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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>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="polynom1.html#K17" target="_self">BagOrder</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="relat_2.html#D8">RELAT_2:def 8</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:132"/><i><font color="Green">E72</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K14" target="_self">Bags</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K14" target="_self">Bags</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K14" target="_self">Bags</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>and </b><br/><a NAME="E2:132"/><i><font color="Green">E73</font></i>: 
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K17" target="_self">BagOrder</a> <font color="Maroon">c<sub>1</sub></font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K17" target="_self">BagOrder</a> <font color="Maroon">c<sub>1</sub></font> )
 ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>4</sub></font> as   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="txt" href="polynom1.html#E1:132"><i><font color="Green">E72</font></i></a>, <a class="ref" href="polynom1.html#D14" target="_self">Def14</a></i>;<br/>
<a NAME="E4:132"/><i><font color="Green">E74</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>7</sub></font>
 
<b>by </b><i><a class="txt" href="polynom1.html#E2:132"><i><font color="Green">E73</font></i></a>, <a class="ref" href="polynom1.html#D16" target="_self">Def16</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>8</sub></font> = <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>9</sub></font> = <font color="Maroon">c<sub>5</sub></font> as   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="txt" href="polynom1.html#E1:132"><i><font color="Green">E72</font></i></a>, <a class="ref" href="polynom1.html#D14" target="_self">Def14</a></i>;<br/>
<a NAME="E6:132"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>9</sub></font>
 
<b>by </b><i><a class="txt" href="polynom1.html#E2:132"><i><font color="Green">E73</font></i></a>, <a class="ref" href="polynom1.html#D16" target="_self">Def16</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>10</sub></font> = <font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>9</sub></font> as   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E8:132"/>
<font color="Maroon">c<sub>10</sub></font> <a href="polynom1.html#R2" target="_self">&lt;='</a> <font color="Maroon">c<sub>11</sub></font>
 
<b>by </b><i><a class="txt" href="polynom1.html#E4:132"><i><font color="Green">E74</font></i></a>, <a class="txt" href="polynom1.html#E6:132"><i><font color="Green">E75</font></i></a>, <a class="ref" href="polynom1.html#T46" target="_self">Th46</a></i>;<br/>
<b>hence </b><a NAME="E9:132"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K17" target="_self">BagOrder</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D16" target="_self">Def16</a></i>;<br/>


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