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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/>

<a NAME="E1:46"/><i><font color="Green" title="E29">A1</font></i>: 
for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being  <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of <font color="Maroon" title="c1">n</font>  st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="bagorder.html#NK4" title="BAGORDER:NK.4">LexOrder</a> <font color="Maroon" title="c1">n</font> holds <br/><span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">a</font> <a href="polynom1.html#K9" title="POLYNOM1:func.9">+</a> <font color="Olive" title="b3">c</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b2">b</font> <a href="polynom1.html#K9" title="POLYNOM1:func.9">+</a> <font color="Olive" title="b3">c</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="bagorder.html#NK4" title="BAGORDER:NK.4">LexOrder</a> <font color="Maroon" title="c1">n</font>
 
<b>by </b><i><a class="ref" href="bagorder.html#D7" target="_self" title="BAGORDER:def.7">Def7</a></i>;<br/>
<a NAME="E2:46"/>
 <a href="bagorder.html#NK4" title="BAGORDER:NK.4">LexOrder</a> <font color="Maroon" title="c1">n</font> <a href="relat_2.html#R7" title="RELAT_2:pred.7">is_strongly_connected_in</a>  <a href="polynom1.html#K14" title="POLYNOM1:func.14">Bags</a> <font color="Maroon" title="c1">n</font>
 
<b>by </b><i><a class="ref" href="bagorder.html#D7" target="_self" title="BAGORDER:def.7">Def7</a></i>;<br/>
<b>hence </b><a NAME="E3:46"/>
 <a href="bagorder.html#K6" title="BAGORDER:func.6">GrLexOrder</a> <font color="Maroon" title="c1">n</font> is <a href="bagorder.html#V2" title="BAGORDER:attr.2">admissible</a>
 <b>by </b><i><a class="txt" href="bagorder.html#E1:46"><i><font color="Green" title="E29">A1</font></i></a>, <a class="ref" href="bagorder.html#T27" target="_self" title="BAGORDER:th.27">Th27</a></i>;<br/>


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