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Theorem afveq1 30187
 Description: Equality theorem for function value, analogous to fveq1 5797. (Contributed by Alexander van der Vekens, 22-Jul-2017.)
Assertion
Ref Expression
afveq1 ''' '''

Proof of Theorem afveq1
StepHypRef Expression
1 id 22 . 2
2 eqidd 2455 . 2
31, 2afveq12d 30186 1 ''' '''
 Colors of variables: wff setvar class Syntax hints:   wi 4   wceq 1370  '''cafv 30165 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-11 1782  ax-12 1794  ax-13 1955  ax-ext 2432 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 967  df-tru 1373  df-ex 1588  df-nf 1591  df-sb 1703  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2604  df-rex 2804  df-rab 2807  df-v 3078  df-dif 3438  df-un 3440  df-in 3442  df-ss 3449  df-nul 3745  df-if 3899  df-sn 3985  df-pr 3987  df-op 3991  df-uni 4199  df-br 4400  df-opab 4458  df-xp 4953  df-rel 4954  df-cnv 4955  df-co 4956  df-dm 4957  df-res 4959  df-iota 5488  df-fun 5527  df-fv 5533  df-dfat 30167  df-afv 30168 This theorem is referenced by: (None)
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