update in basic_2

+ main result on acle proved

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_acle.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_acle.ma
new file mode 100644 (file)
index 0000000..4a4a015
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_acle.ma
@@ -0,0 +1,42 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/syntax/acle.ma".
+include "basic_2/dynamic/cnv_aaa.ma".
+
+(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
+
+(* Properties with preorder for applicability domains ***********************)
+
+lemma cnv_acle_trans (h) (a1) (a2):
+      a1 ⊆ a2 → ∀G,L,T. ⦃G,L⦄ ⊢ T ![h,a1] → ⦃G,L⦄ ⊢ T ![h,a2].
+#h #a1 #a2 #Ha12 #G #L #T #H elim H -G -L -T
+[ /1 width=1 by cnv_sort/
+| /3 width=1 by cnv_zero/
+| /3 width=1 by cnv_lref/
+| /3 width=1 by cnv_bind/
+| #n1 #p #G #L #V #W #T #U #Hn1 #_ #_ #HVW #HTU #IHV #IHT
+  elim (Ha12 … Hn1) -a1 #n2 #Hn2 #Hn12
+  /3 width=11 by cnv_appl_ge/
+| /3 width=3 by cnv_cast/
+]
+qed-.
+
+lemma cnv_acle_omega (h) (a):
+      ∀G,L,T. ⦃G,L⦄ ⊢ T ![h,a] → ⦃G,L⦄ ⊢ T ![h,𝛚].
+/3 width=3 by cnv_acle_trans, acle_omega/ qed-.
+
+lemma cnv_acle_one (h) (a) (n):
+      ∀G,L,T. ⦃G,L⦄ ⊢ T ![h,𝟏] → ad a n → ⦃G,L⦄ ⊢ T ![h,a].
+/3 width=3 by cnv_acle_trans, acle_one/ qed-.

diff --git a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
index e719304bfa322f3fdaab9c9a5c43676e208a27a0..4176396a0b38f03f87019622dedc351336d00146 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
@@ -25,7 +25,7 @@ table {
         ]
         [ { "context-sensitive native validity" * } {
              [ [ "restricted refinement for lenvs" ] "lsubv ( ? ⊢ ? ⫃![?,?] ? )" "lsubv_drops" + "lsubv_lsubr" + "lsubv_lsuba" + "lsubv_cpms" + "lsubv_cpcs" + "lsubv_cnv" + "lsubv_lsubv" * ]
-             [ [ "for terms" ] "cnv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" + "cnv_cpm_trans" + "cnv_cpm_conf" + "cnv_cpm_tdeq" + "cnv_cpm_tdeq_trans" + "cnv_cpm_tdeq_conf" + "cnv_cpms_tdeq" + "cnv_cpms_conf" + "cnv_cpms_tdeq_conf" + "cnv_cpme" + "cnv_cpmuwe" + "cnv_cpmuwe_cpme" + "cnv_eval" + "cnv_cpce" + "cnv_cpes" + "cnv_cpcs" + "cnv_preserve_sub" + "cnv_preserve" + "cnv_preserve_cpes" + "cnv_preserve_cpcs" * ]
+             [ [ "for terms" ] "cnv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" "cnv_acle" + "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" + "cnv_cpm_trans" + "cnv_cpm_conf" + "cnv_cpm_tdeq" + "cnv_cpm_tdeq_trans" + "cnv_cpm_tdeq_conf" + "cnv_cpms_tdeq" + "cnv_cpms_conf" + "cnv_cpms_tdeq_conf" + "cnv_cpme" + "cnv_cpmuwe" + "cnv_cpmuwe_cpme" + "cnv_eval" + "cnv_cpce" + "cnv_cpes" + "cnv_cpcs" + "cnv_preserve_sub" + "cnv_preserve" + "cnv_preserve_cpes" + "cnv_preserve_cpcs" * ]
           }
         ]
      }