Theorem ordfr 2963

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 2961	. 2 |- (Ord A -> E We A)
2		wefr 2939	. 2 |- (E We A -> E Fr A)
3	1, 2	syl 10	1 |- (Ord A -> E Fr A)

Syntax hints:   -> wi 3  Ecep 2830   Fr wfr 2915   We wwe 2916  Ord word 2947

This theorem is referenced by:  ordirr 2966  tz7.7 2973  onfr 2986

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 2934  df-ord 2951

Copyright terms: Public domain