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(* as published by the Free Software Foundation; either version 2.1   *)
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(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* 02110-1301 USA                                                     *)
(** %\subsection*{ support :  distinct\_facts.v }%*)
Set Implicit Arguments.
Unset Strict Implicit.
Require Export omit_facts.
Require Export seq_set_seq.
Require Export distinct.

Lemma distinct_cons :
forall (A : Setoid) (n : Nat) (v : seq n A),
distinct v ->
forall a : A, (forall i : fin n, ~ a =' v i in _) -> distinct (a;; v).