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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="relat_2.html#V6">connected</a> <a href="bagorder.html#V2">admissible</a> <a href="bagorder.html#NM1">TermOrder</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be  <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="group_1.html#V4">associative</a> <a href="group_1.html#V7">commutative</a> <a href="vectsp_1.html#V6">right_unital</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V8">left_unital</a> <a href="vectsp_1.html#V9">Field-like</a> non <a href="realset2.html#V3">trivial</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be   <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>







<b>assume </b><a NAME="E1:68"/><i><font color="Green">E59</font></i>: 
 <a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="groeb_2.html#R1">are_disjoint</a> 
 ;<br/>

<a NAME="E2:68"/><b>then </b><i><font color="Green">E60</font></i>: 
 <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="groeb_3.html#T54" target="_self">Th54</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:68_1_1"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> or <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_1"><b>case </b></a><a NAME="E1:68_1_1_1"/><i><font color="Green">E61</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><a NAME="E2:68_1_1_1"/><b>then </b><i><font color="Green">E62</font></i>: 
<span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>;<br/><a NAME="E3:68_1_1_1"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E1:68_1_1_1"><i><font color="Green">E61</font></i></a>, <a class="ref" href="groeb_3.html#T11" target="_self">Th11</a></i>;<br/><b>then </b> <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T87">POLYNOM1:87</a>, <a class="txt" href="groeb_3.html#E2:68_1_1_1"><i><font color="Green">E62</font></i></a>, <a class="txt" href="groeb_3.html#E2:68"><i><font color="Green">E60</font></i></a></i>
<br/>.= 
 <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><b>hence </b><a NAME="E5:68_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="rewrite1.html#T13">REWRITE1:13</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2"><b>case </b></a><a NAME="E1:68_1_1_2"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>4</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:68_1_1_2_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font></span><a href="groeb_1.html#K1">}</a></span>
 ;<br/><a NAME="E2:68_1_1_2_1"/><b>then </b>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><b>hence </b><a NAME="E3:68_1_1_2_1"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div><a NAME="E4:68_1_1_2"/><b>then </b>
<span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font></span><a href="groeb_1.html#K1">}</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/><a NAME="E5:68_1_1_2"/><b>then </b><i><font color="Green">E61</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a>  <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="groeb_1.html#T4">GROEB_1:4</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:68_1_1_2_2"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="groeb_1.html#K1">}</a></span>
 ;<br/><a NAME="E2:68_1_1_2_2"/><b>then </b>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><b>hence </b><a NAME="E3:68_1_1_2_2"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div><a NAME="E7:68_1_1_2"/><b>then </b>
<span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="groeb_1.html#K1">}</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/><a NAME="E8:68_1_1_2"/><b>then </b><i><font color="Green">E62</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a>  <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="groeb_1.html#T4">GROEB_1:4</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_3"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:68_1_1_2_3_1"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> or <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_1"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_1"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><a NAME="E2:68_1_1_2_3_1_1"/><b>then </b><i><font color="Green">E64</font></i>: 
<span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>5</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>;<br/><a NAME="E3:68_1_1_2_3_1_1"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E1:68_1_1_2_3_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="groeb_3.html#T11" target="_self">Th11</a></i>;<br/><b>then </b> <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_3.html#E2:68_1_1_2_3_1_1"><i><font color="Green">E64</font></i></a>, <a class="txt" href="groeb_3.html#E2:68"><i><font color="Green">E60</font></i></a>, <a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>
<br/>.= 
 <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><b>hence </b><a NAME="E5:68_1_1_2_3_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="rewrite1.html#T13">REWRITE1:13</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>5</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_3_1_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:68_1_1_2_3_1_2_1_1"/>
(  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_1"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_1"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><a NAME="E2:68_1_1_2_3_1_2_1_1_1"/><b>then </b><i><font color="Green">E63</font></i>: 
 <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="groeb_3.html#E2:68"><i><font color="Green">E60</font></i></a>, <a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_1_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:68_1_1_2_3_1_2_1_1_1_1_1"/>
(  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_1_1_1_1"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_1_1_1_1"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then </b> <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_3.html#E2:68_1_1_2_3_1_2_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>
