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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: C0SP3:54</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="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">T</font> holds   <a href="c0sp3.html#K11" title="C0SP3:func.11">support</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <font color="Olive" title="b4">g</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="c0sp3.html#K11" title="C0SP3:func.11">support</a> <font color="Olive" title="b3">f</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="c0sp3.html#K11" title="C0SP3:func.11">support</a> <font color="Olive" title="b4">g</font></span>)</span></div></div>
