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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="metric_1.html#NM1">MetrSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>





<a NAME="E1:69"/><i><font color="Green">E35</font></i>: 
 <a href="metric_1.html#K11">Sphere</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a>  <a href="metric_1.html#K10">cl_Ball</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="metric_1.html#T16">METRIC_1:16</a></i>;<br/>
<a NAME="E2:69"/>
 <a href="metric_1.html#K10">cl_Ball</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> is <a href="tbsp_1.html#V6">bounded</a>
 
<b>by </b><i><a class="ref" href="topreal6.html#T67" target="_self">Th67</a></i>;<br/>
<b>hence </b><a NAME="E3:69"/>
 <a href="metric_1.html#K11">Sphere</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> is <a href="tbsp_1.html#V6">bounded</a>
 <b>by </b><i><a class="txt" href="topreal6.html#E1:69"><i><font color="Green">E35</font></i></a>, <a class="ref" href="tbsp_1.html#T21">TBSP_1:21</a></i>;<br/>


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