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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: SUPINF_1:3</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="membered.html#V2" title="MEMBERED:attr.2">ext-real-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> (  <a href="xxreal_2.html#K1" title="XXREAL_2:func.1">sup</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <span class="p1">(<span class="default"><a href="supinf_1.html#K3" title="SUPINF_1:func.3">SetMajorant</a> <font color="Olive" title="b1">X</font></span>)</span> &amp;  <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_2.html#K1" title="XXREAL_2:func.1">sup</a> <span class="p1">(<span class="default"><a href="supinf_1.html#K4" title="SUPINF_1:func.4">SetMinorant</a> <font color="Olive" title="b1">X</font></span>)</span> )</div></div>
