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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: SUPINF_2:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a><br/>  for <font color="Olive" title="b2">z</font> being   <a href="supinf_1.html#NM1" title="SUPINF_1:NM.1">R_eal</a> holds <br/> ( <font color="Olive" title="b2">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> iff  <a href="supinf_2.html#K2" title="SUPINF_2:func.2">-</a> <font color="Olive" title="b2">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="supinf_2.html#K6" title="SUPINF_2:func.6">-</a> <font color="Olive" title="b1">X</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="member_1.html#T1" onmouseover="rs('member_1/T1')" onmouseout="rh()">MEMBER_1:1</a></span>;<br/></div></div>
