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<b>set </b><font color="Maroon">O</font> = <font color="Maroon">T</font>;<br/>
<b>set </b><font color="Maroon">a</font> =  <a href="termord.html#K4" target="_self">HC</a> <font color="Maroon">p</font>,<font color="Maroon">T</font>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="38_2_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:38_2_1_1"/>
 <a href="termord.html#K4" target="_self">HC</a> <font color="Maroon">p</font>,<font color="Maroon">T</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">L</font>
 ;<br/><a NAME="E2:38_2_1_1"/><b>then </b>
<font color="Maroon">p</font> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3" target="_self">HT</a> <font color="Maroon">p</font>,<font color="Maroon">T</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">L</font>
 ;<br/><a NAME="E3:38_2_1_1"/><b>then </b>
not  <a href="termord.html#K3" target="_self">HT</a> <font color="Maroon">p</font>,<font color="Maroon">T</font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <font color="Maroon">p</font>
 <b>by </b><i><a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><a NAME="E4:38_2_1_1"/><b>then </b>
 <a href="polynom1.html#K12">Support</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i/>;<br/><a NAME="E5:38_2_1_1"/><b>then </b>
<font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">n</font>,<font color="Maroon">L</font>
 <b>by </b><i><a class="ref" href="polynom7.html#T1">POLYNOM7:1</a></i>;<br/><b>hence </b><a NAME="E6:38_2_1_1"/>
contradiction
 <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:38_2_1"/>
 <a href="termord.html#K4" target="_self">HC</a> <font color="Maroon">p</font>,<font color="Maroon">T</font> is <a href="rlvect_1.html#V8">non-zero</a>
 <b>by </b><i><a class="ref" href="rlvect_1.html#D13">RLVECT_1:def 13</a></i>;<br/>


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