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(* as published by the Free Software Foundation; either version 2.1   *)
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(*                                                                    *)
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(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
(** %\subsection*{ support :  seq\_set\_facts.v }%*)
Set Implicit Arguments.
Unset Strict Implicit.
Require Export concat_facts.
From Algebra Require Export Union.
From Algebra Require Export Singleton.
Require Export Classical_Prop.
Section MAIN.
Variable A : Setoid.
Variable n : Nat.

(* Specifications: *)
Lemma seq_set_conseq_union :
forall (v : seq n A) (a : A),
seq_set (a;; v) =' union (seq_set v) (single a) in _.