HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Theorem ordfr 3673
Description: Epsilon is well-founded on an ordinal class.
Assertion
Ref Expression
ordfr |- (Ord A -> _E Fr A)

Proof of Theorem ordfr
StepHypRef Expression
1 ordwe 3671 . 2 |- (Ord A -> _E We A)
2 wefr 3648 . 2 |- ( _E We A -> _E Fr A)
31, 2syl 12 1 |- (Ord A -> _E Fr A)
Colors of variables: wff set class
Syntax hints:   -> wi 3   _E cep 3581   Fr wfr 3623   We wwe 3624  Ord word 3656
This theorem is referenced by:  ordirr 3676  tz7.7 3684  onfr 3702  bnj580 13301  bnj1053 13396  bnj1071 13402
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 164  df-an 242  df-we 3644  df-ord 3660
Copyright terms: Public domain