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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: NDIFF_8:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">r</font> holds <br/> <a href="lopban_5.html#K1" title="LOPBAN_5:func.1">Ball</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">r</font>) is    <a href="nfcont_1.html#M1" title="NFCONT_1:mode.1">Neighbourhood</a> of <font color="Olive" title="b2">p</font></div></div>
