Theorem predasetexOLD 6257

Description: Obsolete form of predexg 6256 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 6256	. 2 ⊢ (𝐴 ∈ V → Pred(𝑅, 𝐴, 𝑋) ∈ V)
3	1, 2	ax-mp 5	1 ⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Syntax hints:   ∈ wcel 2105  Vcvv 3441  Predcpred 6237

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-5 1912  ax-6 1970  ax-7 2010  ax-8 2107  ax-9 2115  ax-ext 2707  ax-sep 5243

This theorem depends on definitions:  df-bi 206  df-an 397  df-tru 1543  df-ex 1781  df-sb 2067  df-clab 2714  df-cleq 2728  df-clel 2814  df-rab 3404  df-v 3443  df-in 3905  df-pred 6238

This theorem is referenced by: (None)