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<div>:: <span class="kw">deftheorem </span>   defines <a href="euclidlp.html#R7" title="EUCLIDLP:pred.7">are_coplane</a> <a onclick="hs(this)" href="javascript:()">EUCLIDLP:def 12 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">L1</font>, <font color="Olive" title="b3">L2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="euclidlp.html#K1" title="EUCLIDLP:func.1">line_of_REAL</a> <font color="Olive" title="b1">n</font> holds <br/> ( <font color="Olive" title="b2">L1</font>,<font color="Olive" title="b3">L2</font> <a href="euclidlp.html#R7" title="EUCLIDLP:pred.7">are_coplane</a>  iff  ex <font color="Olive" title="b4">x1</font>, <font color="Olive" title="b5">x2</font>, <font color="Olive" title="b6">x3</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font> st <br/>( <font color="Olive" title="b2">L1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="euclidlp.html#K4" title="EUCLIDLP:func.4">plane</a> (<font color="Olive" title="b4">x1</font>,<font color="Olive" title="b5">x2</font>,<font color="Olive" title="b6">x3</font>) &amp; <font color="Olive" title="b3">L2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="euclidlp.html#K4" title="EUCLIDLP:func.4">plane</a> (<font color="Olive" title="b4">x1</font>,<font color="Olive" title="b5">x2</font>,<font color="Olive" title="b6">x3</font>) ) );<br/></span></div>
