From 50b9555da5c85410a735cbacc039b2cbf8a0df69 Mon Sep 17 00:00:00 2001
From: Ralf Jung <jung@mpi-sws.org>
Date: Mon, 19 Dec 2016 14:46:42 +0100
Subject: [PATCH] add decide_left, decide_right

---
 theories/decidable.v | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/theories/decidable.v b/theories/decidable.v
index 7607be84..4748a822 100644
--- a/theories/decidable.v
+++ b/theories/decidable.v
@@ -36,6 +36,11 @@ Lemma decide_iff {A} P Q `{Decision P, Decision Q} (x y : A) :
   (P ↔ Q) → (if decide P then x else y) = (if decide Q then x else y).
 Proof. intros [??]. destruct (decide P), (decide Q); tauto. Qed.
 
+Lemma decide_left`{Decision P, !ProofIrrel P} (HP : P) : decide P = left HP.
+Proof. destruct (decide P) as [?|?]; [|contradiction]. f_equal. apply proof_irrel. Qed.
+Lemma decide_right`{Decision P} `{!ProofIrrel (¬ P)} (HP : ¬ P) : decide P = right HP.
+Proof. destruct (decide P) as [?|?]; [contradiction|]. f_equal. apply proof_irrel. Qed.
+
 (** The tactic [destruct_decide] destructs a sumbool [dec]. If one of the
 components is double negated, it will try to remove the double negation. *)
 Tactic Notation "destruct_decide" constr(dec) "as" ident(H) :=
-- 
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