<?xml version="1.0"?>
<div class="add">

<span class="kw">set </span><font color="Maroon" title="c1">F</font> =  <a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p1">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span>;<br/>
<a NAME="E1:99"/><span class="lab"><font color="Green" title="E48">A0</font></span>: 
 <a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2 is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of  <a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p1">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#D1" onmouseover="rs('field_4/D1')" onmouseout="rh()">FIELD_4:def 1</a></span>;<br/>
<a NAME="E2:99"/>
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <span class="p2">(<span class="default"><a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2</span>)</span></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#T10" onmouseover="rs('field_4/T10')" onmouseout="rh()">FIELD_4:10</a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c2">p</font> =  <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>  as    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> ;<br/>
 <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<font color="Maroon" title="c2">p</font>,<a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>) = 
 <a href="algnum_1.html#K1" title="ALGNUM_1:func.1">Ext_eval</a> (<a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>,<a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#T26" onmouseover="rs('field_4/T26')" onmouseout="rh()">FIELD_4:26</a></span>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_5.html#T17" onmouseover="rs('field_5/T17')" onmouseout="rh()">FIELD_5:17</a></span>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99"><span class="lab"><font color="Green" title="E48">A0</font></span></a>, <a class="ref" href="c0sp1.html#D3" onmouseover="rs('c0sp1/D3')" onmouseout="rh()">C0SP1:def 3</a></span>
;<br/>
<a NAME="E5:99"/><span class="kw">then </span>
 <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>  <a href="polynom5.html#R1" title="POLYNOM5:pred.1">is_a_root_of</a> <font color="Maroon" title="c2">p</font>
 
;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c3">q</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span><span class="kw"> such that </span><br/><a NAME="E7:99"/><span class="lab"><font color="Green" title="E49">A1</font></span>: 
<font color="Maroon" title="c2">p</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>)</span>)</span> <a href="polynom3.html#K11" title="POLYNOM3:func.11">*'</a> <font color="Maroon" title="c3">q</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="hurwitz.html#T33" onmouseover="rs('hurwitz/T33')" onmouseout="rh()">HURWITZ:33</a></span>;<br/>
<div><span class="lab"><font color="Green" title="E50">H0</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="99_2"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polynom3.html#K8" title="POLYNOM3:func.8">0_.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span></a><div class="add"><span class="kw">assume </span><a NAME="E1:99_2"/><span class="lab"><font color="Green" title="E51">H1</font></span>: 
<font color="Maroon" title="c3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polynom3.html#K8" title="POLYNOM3:func.8">0_.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/><a NAME="E2:99_2"/>
 <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#T20" onmouseover="rs('field_4/T20')" onmouseout="rh()">FIELD_4:20</a></span>;<br/><span class="kw">hence </span><a NAME="E3:99_2"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99_2"><span class="lab"><font color="Green" title="E51">H1</font></span></a>, <a class="txt" href="#E7:99"><span class="lab"><font color="Green" title="E49">A1</font></span></a>, <a class="ref" href="hurwitz.html#T20" onmouseover="rs('hurwitz/T20')" onmouseout="rh()">HURWITZ:20</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<a NAME="E9:99"/><span class="lab"><font color="Green" title="E51">H1</font></span>: 
 <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
 
