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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</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  non <a href="struct_0.html#V3">empty</a> <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#V2">unital</a> <a href="group_1.html#V4">associative</a> <a href="group_1.html#V7">commutative</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V9">Field-like</a> non <a href="vectsp_1.html#V10">degenerated</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/>







<b>assume </b><a NAME="E1:27"/>
not  <a href="polynom1.html#K26">0_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<b>assume </b><a NAME="E2:27"/><i><font color="Green">E16</font></i>: 
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being  <a href="polynom1.html#NM4">Polynomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b<sub>2</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> holds <br/>for <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being  <a href="polynom7.html#NM1">Monomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> st  <a href="termord.html#K5">HM</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Olive">b<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="termord.html#K5">HM</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>4</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Olive">b<sub>2</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> holds <br/> <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>4</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Olive">b<sub>2</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>
 ;<br/>

<b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:27_1"/><i><font color="Green">E17</font></i>: 
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 ;<br/><b>then consider </b><font color="Maroon">c<sub>9</sub></font>, <font color="Maroon">c<sub>10</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:27_1"/><i><font color="Green">E18</font></i>: 
( <font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><span class="p2">(<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></span><a href="groeb_1.html#K1">}</a></span> &amp; <font color="Maroon">c<sub>10</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font></span><a href="tarski.html#K4">]</a></span> )
 <b>by </b><i><a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>11</sub></font> = <font color="Maroon">c<sub>10</sub></font> as   <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="txt" href="groeb_2.html#E3:27_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="polynom1.html#D27">POLYNOM1:def 27</a></i>;<br/><a NAME="E5:27_1"/><i><font color="Green">E19</font></i>: 
( <font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> &amp; not <font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><span class="p2">(<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></span><a href="groeb_1.html#K1">}</a></span> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E3:27_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><b>then reconsider </b><font color="Maroon">c<sub>12</sub></font> = <font color="Maroon">c<sub>9</sub></font> as   <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="polynom1.html#D27">POLYNOM1:def 27</a></i>;<br/><a NAME="E7:27_1"/>
<font color="Maroon">c<sub>12</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>
 <b>by </b><i><a class="txt" href="groeb_2.html#E5:27_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><b>then reconsider </b><font color="Maroon">c<sub>13</sub></font> = <font color="Maroon">c<sub>12</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/><b>consider </b><font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>15</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E10:27_1"/><i><font color="Green">E20</font></i>: 
( <font color="Maroon">c<sub>14</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1"><a href="groeb_1.html#K1">{</a><span class="default"><span class="p2">(<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></span><a href="groeb_1.html#K1">}</a></span> &amp; <font color="Maroon">c<sub>15</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font></span><a href="tarski.html#K4">]</a></span> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>16</sub></font> = <font color="Maroon">c<sub>15</sub></font> as   <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="txt" href="groeb_2.html#E10:27_1"><i><font color="Green">E20</font></i></a>, <a class="ref" href="polynom1.html#D27">POLYNOM1:def 27</a></i>;<br/><i><font color="Green">E21</font></i>: <font color="Maroon">c<sub>14</sub></font> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K1">`1</a> 
<b>by </b><i><a class="txt" href="groeb_2.html#E10:27_1"><i><font color="Green">E20</font></i></a>, <a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
<br/>.= 
<font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>11</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K1">`1</a> 
<b>by </b><i><a class="txt" href="groeb_2.html#E3:27_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font>
<b>by </b><i><a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
;<br/><i><font color="Green">E22</font></i>: <font color="Maroon">c<sub>11</sub></font> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K2">`2</a> 
<b>by </b><i><a class="txt" href="groeb_2.html#E3:27_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="mcart_1.html#D2">MCART_1:def 2</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="ref" href="mcart_1.html#D2">MCART_1:def 2</a></i>
;<br/><i><font color="Green">E23</font></i>: <font color="Maroon">c<sub>16</sub></font> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K2">`2</a> 
<b>by </b><i><a class="txt" href="groeb_2.html#E10:27_1"><i><font color="Green">E20</font></i></a>, <a class="ref" href="mcart_1.html#D2">MCART_1:def 2</a></i>
<br/>.= 
<font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="mcart_1.html#D2">MCART_1:def 2</a></i>
;<br/><i><font color="Green">E24</font></i>: <font color="Maroon">c<sub>14</sub></font> = 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="mcart_1.html#K1">`1</a> 
<b>by </b><i><a class="txt" href="groeb_2.html#E10:27_1"><i><font color="Green">E20</font></i></a>, <a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
<br/>.= 
