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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
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(*         *     GNU Lesser General Public License Version 2.1          *)
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This file axiomatizes proof-irrelevance and derives some consequences 
Require Import ProofIrrelevanceFacts.

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

Register proof_irrelevance as core.proof_irrelevance.

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

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