(* This program is free software; you can redistribute it and/or      *)
(* modify it under the terms of the GNU Lesser General Public License *)
(* as published by the Free Software Foundation; either version 2.1   *)
(* of the License, or (at your option) any later version.             *)
(*                                                                    *)
(* This program is distributed in the hope that it will be useful,    *)
(* but WITHOUT ANY WARRANTY; without even the implied warranty of     *)
(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
(* You should have received a copy of the GNU Lesser General Public   *)
(* License along with this program; if not, write to the Free         *)
(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
(** %\subsection*{ support :  random\_facts.v }%*)
Set Implicit Arguments.
Unset Strict Implicit.
Section MAIN.
Require Export concat_facts.
Require Export sums2.
Require Export mult_by_scalars.
Require Export vecspace_Fn.

(* Specifications: *)
Lemma inject_map_embed_seq_set :
forall (A : Setoid) (B : part_set A) (n : Nat) (v : seq n B),
inject_subsets (seq_set v) =' seq_set (Map_embed v) in _.