;<br/>
2 = 
 <a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_9.html#T18" target="_self" onmouseover="rs('field_9/T18')" onmouseout="rh()">qua4</a></span>
<br/>.= 
 <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c2">p</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#T20" onmouseover="rs('field_4/T20')" onmouseout="rh()">FIELD_4:20</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <span class="p2">(<span class="default"><a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c3">q</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:99"><span class="lab"><font color="Green" title="E49">A1</font></span></a>, <a class="txt" href="#E8:99"><span class="lab"><font color="Green" title="E50">H0</font></span></a>, <a class="ref" href="hurwitz.html#T23" onmouseover="rs('hurwitz/T23')" onmouseout="rh()">HURWITZ:23</a></span>
<br/>.= 
1 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c3">q</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="hurwitz.html#T27" onmouseover="rs('hurwitz/T27')" onmouseout="rh()">HURWITZ:27</a></span>
;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span><span class="kw"> such that </span><br/><a NAME="E12:99"/><span class="lab"><font color="Green" title="E52">A2</font></span>: 
( <font color="Maroon" title="c4">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span> &amp; <font color="Maroon" title="c3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c4">x</font> <a href="polynom5.html#K4" title="POLYNOM5:func.4">*</a> <span class="p1">(<span class="default"><a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<font color="Maroon" title="c5">b</font>)</span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="hurwitz.html#T28" onmouseover="rs('hurwitz/T28')" onmouseout="rh()">HURWITZ:28</a></span>;<br/>
<a NAME="E13:99"/><span class="lab"><font color="Green" title="E53">A3</font></span>: 
(  <a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<font color="Maroon" title="c5">b</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="polynom5.html#K5" title="POLYNOM5:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span><a href="polynom5.html#K5" title="POLYNOM5:func.5">%&gt;</a></span> &amp;  <a href="hurwitz.html#K3" title="HURWITZ:func.3">rpoly</a> (1,<a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="polynom5.html#K5" title="POLYNOM5:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span><a href="polynom5.html#K5" title="POLYNOM5:func.5">%&gt;</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_5.html#T10" onmouseover="rs('ring_5/T10')" onmouseout="rh()">RING_5:10</a></span>;<br/>
<a NAME="E14:99"/><span class="kw">then </span>
<font color="Maroon" title="c3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="polynom5.html#K5" title="POLYNOM5:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p3">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p4">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p5">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="polynom5.html#K5" title="POLYNOM5:func.5">%&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:99"><span class="lab"><font color="Green" title="E52">A2</font></span></a>, <a class="ref" href="field_9.html#T12" target="_self" onmouseover="rs('field_9/T12')" onmouseout="rh()">qua20</a></span>;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E54">A4</font></span>: <font color="Maroon" title="c2">p</font> = 
<span class="p1"><a href="field_9.html#K4" title="FIELD_9:func.4">&lt;%</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p5">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p0">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p5">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p5">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p0">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p1">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p4">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p5">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p5">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p0">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="field_9.html#K4" title="FIELD_9:func.4">%&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:99"><span class="lab"><font color="Green" title="E49">A1</font></span></a>, <a class="txt" href="#E13:99"><span class="lab"><font color="Green" title="E53">A3</font></span></a>, <a class="ref" href="field_9.html#T24" target="_self" onmouseover="rs('field_9/T24')" onmouseout="rh()">lemred1</a></span>
<br/>.= 
<span class="p1"><a href="field_9.html#K4" title="FIELD_9:func.4">&lt;%</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p4">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span></span>)</span></span>)</span>,<font color="Maroon" title="c4">x</font></span><a href="field_9.html#K4" title="FIELD_9:func.4">%&gt;</a></span>

