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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">a</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>, <font color="Maroon">b</font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font>;<br/>



<b>assume </b><a NAME="E1:24"/>
<font color="Maroon">b</font> <a href="polynom1.html#R3">divides</a> <font color="Maroon">a</font>
 ;<br/>

<a NAME="E2:24"/><b>then </b><i><font color="Green">E30</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="polynom1.html#K10">-'</a> <font color="Maroon">b</font></span>)</span> <a href="polynom1.html#K9">+</a> <font color="Maroon">b</font> <a href="pboole.html#R6">=</a> <font color="Maroon">a</font>
 
<b>by </b><i><a class="ref" href="polynom1.html#T51">POLYNOM1:51</a></i>;<br/>
<a NAME="E3:24"/>
 <a href="bagorder.html#K3" target="_self">TotDegree</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="polynom1.html#K10">-'</a> <font color="Maroon">b</font></span>)</span> <a href="polynom1.html#K9">+</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="bagorder.html#K3" target="_self">TotDegree</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="polynom1.html#K10">-'</a> <font color="Maroon">b</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><a href="bagorder.html#K3" target="_self">TotDegree</a> <font color="Maroon">b</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:24"/>
 <a href="bagorder.html#K3" target="_self">TotDegree</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="polynom1.html#K10">-'</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="bagorder.html#K3" target="_self">TotDegree</a> <font color="Maroon">a</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="bagorder.html#K3" target="_self">TotDegree</a> <font color="Maroon">b</font></span>)</span>
 <b>by </b><i/>;<br/>


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