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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: MESFUN16:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">E</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">P</font><br/>  for <font color="Olive" title="b4">F</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">Q</font>  st <font color="Olive" title="b3">E</font> is  <a href="nfcont_1.html#V1" title="NFCONT_1:attr.1">compact</a>  &amp; <font color="Olive" title="b4">F</font> is  <a href="nfcont_1.html#V1" title="NFCONT_1:attr.1">compact</a>  holds <br/>( <span class="p1"><a href="mesfun16.html#K1" title="MESFUN16:func.1">[:</a><span class="default"><font color="Olive" title="b3">E</font>,<font color="Olive" title="b4">F</font></span><a href="mesfun16.html#K1" title="MESFUN16:func.1">:]</a></span> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span> &amp; <span class="p1"><a href="mesfun16.html#K1" title="MESFUN16:func.1">[:</a><span class="default"><font color="Olive" title="b3">E</font>,<font color="Olive" title="b4">F</font></span><a href="mesfun16.html#K1" title="MESFUN16:func.1">:]</a></span> is  <a href="nfcont_1.html#V1" title="NFCONT_1:attr.1">compact</a>  )</div></div>
