Theorem eloni

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

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

Proof

Step	Hyp	Ref	Expression
1		elong	$$⊢A\in \mathrm{On}\to \left(A\in \mathrm{On}\leftrightarrow \mathrm{Ord}A\right)$$
2	1	ibi	$$⊢A\in \mathrm{On}\to \mathrm{Ord}A$$