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<div><span class="kw">theorem </span><a NAME="T103"><span class="comment"><font color="firebrick">:: SRINGS_5:103</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">x</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a> holds <br/> (  <a href="euclid_9.html#K3" title="EUCLID_9:func.3">Intervals</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b1">r</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p1">(<span class="default"><a href="euclid_9.html#K3" title="EUCLID_9:func.3">Intervals</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b1">r</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T10" onmouseover="rs('card_3/T10')" onmouseout="rh()">CARD_3:10</a></span>;<br/></div></div>
