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<b>let </b><font color="Maroon">V</font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">r</font> be   <a href="real_1.html#NM1">Real</a>;<br/>





<a NAME="E1:42"/>
for <font color="Olive">u</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">V</font>  st <font color="Olive">u</font> <a href="hidden.html#R2">in</a>  <a href="bhsp_2.html#K4">Ball</a> <font color="Maroon">v</font>,<font color="Maroon">r</font> holds <br/> ex <font color="Olive">p</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Olive">p</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp;  <a href="bhsp_2.html#K4">Ball</a> <font color="Olive">u</font>,<font color="Olive">p</font> <a href="tarski.html#R1">c=</a>  <a href="bhsp_2.html#K4">Ball</a> <font color="Maroon">v</font>,<font color="Maroon">r</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:42"/>
 <a href="bhsp_2.html#K4">Ball</a> <font color="Maroon">v</font>,<font color="Maroon">r</font> <a href="hidden.html#R2">in</a>  <a href="rusub_5.html#K4" target="_self">Family_open_set</a> <font color="Maroon">V</font>
 <b>by </b><i/>;<br/>


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