Theorem ordfr 2214

Description: Epsilon is well-founded on an ordinal class.

Assertion

Ref	Expression
ordfr	|- (Ord A -> E Fr A)

Proof of Theorem ordfr

Step	Hyp	Ref	Expression
1		ordwe 2212	. 2 |- (Ord A -> E We A)
2		wefr 2191	. 2 |- (E We A -> E Fr A)
3	1, 2	syl 12	1 |- (Ord A -> E Fr A)

Syntax hints:   -> wi 2  Ecep 2056   Fr wfr 2061   We wwe 2062  Ord word 2198

This theorem is referenced by:  ordeirr 2217  tz7.7 2224  onfr 2237

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

This theorem depends on definitions:  df-bi 128  df-an 198  df-we 2186  df-ord 2202

metamath.org