property S2 of strongly normalizing terms proved!

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / computation / csn_vector.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_vector.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_vector.ma
index b4a087a1a7672141360864248d609e9f9f68efec..7dab76e2307c7e6a16d1592ee5b4ba6f897720a2 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_vector.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_vector.ma
@@ -26,6 +26,13 @@ interpretation
    "context-sensitive strong normalization (term vector)"
    'SN L Ts = (csnv L Ts).
 
+(* Basic properties *********************************************************)
+
+lemma all_csnv: ∀L,Vs. all … (csn L) Vs → L ⊢ ⬇* Vs.
+#L #Vs elim Vs -Vs //
+#V #Vs #IHVs * /3 width=1/ 
+qed.
+
 (* Basic inversion lemmas ***************************************************)
 
 fact csnv_inv_cons_aux: ∀L,Ts. L ⊢ ⬇* Ts → ∀U,Us. Ts = U :: Us →