<font color="Maroon">c<sub>6</sub></font>
<b>by </b><i><a class="ref" href="mcart_1.html#D1">MCART_1:def 1</a></i>
;<br/><a NAME="E16:27_1"/><i><font color="Green">E25</font></i>: 
( <font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R5">reduces_to</a> <font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R5">reduces_to</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1"><i><font color="Green">E17</font></i></a>, <a class="txt" href="groeb_2.html#E3:27_1"><i><font color="Green">E18</font></i></a>, <a class="txt" href="groeb_2.html#E10:27_1"><i><font color="Green">E20</font></i></a>, <a class="txt" href="groeb_2.html#E12:27_1"><i><font color="Green">E21</font></i></a>, <a class="ref" href="polyred.html#D13">POLYRED:def 13</a></i>;<br/><b>then consider </b><font color="Maroon">c<sub>17</sub></font> being   <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> such that </b><br/><a NAME="E18:27_1"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">c<sub>17</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R4">reduces_to</a> <font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>17</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="ref" href="polyred.html#D7">POLYRED:def 7</a></i>;<br/><b>consider </b><font color="Maroon">c<sub>18</sub></font> being   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E20:27_1"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R3">reduces_to</a> <font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>17</sub></font>,<font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="polyred.html#D6">POLYRED:def 6</a></i>;<br/><a NAME="E21:27_1"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">c<sub>17</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>
 <b>by </b><i><a class="txt" href="groeb_2.html#E20:27_1"><i><font color="Green">E27</font></i></a>, <a class="ref" href="polyred.html#D5">POLYRED:def 5</a></i>;<br/><b>then reconsider </b><font color="Maroon">c<sub>19</sub></font> = <font color="Maroon">c<sub>17</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/><b>consider </b><font color="Maroon">c<sub>20</sub></font> being   <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> such that </b><br/><a NAME="E24:27_1"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">c<sub>20</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R4">reduces_to</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E16:27_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="polyred.html#D7">POLYRED:def 7</a></i>;<br/><b>consider </b><font color="Maroon">c<sub>21</sub></font> being   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E26:27_1"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>13</sub></font> <a href="polyred.html#R3">reduces_to</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E24:27_1"><i><font color="Green">E29</font></i></a>, <a class="ref" href="polyred.html#D6">POLYRED:def 6</a></i>;<br/><a NAME="E27:27_1"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">c<sub>20</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>
 <b>by </b><i><a class="txt" href="groeb_2.html#E26:27_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="polyred.html#D5">POLYRED:def 5</a></i>;<br/><b>then reconsider </b><font color="Maroon">c<sub>22</sub></font> = <font color="Maroon">c<sub>20</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/><b>consider </b><font color="Maroon">c<sub>23</sub></font> being   <a href="polynom7.html#NM1">Monomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E30:27_1"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">c<sub>11</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> &amp; not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <font color="Maroon">c<sub>11</sub></font> &amp;  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R1">&lt;=</a>  <a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="groeb_1.html#T2">GROEB_1:2</a></i>;<br/><b>consider </b><font color="Maroon">c<sub>24</sub></font> being   <a href="polynom7.html#NM1">Monomial</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E32:27_1"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">c<sub>16</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> &amp; not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <font color="Maroon">c<sub>16</sub></font> &amp;  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R1">&lt;=</a>  <a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E24:27_1"><i><font color="Green">E29</font></i></a>, <a class="ref" href="groeb_1.html#T2">GROEB_1:2</a></i>;<br/><b>set </b><font color="Maroon">c<sub>25</sub></font> = <font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font>;<br/><b>set </b><font color="Maroon">c<sub>26</sub></font> = <font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:27_1_5_1"/>
( <font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#R1">=</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>24</sub></font> <a href="hidden.html#R1">=</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>23</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> &amp; <font color="Maroon">c<sub>24</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="27_1_5_1_1"><b>case </b></a><a NAME="E1:27_1_5_1_1"/>
<font color="Maroon">c<sub>23</sub></font> <a href="hidden.html#R1">=</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><font color="Maroon">c<sub>11</sub></font> = 
<font color="Maroon">c<sub>13</sub></font> <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_2.html#E30:27_1"><i><font color="Green">E32</font></i></a>, <a class="ref" href="polyred.html#T5">POLYRED:5</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><a NAME="E3:27_1_5_1_1"/><b>then </b>
(  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font> &amp;  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>8</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1"><i><font color="Green">E17</font></i></a>, <a class="txt" href="groeb_2.html#E12:27_1"><i><font color="Green">E21</font></i></a>, <a class="txt" href="groeb_2.html#E13:27_1"><i><font color="Green">E22</font></i></a>, <a class="txt" href="groeb_2.html#E15:27_1"><i><font color="Green">E24</font></i></a>, <a class="ref" href="rewrite1.html#T13">REWRITE1:13</a>, <a class="ref" href="rewrite1.html#T16">REWRITE1:16</a></i>;<br/><b>hence </b><a NAME="E4:27_1_5_1_1"/>
