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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th58</font></span>: <a NAME="T58"><span class="comment"><font color="firebrick">:: FINTOPO8:58</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="fintopo8.html#K13" title="FINTOPO8:func.13">FMT_R^1</a><br/>  for <font color="Olive" title="b2">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b2">r</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>  holds <br/><span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">x</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b2">r</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b1">x</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">r</font></span>)</span></span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span> is    <a href="fintopo7.html#M1" title="FINTOPO7:mode.1">a_neighborhood</a> of <font color="Olive" title="b1">x</font></div></div>
