Theorem predasetexOLD 6207

Description: Obsolete form of predexg 6206 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 6206	. 2 ⊢ (𝐴 ∈ V → Pred(𝑅, 𝐴, 𝑋) ∈ V)
3	1, 2	ax-mp 5	1 ⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Syntax hints:   ∈ wcel 2112  Vcvv 3423  Predcpred 6188

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1976  ax-7 2016  ax-8 2114  ax-9 2122  ax-ext 2710  ax-sep 5216

This theorem depends on definitions:  df-bi 210  df-an 400  df-tru 1546  df-ex 1788  df-sb 2073  df-clab 2717  df-cleq 2731  df-clel 2818  df-rab 3073  df-v 3425  df-in 3891  df-pred 6189

This theorem is referenced by: (None)