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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: CONVEX4:12</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">A</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">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/>( <font color="Olive" title="b2">A</font> is  <a href="clvect_1.html#V6" title="CLVECT_1:attr.6">linearly-closed</a>  iff  for <font color="Olive" title="b3">l</font> being    <a href="convex4.html#M2" title="CONVEX4:mode.2">C_Linear_Combination</a> of <font color="Olive" title="b2">A</font> holds   <a href="convex4.html#K4" title="CONVEX4:func.4">Sum</a> <font color="Olive" title="b3">l</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> )</div></div>
