+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "ground_2/lib/list.ma".
-include "basic_2/notation/functions/snapplvector_2.ma".
-include "basic_2/syntax/term_simple.ma".
-
-(* TERMS ********************************************************************)
-
-rec definition applv Vs T on Vs ≝
- match Vs with
- [ nil ⇒ T
- | cons hd tl ⇒ ⓐhd. (applv tl 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 with simple terms *********************************************)
-
-lemma applv_simple: ∀T,Vs. 𝐒⦃T⦄ → 𝐒⦃ⒶVs.T⦄.
-#T * //
-qed.