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<b>let </b><font color="Maroon">n</font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>, <font color="Maroon">q</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>, <font color="Maroon">r</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:105"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">p</font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">q</font>
 <b>and </b><br/><a NAME="E2:105"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">q</font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">r</font>
 ;<br/>

<a NAME="E3:105"/>
( <font color="Maroon">p</font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">q</font> or <font color="Maroon">p</font> <a href="pboole.html#R6">=</a> <font color="Maroon">q</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:105"/>
<font color="Maroon">p</font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">r</font>
 <b>by </b><i>, </i>;<br/>


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