Theorem predasetexOLD 6318

Description: Obsolete form of predexg 6317 as of 27-Oct-2024. (Contributed by Scott Fenton, 8-Feb-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
predasetexOLD.1	⊢ 𝐴 ∈ V

Assertion

Ref	Expression
predasetexOLD	⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Proof of Theorem predasetexOLD

Step	Hyp	Ref	Expression
1		predasetexOLD.1	. 2 ⊢ 𝐴 ∈ V
2		predexg 6317	. 2 ⊢ (𝐴 ∈ V → Pred(𝑅, 𝐴, 𝑋) ∈ V)
3	1, 2	ax-mp 5	1 ⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Syntax hints:   ∈ wcel 2099  Vcvv 3469  Predcpred 6298

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-8 2101  ax-9 2109  ax-ext 2698  ax-sep 5293

This theorem depends on definitions:  df-bi 206  df-an 396  df-tru 1537  df-ex 1775  df-sb 2061  df-clab 2705  df-cleq 2719  df-clel 2805  df-rab 3428  df-v 3471  df-in 3951  df-pred 6299

This theorem is referenced by: (None)