]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/grammar/term_vector.ma
- new syntax for let rec/corec with flavor specifier (tested on lambdadelta/ground_2/)
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / grammar / term_vector.ma
index 748e5cb638dd428ce1ddea3c4c7112da7813bee1..1dbfd8f64d9b1975adb4af083d1a09a51f04a4df 100644 (file)
 (**************************************************************************)
 
 include "ground_2/lib/list.ma".
-include "basic_2/notation/functions/snapplv_2.ma".
+include "basic_2/notation/functions/snapplvector_2.ma".
 include "basic_2/grammar/term_simple.ma".
 
 (* TERMS ********************************************************************)
 
-let rec applv Vs T on Vs ≝
+rec definition applv Vs T on Vs ≝
   match Vs with
   [ nil        ⇒ T
   | cons hd tl ⇒ ⓐhd. (applv tl T)
   ].
 
-interpretation "application o vevtor (term)"
-   'SnApplV Vs T = (applv Vs T).
+interpretation "application to vector (term)"
+   'SnApplVector Vs T = (applv Vs T).
+
+(* Basic properties *********************************************************)
+
+lemma applv_nil: ∀T. Ⓐ ◊.T = T.
+// qed.
+
+lemma applv_cons: ∀V,Vs,T. Ⓐ V@Vs.T = ⓐV.ⒶVs.T.
+// qed.
 
 (* properties concerning simple terms ***************************************)