Theorem eloni

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

	Ref	Expression
Assertion	eloni	⊢ ( 𝐴 ∈ On → Ord 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		elong	⊢ ( 𝐴 ∈ On → ( 𝐴 ∈ On ↔ Ord 𝐴 ) )
2	1	ibi	⊢ ( 𝐴 ∈ On → Ord 𝐴 )