<font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="rewrite1.html#R5">are_convergent_wrt</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="rewrite1.html#D7">REWRITE1:def 7</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_2"><b>case </b></a><a NAME="E1:27_1_5_1_2"/>
<font color="Maroon">c<sub>24</sub></font> <a href="hidden.html#R1">=</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><font color="Maroon">c<sub>16</sub></font> = 
<font color="Maroon">c<sub>13</sub></font> <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_2.html#E32:27_1"><i><font color="Green">E33</font></i></a>, <a class="ref" href="polyred.html#T5">POLYRED:5</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font>
<b>by </b><i><a class="ref" href="polyred.html#T4">POLYRED:4</a></i>
;<br/><a NAME="E3:27_1_5_1_2"/><b>then </b>
(  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>7</sub></font> &amp;  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>7</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1"><i><font color="Green">E17</font></i></a>, <a class="txt" href="groeb_2.html#E12:27_1"><i><font color="Green">E21</font></i></a>, <a class="txt" href="groeb_2.html#E14:27_1"><i><font color="Green">E23</font></i></a>, <a class="txt" href="groeb_2.html#E15:27_1"><i><font color="Green">E24</font></i></a>, <a class="ref" href="rewrite1.html#T13">REWRITE1:13</a>, <a class="ref" href="rewrite1.html#T16">REWRITE1:16</a></i>;<br/><b>hence </b><a NAME="E4:27_1_5_1_2"/>
<font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="rewrite1.html#R5">are_convergent_wrt</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="rewrite1.html#D7">REWRITE1:def 7</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3"><b>case </b></a><a NAME="E1:27_1_5_1_3"/>
( <font color="Maroon">c<sub>23</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> &amp; <font color="Maroon">c<sub>24</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>27</sub></font> = <font color="Maroon">c<sub>23</sub></font>, <font color="Maroon">c<sub>28</sub></font> = <font color="Maroon">c<sub>24</sub></font> as  <a href="polynom7.html#V1">non-zero</a> <a href="polynom7.html#NM1">Monomial</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="E3:27_1_5_1_3"/>
( <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K9">+</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> &amp; <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K9">+</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> )
 <b>by </b><i><a class="ref" href="termord.html#T29">TERMORD:29</a></i>;<br/><a NAME="E4:27_1_5_1_3"/><b>then </b><i><font color="Green">E34</font></i>: 
( <font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</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> &amp; <font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</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> )
 <b>by </b><i><a class="ref" href="polynom7.html#T1">POLYNOM7:1</a></i>;<br/><a NAME="E5:27_1_5_1_3"/><i><font color="Green">E35</font></i>: 
(  <a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="txt" href="groeb_2.html#E21:27_1"><i><font color="Green">E28</font></i></a>, <a class="txt" href="groeb_2.html#E27:27_1"><i><font color="Green">E31</font></i></a>, <a class="ref" href="termord.html#T17">TERMORD:17</a></i>;<br/><i><font color="Green">E36</font></i>: <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E30:27_1"><i><font color="Green">E32</font></i></a>, <a class="txt" href="groeb_2.html#E32:27_1"><i><font color="Green">E33</font></i></a>, <a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>13</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T1">POLYRED:1</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>13</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80">POLYNOM1:80</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>13</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80">POLYNOM1:80</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>13</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80">POLYNOM1:80</a></i>
<br/>.= 
<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#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T3">POLYRED:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T2">POLYRED:2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
;<br/><a NAME="E7:27_1_5_1_3"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2"><b>proof </b></a><div class="add">

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:27_1_5_1_3_2_1_1"/>
( <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="hidden.html#R1">=</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 <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <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="27_1_5_1_3_2_1_1_1"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="hidden.html#R1">=</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>hence </b><a NAME="E2:27_1_5_1_3_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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_2.html#E6:27_1_5_1_3"><i><font color="Green">E36</font></i></a>, <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="27_1_5_1_3_2_1_1_2"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2"/><i><font color="Green">E37</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <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"><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_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="E1:27_1_5_1_3_2_1_1_2_1_1"/>
( <font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>22</sub></font> or <font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>22</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_1"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_1"/>
<font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>22</sub></font>
 ;<br/><div class="add"><b>then </b><font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>28</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E6:27_1_5_1_3"><i><font color="Green">E36</font></i></a>, <a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>19</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>27</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>28</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T6">POLYRED:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>27</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>28</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font>
