X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv.ma;h=4db46f940e869d38441aabd560487f600b884555;hb=6b4da5fa47d474dcf2f203ec7f5ed36938739c9b;hp=398ef6783217fc4019e73a3502cc076048509685;hpb=1083ac3b1acac5f1ac1fa40a9a417dd9d268dced;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv.ma
index 398ef6783..4db46f940 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv.ma
@@ -13,6 +13,8 @@
 (**************************************************************************)
 
 include "basic_2/notation/relations/exclaim_5.ma".
+include "basic_2/notation/relations/exclaim_4.ma".
+include "basic_2/notation/relations/exclaimstar_4.ma".
 include "basic_2/rt_computation/cpms.ma".
 
 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
@@ -33,6 +35,12 @@ inductive cnv (a) (h): relation3 genv lenv term ≝
 interpretation "context-sensitive native validity (term)"
    'Exclaim a h G L T = (cnv a h G L T).
 
+interpretation "context-sensitive restricted native validity (term)"
+   'Exclaim h G L T = (cnv true h G L T).
+
+interpretation "context-sensitive extended native validity (term)"
+   'ExclaimStar h G L T = (cnv false h G L T).
+
 (* Basic inversion lemmas ***************************************************)
 
 fact cnv_inv_zero_aux (a) (h): ∀G,L,X. ⦃G, L⦄ ⊢ X ![a, h] → X = #0 →
@@ -139,3 +147,26 @@ lemma cnv_inv_cast (a) (h): ∀G,L,U,T. ⦃G, L⦄ ⊢ ⓝU.T ![a, h] →
                             ∃∃U0. ⦃G, L⦄ ⊢ U ![a, h] & ⦃G, L⦄ ⊢ T ![a, h] &
                                   ⦃G, L⦄ ⊢ U ➡*[h] U0 & ⦃G, L⦄ ⊢ T ➡*[1, h] U0.
 /2 width=3 by cnv_inv_cast_aux/ qed-.
+
+(* Basic forward lemmas *****************************************************)
+
+lemma cnv_fwd_flat (a) (h) (I) (G) (L):
+                   ∀V,T. ⦃G, L⦄ ⊢ ⓕ{I}V.T ![a,h] →
+                   ∧∧ ⦃G, L⦄ ⊢ V ![a,h] & ⦃G, L⦄ ⊢ T ![a,h].
+#a #h * #G #L #V #T #H
+[ elim (cnv_inv_appl … H) #n #p #W #U #_ #HV #HT #_ #_
+| elim (cnv_inv_cast … H) #U #HV #HT #_ #_
+] -H /2 width=1 by conj/
+qed-.
+
+lemma cnv_fwd_pair_sn (a) (h) (I) (G) (L):
+      ∀V,T. ⦃G,L⦄ ⊢ ②{I}V.T ![a,h] → ⦃G,L⦄ ⊢ V ![a,h].
+#a #h * [ #p ] #I #G #L #V #T #H
+[ elim (cnv_inv_bind … H) -H #HV #_
+| elim (cnv_fwd_flat … H) -H #HV #_
+] //
+qed-.
+
+(* Basic_2A1: removed theorems 3:
+              shnv_cast shnv_inv_cast snv_shnv_cast
+*)