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Theorem fnrnafv 28004
 Description: The range of a function expressed as a collection of the function's values, analogous to fnrnfv 5775. (Contributed by Alexander van der Vekens, 25-May-2017.)
Assertion
Ref Expression
fnrnafv '''
Distinct variable groups:   ,,   ,,

Proof of Theorem fnrnafv
StepHypRef Expression
1 dfafn5a 28002 . . 3 '''
21rneqd 5099 . 2 '''
3 eqid 2438 . . 3 ''' '''
43rnmpt 5118 . 2 ''' '''
52, 4syl6eq 2486 1 '''
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1653  cab 2424  wrex 2708   cmpt 4268   crn 4881   wfn 5451  '''cafv 27950 This theorem is referenced by:  afvelrnb  28005  afvelrnb0  28006 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-14 1730  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419  ax-sep 4332  ax-nul 4340  ax-pr 4405 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-eu 2287  df-mo 2288  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ne 2603  df-ral 2712  df-rex 2713  df-rab 2716  df-v 2960  df-sbc 3164  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4215  df-opab 4269  df-mpt 4270  df-id 4500  df-xp 4886  df-rel 4887  df-cnv 4888  df-co 4889  df-dm 4890  df-rn 4891  df-res 4892  df-iota 5420  df-fun 5458  df-fn 5459  df-fv 5464  df-dfat 27952  df-afv 27953
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