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Theorem c0ex 7728
Description: 0 is a set (common case). (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
c0ex  |-  0  e.  _V

Proof of Theorem c0ex
StepHypRef Expression
1 0cn 7726 . 2  |-  0  e.  CC
21elexi 2672 1  |-  0  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 1465   _Vcvv 2660   CCcc 7586   0cc0 7588
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1408  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-ext 2099  ax-1cn 7681  ax-icn 7683  ax-addcl 7684  ax-mulcl 7686  ax-i2m1 7693
This theorem depends on definitions:  df-bi 116  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-v 2662
This theorem is referenced by:  elnn0  8937  nn0ex  8941  un0mulcl  8969  nn0ssz  9030  nn0ind-raph  9126  ser0f  10243  fser0const  10244  facnn  10428  fac0  10429  prhash2ex  10510  iserge0  11067  sum0  11112  isumz  11113  fisumss  11116  bezoutlemmain  11598  lcmval  11656  dvef  12767  isomninnlem  13121
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