Library Coq.Logic.ProofIrrelevance


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.