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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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">T</font> being  <a href="bagorder.html#NM1" title="BAGORDER:NM.1">TermOrder</a> of <font color="Maroon" title="c1">n</font><br/> for <font color="Olive" title="b2">b</font> being  <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of <font color="Maroon" title="c1">n</font> holds <br/> (  <a href="termord.html#K1" title="TERMORD:func.1">min</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b2">b</font> &amp;  <a href="termord.html#K2" title="TERMORD:func.2">max</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b2">b</font> )</span><br/><b>let </b><font color="Maroon" title="c2">T</font> be   <a href="bagorder.html#NM1" title="BAGORDER:NM.1">TermOrder</a> of <font color="Maroon" title="c1">n</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">b</font> being  <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of <font color="Maroon" title="c1">n</font> holds <br/> (  <a href="termord.html#K1" title="TERMORD:func.1">min</a> <font color="Olive" title="b1">b</font>,<font color="Olive" title="b1">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b1">b</font> &amp;  <a href="termord.html#K2" title="TERMORD:func.2">max</a> <font color="Olive" title="b1">b</font>,<font color="Olive" title="b1">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b1">b</font> )</span><br/><b>let </b><font color="Maroon" title="c3">b</font> be   <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of <font color="Maroon" title="c1">n</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="termord.html#K1" title="TERMORD:func.1">min</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">b</font> &amp;  <a href="termord.html#K2" title="TERMORD:func.2">max</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">b</font> )</span><br/>





<b>thus </b><a NAME="E1:26"/>
 <a href="termord.html#K1" title="TERMORD:func.1">min</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="ref" href="termord.html#D4" target="_self" title="TERMORD:def.4">Def4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="termord.html#K2" title="TERMORD:func.2">max</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">b</font></span><br/>

<b>thus </b><a NAME="E2:26"/>
 <a href="termord.html#K2" title="TERMORD:func.2">max</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">T</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="ref" href="termord.html#D5" target="_self" title="TERMORD:def.5">Def5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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