Theorem vexOLD 3477

Description: Obsolete version of vex 3476 as of 4-Sep-2024. (Contributed by NM, 26-May-1993.) Remove use of ax-12 2169. (Revised by SN, 28-Aug-2023.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
vexOLD	⊢ 𝑥 ∈ V

Proof of Theorem vexOLD

Step	Hyp	Ref	Expression
1		equid 2013	. . 3 ⊢ 𝑥 = 𝑥
2	1	vexw 2713	. 2 ⊢ 𝑥 ∈ {𝑥 ∣ 𝑥 = 𝑥}
3		df-v 3474	. 2 ⊢ V = {𝑥 ∣ 𝑥 = 𝑥}
4	2, 3	eleqtrri 2830	1 ⊢ 𝑥 ∈ V

Syntax hints:   ∈ wcel 2104  {cab 2707  Vcvv 3472

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1911  ax-6 1969  ax-7 2009  ax-8 2106  ax-9 2114  ax-ext 2701

This theorem depends on definitions:  df-bi 206  df-an 395  df-ex 1780  df-sb 2066  df-clab 2708  df-cleq 2722  df-clel 2808  df-v 3474

This theorem is referenced by: (None)