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Theorem reueq1 2906
 Description: Equality theorem for restricted uniqueness quantifier. (Contributed by NM, 5-Apr-2004.)
Assertion
Ref Expression
reueq1
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Proof of Theorem reueq1
StepHypRef Expression
1 nfcv 2572 . 2
2 nfcv 2572 . 2
31, 2reueq1f 2902 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wceq 1652  wreu 2707 This theorem is referenced by:  reueqd  2914  isplig  21765  isfrgra  28380  frgra3v  28392  1vwmgra  28393  3vfriswmgra  28395  hdmap14lem4a  32672  hdmap14lem15  32683 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-eu 2285  df-cleq 2429  df-clel 2432  df-nfc 2561  df-reu 2712
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