<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a> <a onclick="hs(this)" href="javascript:()">AFF_4:def 5 : <br/></a><span> for <font color="Olive" title="b1">AS</font> being   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a><br/>  for <font color="Olive" title="b2">K</font>, <font color="Olive" title="b3">M</font>, <font color="Olive" title="b4">N</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AS</font> holds <br/> ( <font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">N</font> <a href="aff_4.html#R2" title="AFF_4:pred.2">is_coplanar</a>  iff  ex <font color="Olive" title="b5">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AS</font> st <br/>( <font color="Olive" title="b2">K</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b5">X</font> &amp; <font color="Olive" title="b3">M</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b5">X</font> &amp; <font color="Olive" title="b4">N</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b5">X</font> &amp; <font color="Olive" title="b5">X</font> is  <a href="aff_4.html#V1" title="AFF_4:attr.1">being_plane</a>  ) );<br/></span></div>
