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<div><span class="kw">theorem </span><a NAME="T75"><span class="comment"><font color="firebrick">:: MATHMORP:75</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Olive" title="b1">n</font></span>)</span>  st <font color="Olive" title="b2">X</font> is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a>  holds <br/><font color="Olive" title="b2">X</font> <a href="mathmorp.html#K2" title="MATHMORP:func.2">!</a>  is  <a href="convex1.html#V1" title="CONVEX1:attr.1">convex</a> </div></div>
