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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a> <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font>;<br/>
<a NAME="E1:56"/><i><font color="Green">E49</font></i>: 
 <a href="polynom5.html#K6">Roots</a> <span class="p1">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="uniroots.html#K2" target="_self">-roots_of_1</a> 
 
<b>by </b><i><a class="ref" href="uniroots.html#T46" target="_self">Th46</a></i>;<br/>
<a NAME="E2:56"/><i><font color="Green">E50</font></i>: 
 <a href="polynom1.html#K11">support</a> <span class="p1">(<span class="default"><a href="uproots.html#K8">BRoots</a> <span class="p2">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="polynom5.html#K6">Roots</a> <span class="p1">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="uproots.html#D9">UPROOTS:def 9</a></i>;<br/>
<i><font color="Green">E51</font></i>:  <a href="uproots.html#K4">degree</a> <span class="p1">(<span class="default"><a href="uproots.html#K8">BRoots</a> <span class="p2">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="algseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K5">-'</a> 1
<b>by </b><i><a class="ref" href="uproots.html#T61">UPROOTS:61</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span> <a href="binarith.html#K5">-'</a> 1
<b>by </b><i><a class="ref" href="uniroots.html#T44" target="_self">Th44</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="binarith.html#T39">BINARITH:39</a></i>
;<br/>
<a NAME="E4:56"/>
 <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="uniroots.html#K2" target="_self">-roots_of_1</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="uniroots.html#T30" target="_self">Th30</a></i>;<br/>
<b>hence </b><a NAME="E5:56"/>
 <a href="uproots.html#K8">BRoots</a> <span class="p1">(<span class="default"><a href="uniroots.html#K4" target="_self">unital_poly</a> <a href="complfld.html#K1">F_Complex</a> ,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="uniroots.html#K2" target="_self">-roots_of_1</a> </span>)</span>,1 <a href="uproots.html#K2">-bag</a> 
 <b>by </b><i><a class="txt" href="uniroots.html#E1:56"><i><font color="Green">E49</font></i></a>, <a class="txt" href="uniroots.html#E2:56"><i><font color="Green">E50</font></i></a>, <a class="txt" href="uniroots.html#E3:56"><i><font color="Green">E51</font></i></a>, <a class="ref" href="uproots.html#T15">UPROOTS:15</a></i>;<br/>


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