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Theorem eqv 3213
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 2012 . 2  _V  _V
2 vex 2534 . . . 4 
_V
32tbt 236 . . 3 
_V
43albii 1335 . 2  _V
51, 4bitr4i 176 1  _V
Colors of variables: wff set class
Syntax hints:   wb 98  wal 1224   wceq 1226   wcel 1370   _Vcvv 2531
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 1312  ax-gen 1314  ax-ie1 1359  ax-ie2 1360  ax-8 1372  ax-4 1377  ax-17 1396  ax-i9 1400  ax-ial 1405  ax-ext 2000
This theorem depends on definitions:  df-bi 110  df-sb 1624  df-clab 2005  df-cleq 2011  df-clel 2014  df-v 2533
This theorem is referenced by:  setindel  4201  dmi  4473
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