milestone in basic_2, λδ-2A reconstructed

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/snv/snv_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/snv/snv_aaa.etc
deleted file mode 100644 (file)
index 73aa7cc..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc/snv/snv_aaa.etc
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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/da_aaa.ma".
-include "basic_2/computation/scpds_aaa.ma".
-include "basic_2/dynamic/snv.ma".
-
-(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
-
-(* Forward lemmas on atomic arity assignment for terms **********************)
-
-lemma snv_fwd_aaa: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] → ∃A. ⦃G, L⦄ ⊢ T ⁝ A.
-#h #o #G #L #T #H elim H -G -L -T
-[ /2 width=2 by aaa_sort, ex_intro/
-| #I #G #L #K #V #i #HLK #_ * /3 width=6 by aaa_lref, ex_intro/
-| #a * #G #L #V #T #_ #_ * #B #HV * #A #HA /3 width=2 by aaa_abbr, aaa_abst, ex_intro/
-| #a #G #L #V #W0 #T #U0 #d #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT
-  lapply (scpds_aaa_conf … HV … HVW0) -HVW0 #HW0
-  lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H
-  elim (aaa_inv_abst … H) -H #B0 #A #H1 #HU #H2 destruct
-  lapply (aaa_mono … H1 … HW0) -W0 #H destruct /3 width=4 by aaa_appl, ex_intro/
-| #G #L #U #T #U0 #_ #_ #HU0 #HTU0 * #B #HU * #A #HT
-  lapply (scpds_aaa_conf … HU … HU0) -HU0 #HU0
-  lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H
-  lapply (aaa_mono … H … HU0) -U0 #H destruct /3 width=3 by aaa_cast, ex_intro/
-]
-qed-.
-
-(* Advanced forward lemmas **************************************************)
-
-lemma snv_fwd_da: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] → ∃d. ⦃G, L⦄ ⊢ T ▪[h, o] d.
-#h #o #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_da/
-qed-.
-
-lemma snv_fwd_lstas: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] →
-                     ∀d. ∃U. ⦃G, L⦄ ⊢ T •*[h, d] U.
-#h #o #G #L #T #H #d elim (snv_fwd_aaa … H) -H
-#A #HT elim (aaa_lstas h … HT d) -HT /2 width=2 by ex_intro/
-qed-.