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