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Theorem afvprc 32432
 Description: A function's value at a proper class is the universe, compare with fvprc 5866. (Contributed by Alexander van der Vekens, 25-May-2017.)
Assertion
Ref Expression
afvprc '''

Proof of Theorem afvprc
StepHypRef Expression
1 elex 3118 . . 3
21con3i 135 . 2
3 ndmafv 32428 . 2 '''
42, 3syl 16 1 '''
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wceq 1395   wcel 1819  cvv 3109   cdm 5008  '''cafv 32402 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1619  ax-4 1632  ax-5 1705  ax-6 1748  ax-7 1791  ax-10 1838  ax-11 1843  ax-12 1855  ax-13 2000  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1614  df-nf 1618  df-sb 1741  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-rab 2816  df-v 3111  df-un 3476  df-if 3945  df-fv 5602  df-dfat 32404  df-afv 32405 This theorem is referenced by:  afvvv  32433
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