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(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

(** This file axiomatizes proof-irrelevance and derives some consequences *)

Require Import ProofIrrelevanceFacts.

Axiom proof_irrelevance : forall (P:Prop) (p1 p2:P), p1 = p2.

Module PI. Definition proof_irrelevance := proof_irrelevance. End PI.

Module ProofIrrelevanceTheory := ProofIrrelevanceTheory(PI).
Export ProofIrrelevanceTheory.