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<span class="kw">consider </span><font color="Maroon" title="c3">p1</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Maroon" title="c1">L</font><span class="kw"> such that </span><br/><a NAME="E2:50_2_1"/><span class="lab"><font color="Green" title="E15">A3</font></span>: 
 ex <font color="Olive" title="b1">p2</font> being   non  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Maroon" title="c1">L</font> st <font color="Maroon" title="c2">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">[</a><span class="default"><font color="Maroon" title="c3">p1</font>,<font color="Olive" title="b1">p2</font></span><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ratfunc1.html#D8" target="_self" onmouseover="rs('ratfunc1/D8')" onmouseout="rh()">Def8</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">p2</font> being   non  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Maroon" title="c1">L</font><span class="kw"> such that </span><br/><a NAME="E4:50_2_1"/><span class="lab"><font color="Green" title="E16">A4</font></span>: 
<font color="Maroon" title="c2">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">[</a><span class="default"><font color="Maroon" title="c3">p1</font>,<font color="Maroon" title="c4">p2</font></span><a href="ratfunc1.html#K3" title="RATFUNC1:func.3">]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:50_2_1"><span class="lab"><font color="Green" title="E15">A3</font></span></a></span>;<br/>
<span class="kw">thus </span><a NAME="E5:50_2_1"/>
<font color="Maroon" title="c2">z</font> <a href="xtuple_0.html#K2" title="XTUPLE_0:func.2">`2</a>  is   non  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Maroon" title="c1">L</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:50_2_1"><span class="lab"><font color="Green" title="E16">A4</font></span></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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