From fd8a6717a2610c00dec920ee5f33b00b14ef1fbf Mon Sep 17 00:00:00 2001 From: Robbert Krebbers <mail@robbertkrebbers.nl> Date: Wed, 15 Mar 2017 21:49:58 +0100 Subject: [PATCH] Prove empty_subseteq. --- theories/collections.v | 2 ++ 1 file changed, 2 insertions(+) diff --git a/theories/collections.v b/theories/collections.v index 1ef62bb2..8354bafd 100644 --- a/theories/collections.v +++ b/theories/collections.v @@ -373,6 +373,8 @@ Section simple_collection. Proof. set_solver. Qed. (** Empty *) + Lemma empty_subseteq X : ∅ ⊆ X. + Proof. set_solver. Qed. Lemma elem_of_equiv_empty X : X ≡ ∅ ↔ ∀ x, x ∉ X. Proof. set_solver. Qed. Lemma elem_of_empty x : x ∈ ∅ ↔ False. -- GitLab