Metamath Proof Explorer


Theorem bnj1071

Description: Technical lemma for bnj69 . This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj1071.7
|- D = ( _om \ { (/) } )
Assertion bnj1071
|- ( n e. D -> _E Fr n )

Proof

Step Hyp Ref Expression
1 bnj1071.7
 |-  D = ( _om \ { (/) } )
2 1 bnj923
 |-  ( n e. D -> n e. _om )
3 nnord
 |-  ( n e. _om -> Ord n )
4 ordfr
 |-  ( Ord n -> _E Fr n )
5 2 3 4 3syl
 |-  ( n e. D -> _E Fr n )