dama into the library

[helm.git] / helm / software / matita / library / dama / sequence.ma

diff --git a/helm/software/matita/library/dama/sequence.ma b/helm/software/matita/library/dama/sequence.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "nat/nat.ma".
+
+inductive sequence (O:Type) : Type ≝  
+ | mk_seq : (nat → O) → sequence O.
+
+definition fun_of_seq: ∀O:Type.sequence O → nat → O ≝ 
+  λO.λx:sequence O.match x with [ mk_seq f ⇒ f ].
+
+coercion cic:/matita/dama/sequence/fun_of_seq.con 1.
+
+notation < "hvbox((\lfloor term 19 p \rfloor) \sub ident i)" with precedence 90
+for @{ 'sequence (\lambda ${ident i} : $t . $p)}.
+
+notation > "hvbox((\lfloor term 19 p \rfloor) \sub ident i)" with precedence 90
+for @{ 'sequence (\lambda ${ident i} . $p)}.
+
+notation > "hvbox(\lfloor ident i, term 19 p \rfloor)" with precedence 90
+for @{ 'sequence (\lambda ${ident i} . $p)}.
+  
+notation "a \sub i" left associative with precedence 90 
+  for @{ 'sequence_appl $a $i }.
+
+interpretation "sequence" 'sequence \eta.x = (mk_seq _ x).
+interpretation "sequence element" 'sequence_appl s i = (fun_of_seq _ s i).