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<div><span class="kw">theorem </span><a NAME="T22"><span class="comment"><font color="firebrick">:: E_SIEC:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   <a href="e_siec.html#NM2" title="E_SIEC:NM.2">e_net</a> holds <br/> ( <span class="p1">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="relat_1.html#NK6" title="RELAT_1:NK.6">*</a> <span class="p1">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <span class="p3">(<span class="default"><a href="e_siec.html#K12" title="E_SIEC:func.12">e_shore</a> <font color="Olive" title="b1">N</font></span>)</span></span>)</span></span>)</span> <a href="relat_1.html#NK6" title="RELAT_1:NK.6">*</a> <span class="p1">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="e_siec.html#K13" title="E_SIEC:func.13">e_prox</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="relat_1.html#K2" title="RELAT_1:func.2">~</a></span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <span class="p2">(<span class="default"><a href="e_siec.html#K12" title="E_SIEC:func.12">e_shore</a> <font color="Olive" title="b1">N</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="e_siec.html#K14" title="E_SIEC:func.14">e_flow</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="e_siec.html#K14" title="E_SIEC:func.14">e_flow</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="relat_1.html#K2" title="RELAT_1:func.2">~</a></span>)</span> )</div></div>
