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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th24</font></span>: <a NAME="T24"><span class="comment"><font color="firebrick">:: MAZURULM:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font>, <font color="Olive" title="b2">F</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">F</font>  st <font color="Olive" title="b3">f</font> is  <a href="mazurulm.html#V1" title="MAZURULM:attr.1">isometric</a>  holds <br/><font color="Olive" title="b3">f</font> <a href="nfcont_1.html#R3" title="NFCONT_1:pred.3">is_continuous_on</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b3">f</font></div></div>
