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Metamath Proof Explorer

Theorem ss0

Description: Any subset of the empty set is empty. Theorem 5 of Suppes p. 23. (Contributed by NM, 13-Aug-1994)

		Ref	Expression
	Assertion	ss0	$⊢ A \subseteq \emptyset \to A = \emptyset$

Step	Hyp	Ref	Expression
1		ss0b	$⊢ A \subseteq \emptyset \leftrightarrow A = \emptyset$
2	1	biimpi	$⊢ A \subseteq \emptyset \to A = \emptyset$