<b>by </b><i><a class="ref" href="polynom1.html#T85">POLYNOM1:85</a></i>
;<br/><b>hence </b><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="polyred.html#T45">POLYRED:45</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">c<sub>19</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>22</sub></font>
 ;<br/><div class="add"><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_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="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1"/>
(  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> or  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#R6">=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1_1_1"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1"/><i><font color="Green">E39</font></i>: 
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
 ;<br/><div class="add"><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_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="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1"/>
(  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R2">&lt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font> or  not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R2">&lt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/>
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R2">&lt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 ;<br/><div class="add"><a NAME="E2:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R1">&lt;=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="termord.html#T5">TERMORD:5</a></i>;<br/><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="termord.html#D6">TERMORD:def 6</a></i>;<br/><a NAME="E4:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b><i><font color="Green">E40</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><i><font color="Green">E41</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D21">POLYNOM1:def 21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D22">POLYNOM1:def 22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E4:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><i><font color="Green">E40</font></i></a>, <a class="ref" href="rlvect_1.html#T25">RLVECT_1:25</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D7">RLVECT_1:def 7</a></i>
<br/>.= 
 <a href="termord.html#K4">HC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="termord.html#D7">TERMORD:def 7</a></i>
;<br/><a NAME="E6:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E4:27_1_5_1_3"><i><font color="Green">E34</font></i></a>, <a class="ref" href="termord.html#T17">TERMORD:17</a></i>;<br/><a NAME="E7:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b><i><font color="Green">E42</font></i>: 
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><a NAME="E8:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><i><font color="Green">E43</font></i>: 
<span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K9">+</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="pboole.html#R6">=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="termord.html#T31">TERMORD:31</a></i>;<br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p4">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="vectsp_1.html#K5">/</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="vectsp_1.html#K5">/</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E5:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><i><font color="Green">E41</font></i></a>, <a class="ref" href="termord.html#T32">TERMORD:32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D23">VECTSP_1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E5:27_1_5_1_3"><i><font color="Green">E35</font></i></a>, <a class="ref" href="vectsp_1.html#D22">VECTSP_1:def 22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D19">VECTSP_1:def 19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T22">POLYRED:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="polynom7.html#K3">coefficient</a> <font color="Maroon">c<sub>27</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="termord.html#T23">TERMORD:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="polynom7.html#K3">coefficient</a> <font color="Maroon">c<sub>27</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="polynom7.html#K2">term</a> <font color="Maroon">c<sub>27</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="termord.html#T23">TERMORD:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom7.html#T11">POLYNOM7:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80">POLYNOM1:80</a></i>
<br/>.= 
<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#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T3">POLYRED:3</a></i>
<br/>.= 
 <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T2">POLYRED:2</a></i>
;<br/><a NAME="E10:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polyred.html#R3">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>19</sub></font>, <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E21:27_1"><i><font color="Green">E28</font></i></a>, <a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2"><i><font color="Green">E37</font></i></a>, <a class="txt" href="groeb_2.html#E7:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><i><font color="Green">E42</font></i></a>, <a class="txt" href="groeb_2.html#E8:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><i><font color="Green">E43</font></i></a>, <a class="ref" href="polyred.html#D5">POLYRED:def 5</a></i>;<br/><a NAME="E11:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polyred.html#R4">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="polyred.html#D6">POLYRED:def 6</a></i>;<br/><a NAME="E12:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polyred.html#R5">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="polyred.html#D7">POLYRED:def 7</a></i>;<br/><a NAME="E13:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="polyred.html#D13">POLYRED:def 13</a></i>;<br/><a NAME="E14:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b><i><font color="Green">E44</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>, <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="rewrite1.html#T16">REWRITE1:16</a></i>;<br/><a