Theorem predasetexOLD 6342

Description: Obsolete form of predexg 6341 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 6341	. 2 ⊢ (𝐴 ∈ V → Pred(𝑅, 𝐴, 𝑋) ∈ V)
3	1, 2	ax-mp 5	1 ⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Syntax hints:   ∈ wcel 2106  Vcvv 3478  Predcpred 6322

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1792  ax-4 1806  ax-5 1908  ax-6 1965  ax-7 2005  ax-8 2108  ax-9 2116  ax-ext 2706  ax-sep 5302

This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1540  df-ex 1777  df-sb 2063  df-clab 2713  df-cleq 2727  df-clel 2814  df-rab 3434  df-v 3480  df-in 3970  df-pred 6323

This theorem is referenced by: (None)