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Theorem aovnfundmuv 28060
 Description: If an ordered pair is not in the domain of a class or the class is not a function restricted to the ordered pair, then the operation value for this pair is the universal class. (Contributed by Alexander van der Vekens, 26-May-2017.)
Assertion
Ref Expression
aovnfundmuv defAt (())

Proof of Theorem aovnfundmuv
StepHypRef Expression
1 df-aov 27990 . 2 (()) '''
2 afvnfundmuv 28017 . 2 defAt '''
31, 2syl5eq 2486 1 defAt (())
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wceq 1653  cvv 2962  cop 3841   defAt wdfat 27985  '''cafv 27986   ((caov 27987 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1668  ax-8 1689  ax-6 1746  ax-7 1751  ax-11 1763  ax-12 1953  ax-ext 2423 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2429  df-cleq 2435  df-clel 2438  df-nfc 2567  df-rab 2720  df-v 2964  df-un 3311  df-if 3764  df-fv 5491  df-afv 27989  df-aov 27990
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