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	$$⊢\mathrm{Ord}A\to \mathrm{E}\mathrm{Fr}A$$

Proof

Step	Hyp	Ref	Expression
1		ordwe	$$⊢\mathrm{Ord}A\to \mathrm{E}\mathrm{We}A$$
2		wefr	$$⊢\mathrm{E}\mathrm{We}A\to \mathrm{E}\mathrm{Fr}A$$
3	1 2	syl	$$⊢\mathrm{Ord}A\to \mathrm{E}\mathrm{Fr}A$$