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<b>let </b><font color="Maroon" title="c1">n</font> be   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>;<br/><b>let </b><font color="Maroon" title="c2">p</font>, <font color="Maroon" title="c3">q</font>, <font color="Maroon" title="c4">r</font> be   <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of <font color="Maroon" title="c1">n</font>;<br/>



<b>assume </b><a NAME="E1:96"/>
( <font color="Maroon" title="c2">p</font> <a href="polynom1.html#R2" title="POLYNOM1:pred.2">&lt;='</a> <font color="Maroon" title="c3">q</font> &amp; <font color="Maroon" title="c3">q</font> <a href="polynom1.html#R2" title="POLYNOM1:pred.2">&lt;='</a> <font color="Maroon" title="c4">r</font> )
 ;<br/>

<a NAME="E2:96"/><b>then </b>
( ( <font color="Maroon" title="c2">p</font> <a href="polynom1.html#R1" title="POLYNOM1:pred.1">&lt;</a> <font color="Maroon" title="c3">q</font> or <font color="Maroon" title="c2">p</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">q</font> ) &amp; ( <font color="Maroon" title="c3">q</font> <a href="polynom1.html#R1" title="POLYNOM1:pred.1">&lt;</a> <font color="Maroon" title="c4">r</font> or <font color="Maroon" title="c3">q</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c4">r</font> ) )
 
<b>by </b><i><a class="ref" href="polynom1.html#D12" target="_self" title="POLYNOM1:def.12">Def12</a></i>;<br/>
<a NAME="E3:96"/><b>then </b>
( <font color="Maroon" title="c2">p</font> <a href="polynom1.html#R1" title="POLYNOM1:pred.1">&lt;</a> <font color="Maroon" title="c4">r</font> or <font color="Maroon" title="c2">p</font> <a href="polynom1.html#R2" title="POLYNOM1:pred.2">&lt;='</a> <font color="Maroon" title="c4">r</font> )
 
<b>by </b><i><a class="ref" href="polynom1.html#T45" target="_self" title="POLYNOM1:th.45">Th45</a></i>;<br/>
<b>hence </b><a NAME="E4:96"/>
<font color="Maroon" title="c2">p</font> <a href="polynom1.html#R2" title="POLYNOM1:pred.2">&lt;='</a> <font color="Maroon" title="c4">r</font>
 <b>by </b><i><a class="ref" href="polynom1.html#D12" target="_self" title="POLYNOM1:def.12">Def12</a></i>;<br/>


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