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<div><span class="kw">theorem </span><a NAME="T59"><span class="comment"><font color="firebrick">:: C0SP3:59</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">T</font> being   <a href="c0sp3.html#NM1" title="C0SP3:NM.1">NormedLinearTopSpace</a> holds   <a href="c0sp3.html#K13" title="C0SP3:func.13">R_VectorSpace_of_C_0_Functions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">T</font>) is    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of  <a href="lopban_1.html#K5" title="LOPBAN_1:func.5">RealVectSpace</a> ( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">T</font>) <span class="kw">by</span> <span class="lab"><a class="ref" href="rsspace.html#T11" onmouseover="rs('rsspace/T11')" onmouseout="rh()">RSSPACE:11</a></span>;<br/></div></div>
