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Theorem vsnid 3527
Description: A setvar variable is a member of its singleton (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
vsnid  |-  x  e. 
{ x }

Proof of Theorem vsnid
StepHypRef Expression
1 vex 2663 . 2  |-  x  e. 
_V
21snid 3526 1  |-  x  e. 
{ x }
Colors of variables: wff set class
Syntax hints:    e. wcel 1465   {csn 3497
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-io 683  ax-5 1408  ax-7 1409  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-10 1468  ax-11 1469  ax-i12 1470  ax-bndl 1471  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-i5r 1500  ax-ext 2099
This theorem depends on definitions:  df-bi 116  df-tru 1319  df-nf 1422  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-nfc 2247  df-v 2662  df-sn 3503
This theorem is referenced by:  rext  4107  snnex  4339  dtruex  4444  fnressn  5574  fressnfv  5575  findcard2d  6753  findcard2sd  6754  diffifi  6756  ac6sfi  6760  fisseneq  6788  finomni  6980  modfsummodlem1  11193  txdis  12373  txdis1cn  12374
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