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Theorem elexi 2868
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 2867 . 2 (A BA V)
31, 2ax-mp 5 1 A V
Colors of variables: wff setvar class
Syntax hints:   wcel 1710  Vcvv 2859
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-v 2861
This theorem is referenced by:  caovmo  5645  spacvallem1  6281  nchoicelem16  6304
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