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Theorem elfv 5539
 Description: Membership in a function value. (Contributed by NM, 30-Apr-2004.)
Assertion
Ref Expression
elfv
Distinct variable groups:   ,   ,,   ,,
Allowed substitution hint:   ()

Proof of Theorem elfv
StepHypRef Expression
1 fv2 5536 . . 3
21eleq2i 2360 . 2
3 eluniab 3855 . 2
42, 3bitri 240 1
 Colors of variables: wff set class Syntax hints:   wb 176   wa 358  wal 1530  wex 1531   wceq 1632   wcel 1696  cab 2282  cuni 3843   class class class wbr 4039  cfv 5271 This theorem is referenced by:  fv3  5557 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 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-rex 2562  df-v 2803  df-sn 3659  df-uni 3844  df-iota 5235  df-fv 5279
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