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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: MIDSP_2:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   <a href="midsp_1.html#NM1" title="MIDSP_1:NM.1">MidSp</a><br/>  for <font color="Olive" title="b2">W</font> being   <a href="midsp_2.html#NM1" title="MIDSP_2:NM.1">ATLAS</a> of <font color="Olive" title="b1">M</font><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">c</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b3">a</font> <a href="midsp_1.html#K3" title="MIDSP_1:func.3">@</a> <font color="Olive" title="b5">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b</font> iff <font color="Olive" title="b2">W</font> <a href="midsp_2.html#K9" title="MIDSP_2:func.9">.</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">c</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_2.html#K1" title="MIDSP_2:func.1">Double</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">W</font> <a href="midsp_2.html#K9" title="MIDSP_2:func.9">.</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>)</span>)</span> )</div></div>