<br/>.= 
 <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><b>hence </b><a NAME="E3:68_1_1_2_3_1_2_1_1_1_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="rewrite1.html#T13">REWRITE1:13</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_1_1_1_2"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_1_1_1_2"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>8</sub></font> =  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/><a NAME="E3:68_1_1_2_3_1_2_1_1_1_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>6</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>6</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="groeb_3.html#T51" target="_self">Th51</a></i>;<br/><a NAME="E4:68_1_1_2_3_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>6</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>, <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="groeb_3.html#T49" target="_self">Th49</a></i>;<br/><a NAME="E5:68_1_1_2_3_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>6</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="groeb_3.html#T13" target="_self">Th13</a></i>;<br/><a NAME="E6:68_1_1_2_3_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E2:68_1_1_2_3_1_2_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="groeb_3.html#T14" target="_self">Th14</a></i>;<br/><b>hence </b><a NAME="E7:68_1_1_2_3_1_2_1_1_1_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E5:68_1_1_2"><i><font color="Green">E61</font></i></a>, <a class="ref" href="rewrite1.html#T23">REWRITE1:23</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E4:68_1_1_2_3_1_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_2"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_2"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>8</sub></font> =  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:68_1_1_2_3_1_2_1_1_2_1_1"/>
(  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_2_1_1_1"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_2_1_1_1"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><a NAME="E2:68_1_1_2_3_1_2_1_1_2_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R2">=</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>;<br/><b>then </b><i><font color="Green">E63</font></i>:  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_3.html#E1:68"><i><font color="Green">E59</font></i></a>, <a class="ref" href="groeb_3.html#T54" target="_self">Th54</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><a NAME="E4:68_1_1_2_3_1_2_1_1_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>7</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>7</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="groeb_3.html#T51" target="_self">Th51</a></i>;<br/><b>hence </b><a NAME="E5:68_1_1_2_3_1_2_1_1_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E3:68_1_1_2_3_1_2_1_1_2_1_1_1"><i><font color="Green">E63</font></i></a>, <a class="txt" href="groeb_3.html#E8:68_1_1_2"><i><font color="Green">E62</font></i></a>, <a class="ref" href="rewrite1.html#T23">REWRITE1:23</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="68_1_1_2_3_1_2_1_1_2_1_1_2"><b>case </b></a><a NAME="E1:68_1_1_2_3_1_2_1_1_2_1_1_2"/>
 <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>9</sub></font> =  <a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="polynom7.html#D2">POLYNOM7:def 2</a></i>;<br/><a NAME="E3:68_1_1_2_3_1_2_1_1_2_1_1_2"/>
 <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K5">HM</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K5">HM</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>9</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="groeb_3.html#E1:68"><i><font color="Green">E59</font></i></a>, <a class="ref" href="groeb_3.html#T53" target="_self">Th53</a></i>;<br/><a NAME="E4:68_1_1_2_3_1_2_1_1_2_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="polynom1.html#K29">*'</a> <span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="groeb_3.html#E1:68"><i><font color="Green">E59</font></i></a>, <a class="ref" href="groeb_3.html#T55" target="_self">Th55</a></i>;<br/><a NAME="E5:68_1_1_2_3_1_2_1_1_2_1_1_2"/><b>then </b><i><font color="Green">E63</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="polynom1.html#K29">*'</a> <span class="p1">(<span class="default"><a href="termord.html#K6">Red</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="groeb_3.html#E5:68_1_1_2"><i><font color="Green">E61</font></i></a>, <a class="ref" href="rewrite1.html#T23">REWRITE1:23</a></i>;<br/><a NAME="E6:68_1_1_2_3_1_2_1_1_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="groeb_1.html#K1">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>7</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="groeb_3.html#T51" target="_self">Th51</a></i>;<br/><a NAME="E7:68_1_1_2_3_1_2_1_1_2_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>7</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E8:68_1_1_2"><i><font color="Green">E62</font></i></a>, <a class="ref" href="rewrite1.html#T23">REWRITE1:23</a></i>;<br/><b>hence </b><a NAME="E8:68_1_1_2_3_1_2_1_1_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E5:68_1_1_2_3_1_2_1_1_2_1_1_2"><i><font color="Green">E63</font></i></a>, <a class="ref" href="rewrite1.html#T17">REWRITE1:17</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E4:68_1_1_2_3_1_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E4:68_1_1_2_3_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E10:68_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E4:68"/>
 <a href="polyred.html#K3">PolyRedRel</a> <span class="p1"><a href="groeb_3.html#K1" target="_self">{</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="groeb_3.html#K1" target="_self">}</a></span>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a>  <a href="groeb_2.html#K3">S-Poly</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/>


</div>
