Metamath Proof Explorer


Theorem bnj528

Description: Technical lemma for bnj852 . 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 bnj528.1 𝐺 = ( 𝑓 ∪ { ⟨ 𝑚 , 𝑦 ∈ ( 𝑓𝑝 ) pred ( 𝑦 , 𝐴 , 𝑅 ) ⟩ } )
Assertion bnj528 𝐺 ∈ V

Proof

Step Hyp Ref Expression
1 bnj528.1 𝐺 = ( 𝑓 ∪ { ⟨ 𝑚 , 𝑦 ∈ ( 𝑓𝑝 ) pred ( 𝑦 , 𝐴 , 𝑅 ) ⟩ } )
2 1 bnj918 𝐺 ∈ V