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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: CONVEX1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b2">M</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  iff <font color="Olive" title="b3">v</font> <a href="rusub_4.html#K5" title="RUSUB_4:func.5">+</a> <font color="Olive" title="b2">M</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  )</div></div>
