Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  elun2 Unicode version

Theorem elun2 3141
 Description: Membership law for union of classes. (Contributed by NM, 30-Aug-1993.)
Assertion
Ref Expression
elun2

Proof of Theorem elun2
StepHypRef Expression
1 ssun2 3137 . 2
21sseli 2996 1
 Colors of variables: wff set class Syntax hints:   wi 4   wcel 1434   cun 2972 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2064 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1687  df-clab 2069  df-cleq 2075  df-clel 2078  df-nfc 2209  df-v 2604  df-un 2978  df-in 2980  df-ss 2987 This theorem is referenced by:  dftpos4  5912  tfrlemibxssdm  5976  tfrlemi14d  5982  tfr1onlembxssdm  5992  tfr1onlemres  5998  tfrcllembxssdm  6005  tfrcllemres  6011  nndifsnid  6146  fidifsnid  6406  findcard2d  6425  findcard2sd  6426  onunsnss  6437  mnfxr  7237  sizeinfuni  9801
 Copyright terms: Public domain W3C validator