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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th67</font></span>: <a NAME="T67"><span class="comment"><font color="firebrick">:: PROB_3:67</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">IT</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="prob_3.html#V3" title="PROB_3:attr.3">non-increasing-closed</a>  iff  for <font color="Olive" title="b3">A1</font> being   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b3">A1</font> is <a href="prob_1.html#V2" title="PROB_1:attr.2">V74</a>() &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">A1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">IT</font> holds <br/> <a href="setlim_1.html#NK7" title="SETLIM_1:NK.7">lim</a> <font color="Olive" title="b3">A1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">IT</font> )</div></div>
