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Theorem pwv 3886
Description: The power class of the universe is the universe. Exercise 4.12(d) of [Mendelson] p. 235. (Contributed by NM, 14-Sep-2003.)
Assertion
Ref Expression
pwv

Proof of Theorem pwv
StepHypRef Expression
1 ssv 3291 . . . 4
2 vex 2862 . . . . 5
32elpw 3728 . . . 4
41, 3mpbir 200 . . 3
54, 22th 230 . 2
65eqriv 2350 1
Colors of variables: wff setvar class
Syntax hints:   wceq 1642   wcel 1710  cvv 2859   wss 3257  cpw 3722
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-ss 3259  df-pw 3724
This theorem is referenced by:  1cvsfin  4542  ncpw1c  6154  ce2nc1  6193  nchoicelem19  6307  vncan  6337
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