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Metamath Proof Explorer

Theorem eloni

Description: An ordinal number has the ordinal property. (Contributed by NM, 5-Jun-1994)

		Ref	Expression
	Assertion	eloni	$⊢ A \in On \to Ord A$

Step	Hyp	Ref	Expression
1		elong	$⊢ A \in On \to (A \in On \leftrightarrow Ord A)$
2	1	ibi	$⊢ A \in On \to Ord A$