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<div><span class="kw">theorem </span><a NAME="T109"><span class="comment"><font color="firebrick">:: SRINGS_5:109</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="srings_5.html#K26" title="SRINGS_5:func.26">EMINFTY</a> <font color="Olive" title="b2">n</font></span>)</span> holds   <a href="metric_1.html#K8" title="METRIC_1:func.8">Ball</a> (<font color="Olive" title="b3">p</font>,<font color="Olive" title="b1">r</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="srings_5.html#K20" title="SRINGS_5:func.20">OpenHyperInterval</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="srings_5.html#K28" title="SRINGS_5:func.28">@</a> <font color="Olive" title="b3">p</font></span>)</span> <a href="euclid.html#K8" title="EUCLID:func.8">-</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">n</font> <a href="srings_5.html#K23" title="SRINGS_5:func.23">|-&gt;</a> <font color="Olive" title="b1">r</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="srings_5.html#K28" title="SRINGS_5:func.28">@</a> <font color="Olive" title="b3">p</font></span>)</span> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">n</font> <a href="srings_5.html#K23" title="SRINGS_5:func.23">|-&gt;</a> <font color="Olive" title="b1">r</font></span>)</span></span>)</span>)</div></div>
