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Theorem c0ex 7021
Description: 0 is a set (common case). (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
c0ex 0 ∈ V

Proof of Theorem c0ex
StepHypRef Expression
1 0cn 7019 . 2 0 ∈ ℂ
21elexi 2567 1 0 ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 1393  Vcvv 2557  cc 6887  0cc0 6889
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 1336  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-ext 2022  ax-1cn 6977  ax-icn 6979  ax-addcl 6980  ax-mulcl 6982  ax-i2m1 6989
This theorem depends on definitions:  df-bi 110  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-v 2559
This theorem is referenced by:  elnn0  8183  nn0ex  8187  un0mulcl  8216  nn0ssz  8263  nn0ind-raph  8355  iser0f  9251  iserige0  9863
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