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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Prelim12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: GTARSKI4:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="gtarski1.html#V9" title="GTARSKI1:attr.9">satisfying_Tarski-model</a>   <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a> <br/>  for <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">p</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> holds   <a href="gtarski3.html#R9" title="GTARSKI3:pred.9">Middle</a>  <a href="gtarski3.html#K3" title="GTARSKI3:func.3">reflection</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b3">c</font>), <a href="gtarski3.html#K3" title="GTARSKI3:func.3">reflection</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b2">b</font>), <a href="gtarski3.html#K3" title="GTARSKI3:func.3">reflection</a> (<font color="Olive" title="b4">p</font>,<span class="p1">(<span class="default"><a href="gtarski3.html#K3" title="GTARSKI3:func.3">reflection</a> (<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>)</span>)</span>)</div></div>
