Metamath Proof Explorer


Theorem elon

Description: An ordinal number is an ordinal set. (Contributed by NM, 5-Jun-1994)

Ref Expression
Hypothesis elon.1 A V
Assertion elon A On Ord A

Proof

Step Hyp Ref Expression
1 elon.1 A V
2 elong A V A On Ord A
3 1 2 ax-mp A On Ord A