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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E81">Satz7p22part2</font></span>: <a NAME="T114"><span class="comment"><font color="firebrick">:: GTARSKI3:114</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">c</font>, <font color="Olive" title="b3">a1</font>, <font color="Olive" title="b4">a2</font>, <font color="Olive" title="b5">b1</font>, <font color="Olive" title="b6">b2</font>, <font color="Olive" title="b7">m1</font>, <font color="Olive" title="b8">m2</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font>  st  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b3">a1</font>,<font color="Olive" title="b2">c</font>,<font color="Olive" title="b4">a2</font> &amp;  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b5">b1</font>,<font color="Olive" title="b2">c</font>,<font color="Olive" title="b6">b2</font> &amp; <font color="Olive" title="b2">c</font>,<font color="Olive" title="b3">a1</font> <a href="gtarski1.html#R2" title="GTARSKI1:pred.2">equiv</a> <font color="Olive" title="b2">c</font>,<font color="Olive" title="b5">b1</font> &amp; <font color="Olive" title="b2">c</font>,<font color="Olive" title="b4">a2</font> <a href="gtarski1.html#R2" title="GTARSKI1:pred.2">equiv</a> <font color="Olive" title="b2">c</font>,<font color="Olive" title="b6">b2</font> &amp;  <a href="gtarski3.html#R9" title="GTARSKI3:pred.9">Middle</a> <font color="Olive" title="b3">a1</font>,<font color="Olive" title="b7">m1</font>,<font color="Olive" title="b5">b1</font> &amp;  <a href="gtarski3.html#R9" title="GTARSKI3:pred.9">Middle</a> <font color="Olive" title="b4">a2</font>,<font color="Olive" title="b8">m2</font>,<font color="Olive" title="b6">b2</font> &amp; <font color="Olive" title="b2">c</font>,<font color="Olive" title="b4">a2</font> <a href="gtarski3.html#R6" title="GTARSKI3:pred.6">&lt;=</a> <font color="Olive" title="b2">c</font>,<font color="Olive" title="b3">a1</font> holds <br/> <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b7">m1</font>,<font color="Olive" title="b2">c</font>,<font color="Olive" title="b8">m2</font></div></div>
