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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th22</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: MESFUN16:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <font color="Olive" title="b2">S</font>,<a href="dualsp02.html#K3" title="DUALSP02:func.3">RNS_Real</a>  st <font color="Olive" title="b3">f</font> <a href="nfcont_1.html#R3" title="NFCONT_1:pred.3">is_continuous_on</a> <font color="Olive" title="b1">X</font> &amp; <font color="Olive" title="b4">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="normsp_0.html#K4" title="NORMSP_0:func.4">||.</a><span class="default"><font color="Olive" title="b3">f</font></span><a href="normsp_0.html#K4" title="NORMSP_0:func.4">.||</a></span> holds <br/><font color="Olive" title="b4">g</font> <a href="nfcont_1.html#R3" title="NFCONT_1:pred.3">is_continuous_on</a> <font color="Olive" title="b1">X</font></div></div>
