Theorem onordi

Description: An ordinal number is an ordinal class. (Contributed by NM, 11-Jun-1994)

	Ref	Expression
Hypothesis	on.1	$$⊢A\in \mathrm{On}$$
Assertion	onordi	$$⊢\mathrm{Ord}A$$

Proof

Step	Hyp	Ref	Expression
1		on.1	$$⊢A\in \mathrm{On}$$
2		eloni	$$⊢A\in \mathrm{On}\to \mathrm{Ord}A$$
3	1 2	ax-mp	$$⊢\mathrm{Ord}A$$