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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nfcont_1.html#NM1">PartFunc</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>







<b>assume </b><a NAME="E1:7"/><i><font color="Green">E5</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="nfcont_2.html#R1" target="_self">is_uniformly_continuous_on</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:7"/>
 <a href="vfunct_1.html#K6">-</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="vfunct_1.html#K4">(#)</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="vfunct_1.html#T29">VFUNCT_1:29</a></i>;<br/>
<b>hence </b><a NAME="E3:7"/>
 <a href="vfunct_1.html#K6">-</a> <font color="Maroon">c<sub>4</sub></font> <a href="nfcont_2.html#R1" target="_self">is_uniformly_continuous_on</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="nfcont_2.html#E1:7"><i><font color="Green">E5</font></i></a>, <a class="ref" href="nfcont_2.html#T4" target="_self">Th4</a></i>;<br/>


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