Theorem ordfr 2969

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 2967	. 2 |- (Ord A -> E We A)
2		wefr 2945	. 2 |- (E We A -> E Fr A)
3	1, 2	syl 10	1 |- (Ord A -> E Fr A)

Syntax hints:   -> wi 3  Ecep 2836   Fr wfr 2921   We wwe 2922  Ord word 2953

This theorem is referenced by:  ordirr 2972  tz7.7 2979  onfr 2992

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225  df-we 2940  df-ord 2957

Copyright terms: Public domain