milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / snv / snv_da_lpr.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/snv/snv_da_lpr.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/snv/snv_da_lpr.etc
deleted file mode 100644 (file)
index 119a402..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/snv/snv_da_lpr.etc
+++ /dev/null
@@ -1,93 +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/static/lsubd_da.ma".
-include "basic_2/computation/cpds_cpds.ma".
-include "basic_2/dynamic/snv_aaa.ma".
-include "basic_2/dynamic/snv_cpcs.ma".
-
-(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
-
-(* Properties on degree assignment for terms ********************************)
-
-fact da_cpr_lpr_aux: ∀h,g,G0,L0,T0.
-                     (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_snv_cpx_lpx h g G1 L1 T1) →
-                     (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_da_cpr_lpr h g G1 L1 T1) →
-                     ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_da_cpr_lpr h g G1 L1 T1.
-#h #g #G0 #L0 #T0 #IH2 #IH1 #G1 #L1 * * [|||| * ]
-[ #k #_ #_ #_ #_ #l #H2 #X3 #H3 #L2 #_ -IH2 -IH1
-  lapply (da_inv_sort … H2) -H2
-  lapply (cpr_inv_sort1 … H3) -H3 #H destruct /2 width=1 by da_sort/
-| #i #HG0 #HL0 #HT0 #H1 #l #H2 #X3 #H3 #L2 #HL12 destruct -IH2
-  elim (snv_inv_lref … H1) -H1 #I0 #K0 #X0 #H #HX0
-  elim (da_inv_lref … H2) -H2 * #K1 [ #V1 | #W1 #l1 ] #HLK1 [ #HV1 | #HW1 #H ] destruct
-  lapply (ldrop_mono … H … HLK1) -H #H destruct
-  elim (cpr_inv_lref1 … H3) -H3
-  [1,3: #H destruct
-    lapply (fqup_lref … G1 … HLK1)
-    elim (lpr_ldrop_conf … HLK1 … HL12) -HLK1 -HL12 #X #H #HLK2
-    elim (lpr_inv_pair1 … H) -H #K2 #V2 #HK12 #HV12 #H destruct
-    /4 width=10 by da_ldef, da_ldec, fqup_fpbg/
-  |2,4: * #K0 #V0 #W0 #H #HVW0 #HW0
-    lapply (ldrop_mono … H … HLK1) -H #H destruct
-    lapply (fqup_lref … G1 … HLK1)
-    elim (lpr_ldrop_conf … HLK1 … HL12) -HLK1 -HL12 #X #H #HLK2
-    elim (lpr_inv_pair1 … H) -H #K2 #V2 #HK12 #_ #H destruct
-    lapply (ldrop_fwd_drop2 … HLK2) -V2
-    /4 width=8 by da_lift, fqup_fpbg/
-  ]
-| #p #_ #_ #HT0 #H1 destruct -IH2 -IH1
-  elim (snv_inv_gref … H1)
-| #a #I #V1 #T1 #HG0 #HL0 #HT0 #H1 #l #H2 #X3 #H3 #L2 #HL12 destruct -IH2
-  elim (snv_inv_bind … H1) -H1 #_ #HT1
-  lapply (da_inv_bind … H2) -H2
-  elim (cpr_inv_bind1 … H3) -H3 *
-  [ #V2 #T2 #HV12 #HT12 #H destruct
-    /4 width=9 by da_bind, fqup_fpbg, lpr_pair/
-  | #T2 #HT12 #HT2 #H1 #H2 destruct
-    /4 width=11 by da_inv_lift, fqup_fpbg, lpr_pair, ldrop_drop/
-  ]
-| #V1 #T1 #HG0 #HL0 #HT0 #H1 #l #H2 #X3 #H3 #L2 #HL12 destruct
-  elim (snv_inv_appl … H1) -H1 #b0 #W1 #W0 #T0 #l0 #HV1 #HT1 #Hl0 #HVW1 #HW10 #HT10
-  lapply (da_inv_flat … H2) -H2 #Hl
-  elim (cpr_inv_appl1 … H3) -H3 *
-  [ #V2 #T2 #HV12 #HT12 #H destruct -IH2 /4 width=7 by da_flat, fqup_fpbg/
-  | #b #V2 #W #W2 #U1 #U2 #HV12 #HW2 #HU12 #H1 #H2 destruct
-    elim (snv_inv_bind … HT1) -HT1 #HW #HU1
-    lapply (da_inv_bind … Hl) -Hl #Hl
-    elim (cpds_inv_abst1 … HT10) -HT10 #W3 #U3 #HW3 #_ #H destruct -U3
-    lapply (cprs_div … HW3 … HW10) -W3 #HWW1
-    lapply (da_sta_conf … HVW1 … Hl0) <minus_plus_m_m #H
-    elim (snv_fwd_da … HW) #l1 #Hl1
-    lapply (snv_lstas_aux … IH2 … HV1 … 1 … Hl0 W1 ?) /2 width=2 by fqup_fpbg, sta_lstas/ #HW1
-    lapply (da_cpcs_aux … IH2 IH1 … Hl1 … H … HWW1) -H
-    /3 width=5 by fpbg_fpbs_trans, fqup_fpbg, sta_fpbs/ #H destruct
-    lapply (IH1 … HV1 … Hl0 … HV12 … HL12) -HV1 -Hl0 -HV12 [ /2 by fqup_fpbg/ ] #Hl0
-    lapply (IH1 … Hl1 … HW2 … HL12) -Hl1 // /2 width=1 by fqup_fpbg/ -HW
-    lapply (IH1 … HU1 … Hl … HU12 (L2.ⓛW2) ?) -IH1 -HU1 -Hl -HU12 [1,2: /2 by fqup_fpbg, lpr_pair/ ] -HL12 -HW2
-    /4 width=6 by da_bind, lsubd_da_trans, lsubd_abbr/
-  | #b #V #V2 #W #W2 #U1 #U2 #HV1 #HV2 #HW2 #HU12 #H1 #H2 destruct -IH2 -V -W0 -T0 -l0 -HV1 -HVW1
-    elim (snv_inv_bind … HT1) -HT1 #_
-    lapply (da_inv_bind … Hl) -Hl
-    /5 width=9 by da_bind, da_flat, fqup_fpbg, lpr_pair/
-  ]
-| #W1 #T1 #HG0 #HL0 #HT0 #H1 #l #H2 #X3 #H3 #L2 #HL12 destruct -IH2
-  elim (snv_inv_cast … H1) -H1 #U1 #l0 #HW1 #HT1 #Hl0 #HTU1 #HUW1
-  lapply (da_inv_flat … H2) -H2 #Hl
-  elim (cpr_inv_cast1 … H3) -H3
-  [ * #W2 #T2 #HW12 #HT12 #H destruct /4 width=7 by da_flat, fqup_fpbg/
-  | /3 width=7 by fqup_fpbg/
-  ]
-]
-qed-.