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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 ∈ V

Proof

Step Hyp Ref Expression
1 bnj95.1 ⊢ F = ∅ pred x A R
2 snex ⊢ ∅ pred x A R ∈ V
3 1 2 eqeltri ⊢ F ∈ V