NAME="E15:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>28</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</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_2.html#E24:27_1"><i><font color="Green">E29</font></i></a>, <a class="ref" href="polyred.html#T45">POLYRED:45</a></i>;<br/><a NAME="E16:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<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>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</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="polyred.html#T6">POLYRED:6</a></i>;<br/><b>hence </b><a NAME="E17:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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_2.html#E6:27_1_5_1_3"><i><font color="Green">E36</font></i></a>, <a class="txt" href="groeb_2.html#E14:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_1"><i><font color="Green">E44</font></i></a>, <a class="ref" href="rewrite1.html#T17">REWRITE1:17</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/>
not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R2">&lt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 ;<br/><div class="add"><a NAME="E2:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R1">&lt;=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="termord.html#T5">TERMORD:5</a></i>;<br/><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R2">&lt;</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1"><i><font color="Green">E39</font></i></a>, <a class="ref" href="termord.html#D3">TERMORD:def 3</a></i>;<br/><a NAME="E4:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="termord.html#R1">&lt;=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="termord.html#T5">TERMORD:5</a></i>;<br/><a NAME="E5:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
not  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="termord.html#D6">TERMORD:def 6</a></i>;<br/><a NAME="E6:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b><i><font color="Green">E40</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><i><font color="Green">E41</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D21">POLYNOM1:def 21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D22">POLYNOM1:def 22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E6:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E40</font></i></a>, <a class="ref" href="rlvect_1.html#T25">RLVECT_1:25</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D7">RLVECT_1:def 7</a></i>
<br/>.= 
 <a href="termord.html#K4">HC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="termord.html#D7">TERMORD:def 7</a></i>
;<br/><a NAME="E8:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E4:27_1_5_1_3"><i><font color="Green">E34</font></i></a>, <a class="ref" href="termord.html#T17">TERMORD:17</a></i>;<br/><a NAME="E9:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b><i><font color="Green">E42</font></i>: 
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="polynom1.html#K12">Support</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><a NAME="E10:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><i><font color="Green">E43</font></i>: 
<span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom1.html#K9">+</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="pboole.html#R6">=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="termord.html#T31">TERMORD:31</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>29</sub></font> =  <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> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</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#D27">POLYNOM1:def 27</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>30</sub></font> = <font color="Maroon">c<sub>29</sub></font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> ;<br/><a NAME="E13:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/>
 <a href="rlvect_1.html#K1">0.</a> <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</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#D27">POLYNOM1:def 27</a></i>;<br/><b>then </b><i><font color="Green">E44</font></i>: <font color="Maroon">c<sub>30</sub></font> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <span class="p2">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<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></span>)</span> <a href="polynom1.html#K23">+</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#D27">POLYNOM1:def 27</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#T3">POLYRED:3</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</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#D27">POLYNOM1:def 27</a></i>
;<br/><div><i><font color="Green">E45</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2_3"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="hidden.html#R1">=</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/><a NAME="E2:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2_3"/><b>then </b>
 <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <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="polynom1.html#D23">POLYNOM1:def 23</a></i>;<br/><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2_3"/><b>then </b>
<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <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="polyred.html#T1">POLYRED:1</a></i>;<br/><b>then </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> = 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <span class="p2">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E14:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E44</font></i></a>, <a class="ref" href="rlvect_1.html#T19">RLVECT_1:19</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <span class="p1">(<span class="default"><a href="polynom1.html#K30">Polynom-Ring</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="rlvect_1.html#T25">RLVECT_1:25</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="polynom1.html#D27">POLYNOM1:def 27</a></i>
;<br/><b>hence </b><a NAME="E5:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2_3"/>
contradiction
