Theorem onordi

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

	Ref	Expression
Hypothesis	on.1	⊢ 𝐴 ∈ On
Assertion	onordi	⊢ Ord 𝐴

Proof

Step	Hyp	Ref	Expression
1		on.1	⊢ 𝐴 ∈ On
2		eloni	⊢ ( 𝐴 ∈ On → Ord 𝐴 )
3	1 2	ax-mp	⊢ Ord 𝐴