Metamath Proof Explorer


Theorem bnj95

Description: Technical lemma for bnj124 . 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 bnj95.1
|- F = { <. (/) , _pred ( x , A , R ) >. }
Assertion bnj95
|- F e. _V

Proof

Step Hyp Ref Expression
1 bnj95.1
 |-  F = { <. (/) , _pred ( x , A , R ) >. }
2 snex
 |-  { <. (/) , _pred ( x , A , R ) >. } e. _V
3 1 2 eqeltri
 |-  F e. _V