(**************************************************************)
(*   Copyright Dominique Larchey-Wendling [*]                 *)
(*                                                            *)
(*                             [*] Affiliation LORIA -- CNRS  *)
(**************************************************************)
(*      This file is distributed under the terms of the       *)
(*         CeCILL v2 FREE SOFTWARE LICENSE AGREEMENT          *)
(**************************************************************)
From Undecidability.Shared.Libs.DLW.Utils
fin_base.
From Undecidability.Shared.Libs.DLW.Vec
Set Implicit Arguments.
(* This files gathers all constructivelly valid choice principles *)
(* This is standart constructive strong choice, no finiteness assumptions here *)

Theorem constructive_choice X (T : X -> Type) (R : forall x, T x -> Prop) :
(forall x, sig (R x))
-> { f : forall x, T x | forall x, R x (f x) }.