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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">LMBALL1</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: NDIFF_8:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</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">M</font><br/>  for <font color="Olive" title="b3">r1</font>, <font color="Olive" title="b4">r2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b3">r1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">r2</font> holds <br/>(  <a href="ndiff_8.html#K1" title="NDIFF_8:func.1">cl_Ball</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">r1</font>) <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="b2">p</font>,<font color="Olive" title="b4">r2</font>) &amp;  <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">r1</font>) <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="b2">p</font>,<font color="Olive" title="b4">r2</font>) &amp;  <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">r1</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="lopban_5.html#K1" title="LOPBAN_5:func.1">Ball</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b4">r2</font>) )</div></div>
