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Theorem elexi 2544
Description: If a class is a member of another class, it is a set. (Contributed by NM, 11-Jun-1994.)
Hypothesis
Ref Expression
elisseti.1 A B
Assertion
Ref Expression
elexi A V

Proof of Theorem elexi
StepHypRef Expression
1 elisseti.1 . 2 A B
2 elex 2543 . 2 (A BA V)
31, 2ax-mp 7 1 A V
Colors of variables: wff set class
Syntax hints:   wcel 1374  Vcvv 2535
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 1316  ax-gen 1318  ax-ie1 1363  ax-ie2 1364  ax-8 1376  ax-4 1381  ax-17 1400  ax-i9 1404  ax-ial 1409  ax-ext 2004
This theorem depends on definitions:  df-bi 110  df-sb 1628  df-clab 2009  df-cleq 2015  df-clel 2018  df-v 2537
This theorem is referenced by:  onunisuci  4119  ordsoexmid  4224  fnoei  5947  oeiexg  5948  prarloclemarch2  6276  prarloclemlt  6347  opelreal  6540  elreal  6541  elreal2  6542  eqresr  6547  c0ex  6623  1ex  6624
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