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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: EUCLID_3:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p1</font>, <font color="Olive" title="b2">p2</font>, <font color="Olive" title="b3">p3</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>  st <font color="Olive" title="b2">p2</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b1">p1</font>,<font color="Olive" title="b3">p3</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b1">p1</font> <a href="euclid_3.html#R1" title="EUCLID_3:pred.1">are_lindependent2</a>  holds <br/> <a href="euclid_3.html#K9" title="EUCLID_3:func.9">plane</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Olive" title="b3">p3</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> 2</div></div>
