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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:103"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E2:103"/><b>then </b>
( ( <font color="Maroon">c<sub>2</sub></font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">c<sub>3</sub></font> or <font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#R6">=</a> <font color="Maroon">c<sub>3</sub></font> ) &amp; ( <font color="Maroon">c<sub>3</sub></font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">c<sub>4</sub></font> or <font color="Maroon">c<sub>3</sub></font> <a href="pboole.html#R6">=</a> <font color="Maroon">c<sub>4</sub></font> ) )
 
<b>by </b><i><a class="ref" href="polynom1.html#D12" target="_self">Def12</a></i>;<br/>
<a NAME="E3:103"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> <a href="polynom1.html#R1" target="_self">&lt;</a> <font color="Maroon">c<sub>4</sub></font> or <font color="Maroon">c<sub>2</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="polynom1.html#T45" target="_self">Th45</a></i>;<br/>
<b>hence </b><a NAME="E4:103"/>
<font color="Maroon">c<sub>2</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D12" target="_self">Def12</a></i>;<br/>


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