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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski4.html#K2" title="GTARSKI4:func.2">Midpoint</a> <a onclick="hs(this)" href="javascript:()">GTARSKI4:def 9 : <br/></a><span> 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="gtarski2.html#NV5" title="GTARSKI2:NV.5">satisfying_Lower_Dimension_Axiom</a>   <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a> <br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive">b<sub>4</sub></font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="gtarski4.html#K2" title="GTARSKI4:func.2">Midpoint</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) iff  <a href="gtarski3.html#R9" title="GTARSKI3:pred.9">Middle</a> <font color="Olive" title="b2">a</font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive" title="b3">b</font> );<br/></span></div>
