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Theorem eluni1 4173
 Description: Membership in a unit union. (Contributed by SF, 15-Mar-2015.)
Hypothesis
Ref Expression
eluni1.1
Assertion
Ref Expression
eluni1 1

Proof of Theorem eluni1
StepHypRef Expression
1 eluni1.1 . 2
2 eluni1g 4172 . 2 1
31, 2ax-mp 5 1 1
 Colors of variables: wff setvar class Syntax hints:   wb 176   wcel 1710  cvv 2859  csn 3737  ⋃1cuni1 4133 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334  ax-nin 4078  ax-sn 4087 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-ne 2518  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-un 3214  df-dif 3215  df-ss 3259  df-nul 3551  df-sn 3741  df-uni 3892  df-1c 4136  df-uni1 4138 This theorem is referenced by:  dfuni12  4291  dfuni3  4315  dfint3  4318  ncfinraiselem2  4480  nnpweqlem1  4522  sfintfinlem1  4531  tfinnnlem1  4533  vfinspclt  4552  setconslem4  4734  enpw1lem1  6061  nenpw1pwlem1  6084  nmembers1lem1  6268  nchoicelem16  6304  nchoicelem18  6306
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