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Theorem eqv 3234
Description: The universe contains every set. (Contributed by NM, 11-Sep-2006.)
Assertion
Ref Expression
eqv  _V
Distinct variable group:   ,

Proof of Theorem eqv
StepHypRef Expression
1 dfcleq 2031 . 2  _V  _V
2 vex 2554 . . . 4 
_V
32tbt 236 . . 3 
_V
43albii 1356 . 2  _V
51, 4bitr4i 176 1  _V
Colors of variables: wff set class
Syntax hints:   wb 98  wal 1240   wceq 1242   wcel 1390   _Vcvv 2551
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-v 2553
This theorem is referenced by:  setindel  4221  dmi  4493
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