G,L⦄ ⊢ T1 ⬌η[h] T2.
-(*
-#h #a #G #L #T1 #HT1
-lapply (cnv_fwd_csx … HT1) #H
-generalize in match HT1; -HT1
-@(csx_ind_fpbg … H) -G -L -T1
-#G #L * *
-[ #s #_ #_ /2 width=2 by cpce_sort, ex_intro/
-| #i #H1i #IH #H2i
-  elim (drops_ldec_dec L i) [ * #K #W #HLK | -H1i -IH #HnX ]
-  [ lapply (cnv_inv_lref_pair … H2i … HLK) -H2i #H2W
-    lapply (csx_inv_lref_pair_drops … HLK H1i) -H1i #H1W
-    elim (cpmuwe_total_csx … H1W) -H1W #X #n #HWX
-    elim (abst_dec X) [ * | -IH ]
-    [ #p #V1 #U #H destruct
-      lapply (cpmuwe_fwd_cpms … HWX) -HWX #HWX
-      elim (IH G K V1) -IH
-      [ #V2 #HV12
-        elim (lifts_total V2 (𝐔❴↑i❵)) #W2 #HVW2
-        /3 width=12 by cpce_eta_drops, ex_intro/
-      | /3 width=6 by  cnv_cpms_trans, cnv_fwd_pair_sn/
-      | /4 width=6 by fqup_cpms_fwd_fpbg, fpbg_fqu_trans, fqup_lref/
-      ]
-    | #HnX
-      @(ex_intro … (#i))
-      @cpce_zero_drops #n0 #p #K0 #W0 #V0 #U0 #HLK0 #HWU0
-      lapply (drops_mono … HLK0 … HLK) -i -L #H destruct
-      lapply (cpmuwe_abst … HWU0) -HWU0 #HWU0
-      elim (cnv_cpmuwe_mono … H2W … HWU0 … HWX) #_ #H -a -n -n0 -W
-      elim (tweq_inv_abst_sn … H) -V0 -U0 #V0 #U0 #H destruct
-      /2 width=4 by/
-    ]
-  | /5 width=3 by cpce_zero_drops, ex1_2_intro, ex_intro/
-  ]
-| #l #_ #_ /2 width=2 by cpce_gref, ex_intro/
-| #p #I #V1 #T1 #_ #IH #H
-  elim (cnv_inv_bind … H) -H #HV1 #HT1
-  elim (IH … HV1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_pair_sn/ ] #V2 #HV12
-  elim (IH … HT1) [| /4 width=1 by fpb_fpbg, fpb_fqu, fqu_bind_dx/ ] #T2 #HT12
-  /3 width=2 by cpce_bind, ex_intro/
-| #I #V1 #T1 #_ #IH #H
-  elim (cnv_fwd_flat … H) -H #HV1 #HT1
-  elim (IH … HV1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_pair_sn/ ] #V2 #HV12
-  elim (IH … HT1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_flat_dx/ ] #T2 #HT12
-  /3 width=2 by cpce_flat, ex_intro/
-]
-qed-.
-*)