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Theorem vexOLD 3478
Description: Obsolete version of vex 3477 as of 4-Sep-2024. (Contributed by NM, 26-May-1993.) Remove use of ax-12 2171. (Revised by SN, 28-Aug-2023.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
vexOLD 𝑥 ∈ V

Proof of Theorem vexOLD
StepHypRef Expression
1 equid 2015 . . 3 𝑥 = 𝑥
21vexw 2714 . 2 𝑥 ∈ {𝑥𝑥 = 𝑥}
3 df-v 3475 . 2 V = {𝑥𝑥 = 𝑥}
42, 3eleqtrri 2831 1 𝑥 ∈ V
Colors of variables: wff setvar class
Syntax hints:  wcel 2106  {cab 2708  Vcvv 3473
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1913  ax-6 1971  ax-7 2011  ax-8 2108  ax-9 2116  ax-ext 2702
This theorem depends on definitions:  df-bi 206  df-an 397  df-ex 1782  df-sb 2068  df-clab 2709  df-cleq 2723  df-clel 2809  df-v 3475
This theorem is referenced by: (None)
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