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Theorem resexOLD 26485
Description: The restriction of a set is a set. (Contributed by Jeff Madsen, 19-Jun-2011.) (Moved to resex 5011 in main set.mm and may be deleted by mathbox owner, JM. --NM 16-Jan-2014.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
resexOLD.1  |-  A  e. 
_V
Assertion
Ref Expression
resexOLD  |-  ( A  |`  B )  e.  _V

Proof of Theorem resexOLD
StepHypRef Expression
1 resexOLD.1 . 2  |-  A  e. 
_V
21resex 5011 1  |-  ( A  |`  B )  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 1696   _Vcvv 2801    |` cres 4707
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-7 1720  ax-11 1727  ax-12 1878  ax-ext 2277  ax-sep 4157
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1310  df-ex 1532  df-nf 1535  df-sb 1639  df-clab 2283  df-cleq 2289  df-clel 2292  df-nfc 2421  df-v 2803  df-in 3172  df-ss 3179  df-res 4717
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