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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="seqfunc.html#M1" target="_self">Functional_Sequence</a> of <font color="Maroon">c<sub>1</sub></font>, <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><a NAME="E1:52"/>
<font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#R2" target="_self">is_point_conv_on</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:52"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="seqfunc.html#R1" target="_self">common_on_dom</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="seqfunc.html#D12" target="_self">Def12</a></i>;<br/>
<b>hence </b><a NAME="E3:52"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>3</sub></font> holds <br/>( <span class="p1">(<span class="default"><a href="seqfunc.html#K5" target="_self">abs</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="seq_1.html#K22">abs</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font></span>)</span> &amp; <span class="p1">(<span class="default"><a href="seqfunc.html#K4" target="_self">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="seq_1.html#K17">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font></span>)</span> )
 <b>by </b><i><a class="ref" href="seqfunc.html#T33" target="_self">Th33</a></i>;<br/>


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