Theorem predasetexOLD 6320

Description: Obsolete form of predexg 6319 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 6319	. 2 ⊢ (𝐴 ∈ V → Pred(𝑅, 𝐴, 𝑋) ∈ V)
3	1, 2	ax-mp 5	1 ⊢ Pred(𝑅, 𝐴, 𝑋) ∈ V

Syntax hints:   ∈ wcel 2098  Vcvv 3463  Predcpred 6300

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963  ax-7 2003  ax-8 2100  ax-9 2108  ax-ext 2696  ax-sep 5295

This theorem depends on definitions:  df-bi 206  df-an 395  df-tru 1536  df-ex 1774  df-sb 2060  df-clab 2703  df-cleq 2717  df-clel 2802  df-rab 3420  df-v 3465  df-in 3948  df-pred 6301

This theorem is referenced by: (None)