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<div><span class="kw">theorem </span><a NAME="T58"><span class="comment"><font color="firebrick">:: C0SP3:58</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#K12" title="C0SP3:func.12">C_0_Functions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">T</font>) is  <a href="rlsub_1.html#V1" title="RLSUB_1:attr.1">linearly-closed</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="c0sp3.html#T56" target="_self" onmouseover="rs('c0sp3/T56')" onmouseout="rh()">Th56</a>, <a class="ref" href="c0sp3.html#T57" target="_self" onmouseover="rs('c0sp3/T57')" onmouseout="rh()">Th57</a></span>;<br/></div></div>
