From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Wed, 25 Oct 2017 19:44:02 +0000 (+0000)
Subject: - exclusion binder in local environments
X-Git-Tag: make_still_working~421
X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=commitdiff_plain;h=a0462cc68401e561a041f1e567dec40cd522cab8

- exclusion binder in local environments
  portions updated of: cpxs, lfpxs
---

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
index 99a6e3670..172dcc3fb 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma
@@ -30,9 +30,9 @@ lemma cpxs_delta: ∀h,I,G,K,V1,V2. ⦃G, K⦄ ⊢ V1 ⬈*[h] V2 →
 ]
 qed.
 
-lemma cpxs_lref: ∀h,I,G,K,V,T,i. ⦃G, K⦄ ⊢ #i ⬈*[h] T →
-                 ∀U. ⬆*[1] T ≡ U → ⦃G, K.ⓑ{I}V⦄ ⊢ #⫯i ⬈*[h] U.
-#h #I #G #K #V #T #i #H @(cpxs_ind … H) -T
+lemma cpxs_lref: ∀h,I,G,K,T,i. ⦃G, K⦄ ⊢ #i ⬈*[h] T →
+                 ∀U. ⬆*[1] T ≡ U → ⦃G, K.ⓘ{I}⦄ ⊢ #⫯i ⬈*[h] U.
+#h #I #G #K #T #i #H @(cpxs_ind … H) -T
 [ /3 width=3 by cpx_cpxs, cpx_lref/
 | #T0 #T #_ #HT2 #IH #U #HTU
   elim (lifts_total T0 (𝐔❴1❵))
@@ -71,15 +71,15 @@ qed-.
 
 lemma cpxs_inv_lref1: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #⫯i ⬈*[h] T2 →
                       T2 = #(⫯i) ∨
-                      ∃∃I,K,V,T. ⦃G, K⦄ ⊢ #i ⬈*[h] T & ⬆*[1] T ≡ T2 & L = K.ⓑ{I}V.
+                      ∃∃I,K,T. ⦃G, K⦄ ⊢ #i ⬈*[h] T & ⬆*[1] T ≡ T2 & L = K.ⓘ{I}.
 #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/
 #T #T2 #_ #HT2 *
 [ #H destruct
   elim (cpx_inv_lref1 … HT2) -HT2 /2 width=1 by or_introl/
-  * /4 width=7 by cpx_cpxs, ex3_4_intro, or_intror/
-| * #I #K #V1 #T1 #Hi #HT1 #H destruct
+  * /4 width=6 by cpx_cpxs, ex3_3_intro, or_intror/
+| * #I #K #T1 #Hi #HT1 #H destruct
   elim (cpx_inv_lifts_sn … HT2 (Ⓣ) … K … HT1) -T
-  /4 width=7 by cpxs_strap1, drops_refl, drops_drop, ex3_4_intro, or_intror/
+  /4 width=6 by cpxs_strap1, drops_refl, drops_drop, ex3_3_intro, or_intror/
 ]
 qed-.
 
@@ -103,17 +103,17 @@ qed-.
 (* Properties with generic relocation ***************************************)
 
 (* Basic_2A1: includes: cpxs_lift *)
-lemma cpxs_lifts_sn: ∀h,G. d_liftable2_sn (cpxs h G).
+lemma cpxs_lifts_sn: ∀h,G. d_liftable2_sn … lifts (cpxs h G).
 /3 width=10 by cpx_lifts_sn, cpxs_strap1, d2_liftable_sn_LTC/ qed-.
 
-lemma cpxs_lifts_bi: ∀h,G. d_liftable2_bi (cpxs h G).
-/3 width=9 by cpxs_lifts_sn, d_liftable2_sn_bi/ qed-.
+lemma cpxs_lifts_bi: ∀h,G. d_liftable2_bi … lifts (cpxs h G).
+/3 width=12 by cpxs_lifts_sn, d_liftable2_sn_bi, lifts_mono/ qed-.
 
 (* Inversion lemmas with generic relocation *********************************)
 
 (* Basic_2A1: includes: cpxs_inv_lift1 *)
-lemma cpxs_inv_lifts_sn: ∀h,G. d_deliftable2_sn (cpxs h G).
+lemma cpxs_inv_lifts_sn: ∀h,G. d_deliftable2_sn … lifts (cpxs h G).
 /3 width=6 by d2_deliftable_sn_LTC, cpx_inv_lifts_sn/ qed-.
 
-lemma cpxs_inv_lifts_bi: ∀h,G. d_deliftable2_bi (cpxs h G).
-/3 width=9 by cpxs_inv_lifts_sn, d_deliftable2_sn_bi/ qed-.
+lemma cpxs_inv_lifts_bi: ∀h,G. d_deliftable2_bi … lifts (cpxs h G).
+/3 width=12 by cpxs_inv_lifts_sn, d_deliftable2_sn_bi, lifts_inj/ qed-.
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
index 66196f726..73cee4537 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "basic_2/rt_transition/lfpx_fqup.ma".
-include "basic_2/rt_transition/lfpx_lfpx.ma".
+include "basic_2/rt_transition/lfpx_cpx.ma".
 include "basic_2/rt_computation/cpxs_drops.ma".
 include "basic_2/rt_computation/cpxs_cpxs.ma".
 
@@ -30,8 +30,8 @@ lemma lfpx_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (lfpx h G).
 | #I #G #L2 #V #V2 #W2 #_ #IH #HVW2 #Y1 #H
   elim (lfpx_inv_zero_pair_dx … H) -H #L1 #V1 #HL1 #HV1 #H destruct
   /5 width=3 by lfpx_cpx_conf, cpxs_delta, cpxs_strap2/
-| #I #G #L2 #V #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
-  elim (lfpx_inv_lref_pair_dx … H) -H #L1 #V1 #HL1 #HV1
+| #I2 #G #L2 #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
+  elim (lfpx_inv_lref_bind_dx … H) -H #I1 #L1 #HL1 #H destruct
   /4 width=3 by cpxs_lref, cpxs_strap2/
 | #p #I #G #L2 #V #V2 #T #T2 #_ #_ #IHV #IHT #L1 #H
   elim (lfpx_inv_bind … H) -H /3 width=1 by cpxs_bind/
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 c8a9f2774..561a9980b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
@@ -71,7 +71,6 @@ table {
         ]
      }
    ]
-(*
    class "sky"
    [ { "rt-computation" * } {
 (*
@@ -114,16 +113,17 @@ table {
              [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
              [ "cpxs_lreq" + "cpxs_lleq" + "cpxs_aaa" * ]
 *)
+(*
              [ "lfsx ( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "lfsx_fqup" + "lfsx_lfpxs" + "lfsx_lfsx" * ]
              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
              [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_lsubr" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
+*)             
              [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_drops" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_aaa" + "lfpxs_cpxs" + "lfpxs_lfpxs" * ]
              [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_lsubr" + "cpxs_aaa" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ] 
           }
         ]
      }
    ]
-*)
    class "cyan"
    [ { "rt-transition" * } {
         [ { "uncounted rst-transition" * } {