 <b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2"><i><font color="Green">E37</font></i></a>, <a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>;<br/></div><b>end;</b></div><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p4">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="vectsp_1.html#K5">/</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="vectsp_1.html#K5">/</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E7:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E41</font></i></a>, <a class="ref" href="termord.html#T32">TERMORD:32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D23">VECTSP_1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E5:27_1_5_1_3"><i><font color="Green">E35</font></i></a>, <a class="ref" href="vectsp_1.html#D22">VECTSP_1:def 22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polynom7.html#K5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="polyred.html#K1">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D19">VECTSP_1:def 19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="termord.html#K4">HC</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T22">POLYRED:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="polynom7.html#K3">coefficient</a> <font color="Maroon">c<sub>28</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="termord.html#T23">TERMORD:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom7.html#K1">Monom</a> <span class="p3">(<span class="default"><a href="polynom7.html#K3">coefficient</a> <font color="Maroon">c<sub>28</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="polynom7.html#K2">term</a> <font color="Maroon">c<sub>28</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="termord.html#T23">TERMORD:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom7.html#T11">POLYNOM7:11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80">POLYNOM1:80</a></i>
<br/>.= 
<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#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T3">POLYRED:3</a></i>
<br/>.= 
 <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T2">POLYRED:2</a></i>
;<br/><a NAME="E17:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polyred.html#R3">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>22</sub></font>, <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E27:27_1"><i><font color="Green">E31</font></i></a>, <a class="txt" href="groeb_2.html#E9:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E42</font></i></a>, <a class="txt" href="groeb_2.html#E10:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E43</font></i></a>, <a class="txt" href="groeb_2.html#E15:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E45</font></i></a>, <a class="ref" href="polyred.html#D5">POLYRED:def 5</a></i>;<br/><a NAME="E18:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polyred.html#R4">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="polyred.html#D6">POLYRED:def 6</a></i>;<br/><a NAME="E19:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polyred.html#R5">reduces_to</a>  <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E24:27_1"><i><font color="Green">E29</font></i></a>, <a class="ref" href="polyred.html#D7">POLYRED:def 7</a></i>;<br/><a NAME="E20:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="polyred.html#D13">POLYRED:def 13</a></i>;<br/><a NAME="E21:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b><i><font color="Green">E46</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>, <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="rewrite1.html#T16">REWRITE1:16</a></i>;<br/><a NAME="E22:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <font color="Maroon">c<sub>27</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</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_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="polyred.html#T45">POLYRED:45</a></i>;<br/><a NAME="E23:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<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>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</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="polyred.html#T6">POLYRED:6</a></i>;<br/><a NAME="E24:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b><i><font color="Green">E47</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</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="txt" href="groeb_2.html#E21:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E46</font></i></a>, <a class="ref" href="rewrite1.html#T17">REWRITE1:17</a></i>;<br/> <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> = 
 <a href="polynom1.html#K24">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom7.html#K4">|</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="polynom7.html#T20">POLYNOM7:20</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom7.html#K4">|</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_2.html#T20" target="_self">Th20</a></i>
;<br/><a NAME="E26:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/><b>then </b><i><font color="Green">E48</font></i>: 
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</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_2.html#E24:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E47</font></i></a>, <a class="ref" href="polyred.html#T47">POLYRED:47</a></i>;<br/><span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T85">POLYNOM1:85</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T6">POLYRED:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T6">POLYRED:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T6">POLYRED:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polyred.html#T6">POLYRED:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K27">1_</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="polynom1.html#K29">*'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T89">POLYNOM1:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K23">+</a> <span class="p1">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T89">POLYNOM1:89</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K25">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>
;<br/><b>hence </b><a NAME="E28:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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_2.html#E6:27_1_5_1_3"><i><font color="Green">E36</font></i></a>, <a class="txt" href="groeb_2.html#E26:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1_1_1_2"><i><font color="Green">E48</font></i></a>, <a class="ref" href="polynom1.html#T87">POLYNOM1:87</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2_1_1_1"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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="27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"><b>case </b></a><a NAME="E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><i><font color="Green">E39</font></i>: 
