Theorem ordfr

Description: Membership is well-founded on an ordinal class. In other words, an ordinal class is well-founded. (Contributed by NM, 22-Apr-1994)

	Ref	Expression
Assertion	ordfr	⊢ ( Ord 𝐴 → E Fr 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		ordwe	⊢ ( Ord 𝐴 → E We 𝐴 )
2		wefr	⊢ ( E We 𝐴 → E Fr 𝐴 )
3	1 2	syl	⊢ ( Ord 𝐴 → E Fr 𝐴 )