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Theorem unss12 3675
 Description: Subclass law for union of classes. (Contributed by NM, 2-Jun-2004.)
Assertion
Ref Expression
unss12

Proof of Theorem unss12
StepHypRef Expression
1 unss1 3672 . 2
2 unss2 3674 . 2
31, 2sylan9ss 3516 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  /\wa 369  u.cun 3473  C_wss 3475 This theorem is referenced by:  pwssun  4791  fun  5753  undom  7625  finsschain  7847  mvdco  16470  dprd2da  17091  dmdprdsplit2lem  17094  lspun  17633  spanuni  26462  sshhococi  26464  mthmpps  28942  mblfinlem3  30053  dochdmj1  37117 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-v 3111  df-un 3480  df-in 3482  df-ss 3489
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