 <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="pboole.html#R6">=</a>  <a href="termord.html#K3">HT</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
 ;<br/><div class="add"><a NAME="E2:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E30:27_1"><i><font color="Green">E32</font></i></a>, <a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>;<br/><a NAME="E4:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D21">POLYNOM1:def 21</a></i>;<br/><a NAME="E5:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D22">POLYNOM1:def 22</a></i>;<br/><a NAME="E6:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b><i><font color="Green">E40</font></i>: 
<font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T19">RLVECT_1:19</a></i>;<br/><a NAME="E7:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K25">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E32:27_1"><i><font color="Green">E33</font></i></a>, <a class="ref" href="polynom1.html#D9">POLYNOM1:def 9</a></i>;<br/><a NAME="E8:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K23">+</a> <span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D23">POLYNOM1:def 23</a></i>;<br/><a NAME="E9:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polynom1.html#K24">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D21">POLYNOM1:def 21</a></i>;<br/><a NAME="E10:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p2">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="polynom1.html#D22">POLYNOM1:def 22</a></i>;<br/><a NAME="E11:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/><b>then </b><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p3">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T19">RLVECT_1:19</a></i>;<br/> <a href="termord.html#K4">HC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="termord.html#D7">TERMORD:def 7</a></i>
<br/>.= 
<font color="Maroon">c<sub>13</sub></font> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E6:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"><i><font color="Green">E40</font></i></a>, <a class="ref" href="rlvect_1.html#T30">RLVECT_1:30</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span> <a href="polynom1.html#K15">.</a> <span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"><i><font color="Green">E39</font></i></a>, <a class="txt" href="groeb_2.html#E11:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"><i><font color="Green">E41</font></i></a>, <a class="ref" href="rlvect_1.html#T30">RLVECT_1:30</a></i>
<br/>.= 
 <a href="termord.html#K4">HC</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="termord.html#D7">TERMORD:def 7</a></i>
;<br/><b>then </b> <a href="termord.html#K5">HM</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>23</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>19</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> = 
 <a href="polynom7.html#K1">Monom</a> <span class="p1">(<span class="default"><a href="termord.html#K4">HC</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="termord.html#K3">HT</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"><i><font color="Green">E39</font></i></a>, <a class="ref" href="termord.html#D8">TERMORD:def 8</a></i>
<br/>.= 
 <a href="termord.html#K5">HM</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>24</sub></font> <a href="polynom1.html#K29">*'</a> <font color="Maroon">c<sub>22</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="termord.html#D8">TERMORD:def 8</a></i>
;<br/><b>hence </b><a NAME="E14:27_1_5_1_3_2_1_1_2_1_1_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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_2.html#E2:27"><i><font color="Green">E16</font></i></a>, <a class="txt" href="groeb_2.html#E18:27_1"><i><font color="Green">E26</font></i></a>, <a class="txt" href="groeb_2.html#E24:27_1"><i><font color="Green">E29</font></i></a>, <a class="txt" href="groeb_2.html#E6:27_1_5_1_3"><i><font color="Green">E36</font></i></a>, <a class="txt" href="groeb_2.html#E1:27_1_5_1_3_2_1_1_2_1_1_2"><i><font color="Green">E38</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E3:27_1_5_1_3_2_1_1_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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="E3:27_1_5_1_3_2_1_1_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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="E2:27_1_5_1_3_2"/>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="rewrite1.html#R1">reduces</a> <font color="Maroon">c<sub>16</sub></font> <a href="polynom1.html#K25">-</a> <font color="Maroon">c<sub>11</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><a NAME="E8:27_1_5_1_3"/><b>then </b>
<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="rewrite1.html#R5">are_convergent_wrt</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="polyred.html#T50">POLYRED:50</a></i>;<br/><b>hence </b><a NAME="E9:27_1_5_1_3"/>
<font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="rewrite1.html#R5">are_convergent_wrt</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="groeb_2.html#E13:27_1"><i><font color="Green">E22</font></i></a>, <a class="txt" href="groeb_2.html#E14:27_1"><i><font color="Green">E23</font></i></a>, <a class="ref" href="rewrite1.html#T41">REWRITE1:41</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E34:27_1"/>
<font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="rewrite1.html#R5">are_convergent_wrt</a>  <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 ;<br/></div><b>end;</b></div>
<a NAME="E4:27"/><b>then </b>
 <a href="polyred.html#K3">PolyRedRel</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> is <a href="rewrite1.html#V9">locally-confluent</a>
 
<b>by </b><i><a class="ref" href="rewrite1.html#D24">REWRITE1:def 24</a></i>;<br/>
<b>hence </b><a NAME="E5:27"/>
<font color="Maroon">c<sub>4</sub></font> <a href="groeb_1.html#R1">is_Groebner_basis_wrt</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="groeb_1.html#D3">GROEB_1:def 3</a></i>;<br/>


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