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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">LMCLOSE2</font></span>: <a NAME="T33"><span class="comment"><font color="firebrick">:: NDIFF_8:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b3">z</font>, <font color="Olive" title="b4">y1</font>, <font color="Olive" title="b5">y2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">E</font>  st <font color="Olive" title="b4">y1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="ndiff_8.html#K1" title="NDIFF_8:func.1">cl_Ball</a> (<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">r</font>) &amp; <font color="Olive" title="b5">y2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="ndiff_8.html#K1" title="NDIFF_8:func.1">cl_Ball</a> (<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">r</font>) holds <br/><span class="p1"><a href="ndiff_5.html#NK2" title="NDIFF_5:NK.2">[.</a><span class="default"><font color="Olive" title="b4">y1</font>,<font color="Olive" title="b5">y2</font></span><a href="ndiff_5.html#NK2" title="NDIFF_5:NK.2">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="ndiff_8.html#K1" title="NDIFF_8:func.1">cl_Ball</a> (<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">r</font>)</div></div>
