<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">it1</font> be   <a href="polynom1.html#NM1">bag</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>, <font color="Maroon">it2</font> be   <a href="polynom1.html#NM1">bag</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:75_1_2"/>
 <a href="polynom1.html#K11">support</a> <font color="Maroon">it1</font> <a href="hidden.html#R1">=</a>  <a href="polynom5.html#K6">Roots</a> <font color="Maroon">p</font>
 <b>and </b><br/><a NAME="E2:75_1_2"/><i><font color="Green">E52</font></i>: 
for <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds  <font color="Maroon">it1</font> <a href="polynom1.html#K8">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a>  <a href="uproots.html#K7" target="_self">multiplicity</a> <font color="Maroon">p</font>,<font color="Olive">x</font>
 <b>and </b><br/><a NAME="E3:75_1_2"/>
 <a href="polynom1.html#K11">support</a> <font color="Maroon">it2</font> <a href="hidden.html#R1">=</a>  <a href="polynom5.html#K6">Roots</a> <font color="Maroon">p</font>
 <b>and </b><br/><a NAME="E4:75_1_2"/><i><font color="Green">E53</font></i>: 
for <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds  <font color="Maroon">it2</font> <a href="polynom1.html#K8">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a>  <a href="uproots.html#K7" target="_self">multiplicity</a> <font color="Maroon">p</font>,<font color="Olive">x</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="75_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="E1:75_1_2_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>
 ;<br/><b>then reconsider </b><font color="Maroon">xx</font> = <font color="Maroon">x</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> ;<br/><b>thus </b><font color="Maroon">it1</font> <a href="polynom1.html#K8">.</a> <font color="Maroon">x</font> = 
 <a href="uproots.html#K7" target="_self">multiplicity</a> <font color="Maroon">p</font>,<font color="Maroon">xx</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">it2</font> <a href="polynom1.html#K8">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E6:75_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/>


</div>
