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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">T</font> be   <a href="bagorder.html#NM1">TermOrder</a> of <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">b1</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>, <font color="Maroon">b2</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>, <font color="Maroon">b3</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>;<br/>





<b>assume </b><a NAME="E1:3"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">b1</font> <a href="termord.html#R1">&lt;=</a> <font color="Maroon">b2</font>,<font color="Maroon">T</font> &amp; <font color="Maroon">b2</font> <a href="termord.html#R2">&lt;</a> <font color="Maroon">b3</font>,<font color="Maroon">T</font> )
 ;<br/>

<a NAME="E2:3"/><b>then </b><i><font color="Green">E40</font></i>: 
( <font color="Maroon">b2</font> <a href="termord.html#R1">&lt;=</a> <font color="Maroon">b3</font>,<font color="Maroon">T</font> &amp; <font color="Maroon">b2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b3</font> )
 
<b>by </b><i><a class="ref" href="termord.html#D3">TERMORD:def 3</a></i>;<br/>
<a NAME="E3:3"/><b>then </b><i><font color="Green">E41</font></i>: 
<font color="Maroon">b1</font> <a href="termord.html#R1">&lt;=</a> <font color="Maroon">b3</font>,<font color="Maroon">T</font>
 
<b>by </b><i>, <a class="ref" href="termord.html#T8">TERMORD:8</a></i>;<br/>
<a NAME="E4:3"/>
<font color="Maroon">b1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b3</font>
 
<b>by </b><i>, , <a class="ref" href="termord.html#T7">TERMORD:7</a></i>;<br/>
<b>hence </b><a NAME="E5:3"/>
<font color="Maroon">b1</font> <a href="termord.html#R2">&lt;</a> <font color="Maroon">b3</font>,<font color="Maroon">T</font>
 <b>by </b><i>, <a class="ref" href="termord.html#D3">TERMORD:def 3</a></i>;<br/>


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