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<div><span class="kw">theorem </span><a NAME="T57"><span class="comment"><font color="firebrick">:: ANALMETR:57</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">POS</font> being   <a href="analmetr.html#NM1" title="ANALMETR:NM.1">OrtAfSp</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">K</font>, <font color="Olive" title="b4">M</font>, <font color="Olive" title="b5">N</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">POS</font><br/>  for <font color="Olive" title="b6">a</font>, <font color="Olive" title="b7">b</font>, <font color="Olive" title="b8">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">POS</font>  st <font color="Olive" title="b8">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">M</font> &amp; <font color="Olive" title="b8">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">N</font> &amp; <font color="Olive" title="b6">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">M</font> &amp; <font color="Olive" title="b7">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">N</font> &amp; <font color="Olive" title="b6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b7">b</font> &amp; <font color="Olive" title="b6">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">K</font> &amp; <font color="Olive" title="b7">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">K</font> &amp; <font color="Olive" title="b2">A</font> <a href="analmetr.html#R10" title="ANALMETR:pred.10">_|_</a> <font color="Olive" title="b4">M</font> &amp; <font color="Olive" title="b2">A</font> <a href="analmetr.html#R10" title="ANALMETR:pred.10">_|_</a> <font color="Olive" title="b5">N</font> &amp; <font color="Olive" title="b3">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  holds <br/><font color="Olive" title="b2">A</font> <a href="analmetr.html#R10" title="ANALMETR:pred.10">_|_</a> <font color="Olive" title="b3">K</font></div></div>
