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Commit 3103b7bf authored by Robbert Krebbers's avatar Robbert Krebbers
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Lemma for X ∪ Y ⊆ Z :left_right_arrow: X ⊆ Z ∧ Y ⊆ Z.

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theories/collections.v
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......@@ -338,6 +338,8 @@ Section simple_collection.
Proof. set_solver. Qed.
(** Union *)
Lemma union_subseteq X Y Z : X ∪ Y ⊆ Z ↔ X ⊆ Z ∧ Y ⊆ Z.
Proof. set_solver. Qed.
Lemma not_elem_of_union x X Y : x ∉ X ∪ Y ↔ x ∉ X ∧ x ∉ Y.
Proof. set_solver. Qed.
Lemma elem_of_union_l x X Y : x ∈ X → x ∈ X ∪ Y.
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