<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T86"><span class="comment"><font color="firebrick">:: GTARSKI5:86</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="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">r</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b3">A</font> <a href="gtarski5.html#R8" title="GTARSKI5:pred.8">is_plane</a>  &amp;  not <font color="Olive" title="b2">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> holds <br/> <a href="gtarski5.html#K8" title="GTARSKI5:func.8">space3</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b2">r</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b4">x</font> where <font color="Olive" title="b4">x</font> is   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> : ( <font color="Olive" title="b3">A</font> <a href="gtarski5.html#R12" title="GTARSKI5:pred.12">out2</a> <font color="Olive" title="b4">x</font>,<font color="Olive" title="b2">r</font> or <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> or  <a href="gtarski5.html#R11" title="GTARSKI5:pred.11">between2</a> <font color="Olive" title="b2">r</font>,<font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">x</font> ) </span> } </span> </div></div>
