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<b>let </b><font color="Maroon">it1</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">X</font>, <font color="Maroon">it2</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">X</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:48_1_2"/>
 <a href="polynom1.html#K11">support</a> <font color="Maroon">it1</font> <a href="hidden.html#R1">=</a>  <a href="polynom1.html#K11">support</a> <font color="Maroon">b</font>
 <b>and </b><br/><a NAME="E2:48_1_2"/><i><font color="Green">E103</font></i>: 
for <font color="Olive">i</font> being   <a href="hidden.html#M1">set</a>  holds  <font color="Maroon">it1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="seq_1.html#K1">.</a> <font color="Olive">i</font></span>)</span> <a href="newton.html#K3">|^</a> <font color="Maroon">n</font>
 <b>and </b><br/><a NAME="E3:48_1_2"/>
 <a href="polynom1.html#K11">support</a> <font color="Maroon">it2</font> <a href="hidden.html#R1">=</a>  <a href="polynom1.html#K11">support</a> <font color="Maroon">b</font>
 <b>and </b><br/><a NAME="E4:48_1_2"/><i><font color="Green">E104</font></i>: 
for <font color="Olive">i</font> being   <a href="hidden.html#M1">set</a>  holds  <font color="Maroon">it2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="seq_1.html#K1">.</a> <font color="Olive">i</font></span>)</span> <a href="newton.html#K3">|^</a> <font color="Maroon">n</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="48_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:48_1_2_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 ;<br/><b>thus </b><font color="Maroon">it1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
<span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="seq_1.html#K1">.</a> <font color="Maroon">x</font></span>)</span> <a href="newton.html#K3">|^</a> <font color="Maroon">n</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">it2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E6:48_1_2"/>
<font color="Maroon">it1</font> <a href="pboole.html#R6">=</a> <font color="Maroon">it2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


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