<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: SUPINF_2:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</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>  st <font color="Olive" title="b1">X</font> is  <a href="xxreal_2.html#V3" title="XXREAL_2:attr.3">bounded_below</a>  &amp; <font color="Olive" title="b2">Y</font> is  <a href="xxreal_2.html#V3" title="XXREAL_2:attr.3">bounded_below</a>  holds <br/><span class="p1">(<span class="default"><a href="supinf_2.html#K7" title="SUPINF_2:func.7">inf</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="supinf_2.html#K3" title="SUPINF_2:func.3">+</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K7" title="SUPINF_2:func.7">inf</a> <font color="Olive" title="b2">Y</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="supinf_2.html#K7" title="SUPINF_2:func.7">inf</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="supinf_2.html#K5" title="SUPINF_2:func.5">+</a> <font color="Olive" title="b2">Y</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="supinf_2.html#T9" target="_self" onmouseover="rs('supinf_2/T9')" onmouseout="rh()">Th8</a></span>;<br/></div></div>
