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Theorem bj-snex 14892
Description: snex 4197 from bounded separation. (Contributed by BJ, 5-Oct-2019.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
bj-snex.1  |-  A  e. 
_V
Assertion
Ref Expression
bj-snex  |-  { A }  e.  _V

Proof of Theorem bj-snex
StepHypRef Expression
1 bj-snex.1 . 2  |-  A  e. 
_V
2 bj-snexg 14891 . 2  |-  ( A  e.  _V  ->  { A }  e.  _V )
31, 2ax-mp 5 1  |-  { A }  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 2158   _Vcvv 2749   {csn 3604
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-5 1457  ax-7 1458  ax-gen 1459  ax-ie1 1503  ax-ie2 1504  ax-8 1514  ax-10 1515  ax-11 1516  ax-i12 1517  ax-bndl 1519  ax-4 1520  ax-17 1536  ax-i9 1540  ax-ial 1544  ax-i5r 1545  ax-14 2161  ax-ext 2169  ax-pr 4221  ax-bdor 14795  ax-bdeq 14799  ax-bdsep 14863
This theorem depends on definitions:  df-bi 117  df-tru 1366  df-nf 1471  df-sb 1773  df-clab 2174  df-cleq 2180  df-clel 2183  df-nfc 2318  df-v 2751  df-un 3145  df-sn 3610  df-pr 3611
This theorem is referenced by:  bj-d0clsepcl  14904
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