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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def3</font></span>   defines <a href="rltopsp1.html#V1" title="RLTOPSP1:attr.1">convex-membered</a> <a onclick="hs(this)" href="javascript:()">RLTOPSP1:def 3 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="rlvect_1.html#L1" title="RLVECT_1:struct.1">RLSStruct</a> <br/>  for <font color="Olive" title="b2">P</font> being   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b2">P</font> is  <a href="rltopsp1.html#V1" title="RLTOPSP1:attr.1">convex-membered</a>  iff  for <font color="Olive" title="b3">M</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="b3">M</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">P</font> holds <br/><font color="Olive" title="b3">M</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  );<br/></span></div>
