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<div><span class="kw">theorem </span><a NAME="T81"><span class="comment"><font color="firebrick">:: CONVEX4:81</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">L</font> being    <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="clvect_1.html#NM1" title="CLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">L</font> is  <a href="convex4.html#V3" title="CONVEX4:attr.3">convex</a>  &amp;  ex <font color="Olive" title="b4">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>( <font color="Olive" title="b4">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">L</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">v</font> &amp; <font color="Olive" title="b4">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) holds <br/> not <font color="Olive" title="b3">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Olive" title="b2">L</font></div></div>
