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<b>let </b><font color="Maroon">a</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">b</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">r</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>





<b>reconsider </b><font color="Maroon">p</font> = <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="euclid.html#K23">]|</a></span> as   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K14">Euclid</a> 2</span>)</span> <b>by </b><i><a class="ref" href="topreal3.html#T13">TOPREAL3:13</a></i>;<br/>
<a NAME="E2:75"/><i><font color="Green">E42</font></i>: 
 <a href="metric_1.html#K11">Sphere</a> <font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="hidden.html#R1">=</a>  <a href="jgraph_6.html#K5">circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:75"/><i><font color="Green">E44</font></i>: 
 <a href="metric_1.html#K9">Ball</a> <font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="hidden.html#R1">=</a>  <a href="jgraph_6.html#K6">inside_of_circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:75"/>
 <a href="metric_1.html#K10">cl_Ball</a> <font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="hidden.html#R1">=</a>  <a href="jgraph_6.html#K7">closed_inside_of_circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:75"/>
<span class="p1">(<span class="default"><a href="jgraph_6.html#K6">inside_of_circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font></span>)</span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="jgraph_6.html#K5">circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="jgraph_6.html#K7">closed_inside_of_circle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">r</font>
 <b>by </b><i><a class="ref" href="topreal9.html#T2" target="_self">Th2</a>, <a class="txt" href="topreal9.html#E2:75"><i><font color="Green">E42</font></i></a>, <a class="ref" href="metric_1.html#T17">METRIC_1:17</a></i>;<br/>


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