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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski3.html#V12" title="GTARSKI3:attr.12">(Co)</a> <a onclick="hs(this)" href="javascript:()">GTARSKI3:def 25 : <br/></a><span> for <font color="Olive" title="b1">S</font> being    <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a>  holds <br/> ( <font color="Olive" title="b1">S</font> is  <a href="gtarski3.html#V12" title="GTARSKI3:attr.12">(Co)</a>  iff  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  ex <font color="Olive" title="b4">a</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> st <br/> for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">y</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b5">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> &amp; <font color="Olive" title="b6">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Y</font> holds <br/> <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">x</font>,<font color="Olive" title="b6">y</font> holds <br/> ex <font color="Olive" title="b4">b</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> st <br/> for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">y</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b5">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> &amp; <font color="Olive" title="b6">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Y</font> holds <br/> <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b5">x</font>,<font color="Olive" title="b4">b</font>,<font color="Olive" title="b6">y</font> );<br/></span></div>
