X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv.ma;h=c3fa8e11bcb9000d92c76518604cf109360f305a;hb=5c92c318030a05c766b3f6070dbd23589cbdee04;hp=97c1feca2ff0271bf2794c13797b2a8ee76b5799;hpb=ede00573e3e4cb28df7ca9a5dae6228c2b432608;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 97c1feca2..c3fa8e11b 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 →
@@ -140,7 +148,17 @@ lemma cnv_inv_cast (a) (h): ∀G,L,U,T. ⦃G, L⦄ ⊢ ⓝU.T ![a, h] →
                                   ⦃G, L⦄ ⊢ U ➡*[h] U0 & ⦃G, L⦄ ⊢ T ➡*[1, h] U0.
 /2 width=3 by cnv_inv_cast_aux/ qed-.
 
-(* Basic_2A1: removed theorems 6:
-              snv_fwd_da snv_fwd_lstas snv_cast_scpes
+(* 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-.
+
+(* Basic_2A1: removed theorems 3:
               shnv_cast shnv_inv_cast snv_shnv_cast
 *)