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<span class="kw">let </span><font color="Maroon" title="c2">p</font> be   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Maroon" title="c1">R</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">p</font> is  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  implies  not <font color="Maroon" title="c2">p</font> is  <a href="field_5.html#V1" title="FIELD_5:attr.1">linear</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:22_1_1"/>
<font color="Maroon" title="c2">p</font> is  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c2">p</font> is  <a href="field_5.html#V1" title="FIELD_5:attr.1">linear</a> </span><br/>

<a NAME="E2:22_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c2">p</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polynom3.html#K8" title="POLYNOM3:func.8">0_.</a> <font color="Maroon" title="c1">R</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="uproots.html#D5" onmouseover="rs('uproots/D5')" onmouseout="rh()">UPROOTS:def 5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:22_1_1"/>
 not <font color="Maroon" title="c2">p</font> is  <a href="field_5.html#V1" title="FIELD_5:attr.1">linear</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="hurwitz.html#T20" onmouseover="rs('hurwitz/T20')" onmouseout="rh()">HURWITZ:20</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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