From f13fcc91aac71f0c8fad557a7450170b264f15f7 Mon Sep 17 00:00:00 2001
From: Robbert Krebbers
Date: Tue, 17 Nov 2015 18:24:37 +0100
Subject: [PATCH] Inhabited now lives in Type rather than Prop.
---
theories/base.v | 2 +-
theories/finite.v | 2 +-
2 files changed, 2 insertions(+), 2 deletions(-)
diff --git a/theories/base.v b/theories/base.v
index a94511d..36af265 100644
--- a/theories/base.v
+++ b/theories/base.v
@@ -129,7 +129,7 @@ Arguments decide _ {_}.
(** ** Inhabited types *)
(** This type class collects types that are inhabited. *)
-Class Inhabited (A : Type) : Prop := populate { _ : A }.
+Class Inhabited (A : Type) : Type := populate { inhabitant : A }.
Arguments populate {_} _.
Instance unit_inhabited: Inhabited unit := populate ().
diff --git a/theories/finite.v b/theories/finite.v
index 7824001..fed9dd3 100644
--- a/theories/finite.v
+++ b/theories/finite.v
@@ -69,7 +69,7 @@ Proof.
Qed.
Lemma finite_inhabited A `{finA: Finite A} : 0 < card A → Inhabited A.
Proof.
- unfold card. destruct finA as [[|x ?] ??]; simpl; auto with lia.
+ unfold card; intros. destruct finA as [[|x ?] ??]; simpl in *; [exfalso;lia|].
constructor; exact x.
Qed.
Lemma finite_injective_contains `{finA: Finite A} `{finB: Finite B} (f: A → B)
--
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