This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

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	$⊢ Ord A \to E Fr A$

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