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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: CONVEX4:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="clvect_1.html#NM2" title="CLVECT_1:NM.2">ComplexLinearSpace</a><br/>  for <font color="Olive" title="b2">M</font>, <font color="Olive" title="b3">N</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">M</font> is  <a href="convex4.html#V2" title="CONVEX4:attr.2">convex</a>  &amp; <font color="Olive" title="b3">N</font> is  <a href="convex4.html#V2" title="CONVEX4:attr.2">convex</a>  holds <br/><font color="Olive" title="b2">M</font> <a href="rusub_5.html#K1" title="RUSUB_5:func.1">-</a> <font color="Olive" title="b3">N</font> is  <a href="convex4.html#V2" title="CONVEX4:attr.2">convex</a> </div></div>
