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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>, <font color="Maroon">c<sub>3</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>4</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>







<b>assume </b><a NAME="E1:51"/><i><font color="Green">E36</font></i>: 
( <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>4</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="seqfunc.html#R2" target="_self">is_point_conv_on</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E2:51"/><b>then </b><i><font color="Green">E37</font></i>: 
<font color="Maroon">c<sub>4</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/>
<a NAME="E3:51"/>
<font color="Maroon">c<sub>4</sub></font> <a href="seqfunc.html#R1" target="_self">common_on_dom</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="seqfunc.html#E1:51"><i><font color="Green">E36</font></i></a>, <a class="ref" href="seqfunc.html#D12" target="_self">Def12</a></i>;<br/>
<b>hence </b><a NAME="E4:51"/>
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>4</sub></font> holds <br/>( <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> <a href="seq_1.html#K9">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#K6" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font> &amp; <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> <a href="seq_1.html#K10">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#K7" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font> &amp; <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> <a href="seq_1.html#K11">(#)</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="seqfunc.html#K8" target="_self">(#)</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="seqfunc.html#K10" target="_self">#</a> <font color="Olive">b<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="seqfunc.html#E2:51"><i><font color="Green">E37</font></i></a>, <a class="ref" href="seqfunc.html#T32" target="_self">Th32</a></i>;<br/>


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