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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="normsp_1.html#NM2">sequence</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:33"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="funct_1.html#V3">constant</a>
 ;<br/>

<a NAME="E2:33"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is <a href="tbsp_1.html#V2">convergent</a>
 
<b>by </b><i><a class="ref" href="metric_6.html#T38" target="_self">Th38</a></i>;<br/>
<b>hence </b><a NAME="E3:33"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="tbsp_1.html#V3">Cauchy</a>
 <b>by </b><i><a class="ref" href="tbsp_1.html#T7">TBSP_1:7</a></i>;<br/>


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