;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E55">A5</font></span>: <font color="Maroon" title="c4">x</font> = 
<a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> 2
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99"><span class="lab"><font color="Green" title="E48">A0</font></span></a>, <a class="ref" href="c0sp1.html#D3" onmouseover="rs('c0sp1/D3')" onmouseout="rh()">C0SP1:def 3</a></span>
;<br/>
<a NAME="E17:99"/><span class="kw">then </span>
<font color="Maroon" title="c2">p</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="field_9.html#K4" title="FIELD_9:func.4">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c5">b</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p3">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span><a href="field_9.html#K4" title="FIELD_9:func.4">%&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:99"><span class="lab"><font color="Green" title="E54">A4</font></span></a>, <a class="ref" href="vectsp_1.html#T10" onmouseover="rs('vectsp_1/T10')" onmouseout="rh()">VECTSP_1:10</a></span>;<br/>
<span class="kw">then </span><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c5">b</font> = 
<a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99"><span class="lab"><font color="Green" title="E48">A0</font></span></a>, <a class="ref" href="c0sp1.html#D3" onmouseover="rs('c0sp1/D3')" onmouseout="rh()">C0SP1:def 3</a></span>
;<br/>
<a NAME="E19:99"/><span class="kw">then </span><span class="lab"><font color="Green" title="E56">A7</font></span>: 
<font color="Maroon" title="c5">b</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="group_1.html#D12" onmouseover="rs('group_1/D12')" onmouseout="rh()">GROUP_1:def 12</a></span>;<br/>
<a NAME="E20:99"/><span class="kw">then </span><span class="lab"><font color="Green" title="E57">A6</font></span>: 
<font color="Maroon" title="c5">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:99"><span class="lab"><font color="Green" title="E51">H1</font></span></a>, <a class="ref" href="vectsp_1.html#D10" onmouseover="rs('vectsp_1/D10')" onmouseout="rh()">VECTSP_1:def 10</a></span>;<br/>
<span class="kw">thus </span><a NAME="E21:99"/>
 <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>  <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="polynom3.html#K11" title="POLYNOM3:func.11">*'</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <span class="p2">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:99"><span class="lab"><font color="Green" title="E49">A1</font></span></a>, <a class="txt" href="#E16:99"><span class="lab"><font color="Green" title="E55">A5</font></span></a>, <a class="txt" href="#E19:99"><span class="lab"><font color="Green" title="E56">A7</font></span></a>, <a class="txt" href="#E12:99"><span class="lab"><font color="Green" title="E52">A2</font></span></a>, <a class="ref" href="vectsp_1.html#D10" onmouseover="rs('vectsp_1/D10')" onmouseout="rh()">VECTSP_1:def 10</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span> &amp;  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> )</span><br/>

 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">b</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> = 
<span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c5">b</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="rlvect_1.html#T31" onmouseover="rs('rlvect_1/T31')" onmouseout="rh()">RLVECT_1:31</a></span>
<br/>.= 
<font color="Maroon" title="c2">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> 1
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:99"><span class="lab"><font color="Green" title="E54">A4</font></span></a>, <a class="txt" href="#E16:99"><span class="lab"><font color="Green" title="E55">A5</font></span></a>, <a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="ring_3.html#NK1" title="RING_3:NK.1">Z/</a> 2</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E22"><span class="lab"><font color="Green" title="E15">qua1</font></span></a></span>
<br/>.= 
 <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p2">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99"><span class="lab"><font color="Green" title="E48">A0</font></span></a>, <a class="ref" href="c0sp1.html#D3" onmouseover="rs('c0sp1/D3')" onmouseout="rh()">C0SP1:def 3</a></span>
;<br/>
<a NAME="E23:99"/><span class="kw">then </span>
<font color="Maroon" title="c5">b</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="rlvect_1.html#D3" onmouseover="rs('rlvect_1/D3')" onmouseout="rh()">RLVECT_1:def 3</a></span>;<br/>
<a NAME="E24:99"/><span class="kw">then </span><span class="lab"><font color="Green" title="E58">A8</font></span>: 
<span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E20:99"><span class="lab"><font color="Green" title="E57">A6</font></span></a>, <a class="ref" href="rlvect_1.html#T5" onmouseover="rs('rlvect_1/T5')" onmouseout="rh()">RLVECT_1:5</a></span>;<br/>
<span class="kw">hence </span><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a>  = 
<span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span>

<br/>.= 
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="rlvect_1.html#T30" onmouseover="rs('rlvect_1/T30')" onmouseout="rh()">RLVECT_1:30</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span><br/>

<span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p3">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p4">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p5">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p2">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p3">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p4">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E24:99"><span class="lab"><font color="Green" title="E58">A8</font></span></a>, <a class="ref" href="rlvect_1.html#D3" onmouseover="rs('rlvect_1/D3')" onmouseout="rh()">RLVECT_1:def 3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="rlvect_1.html#T5" onmouseover="rs('rlvect_1/T5')" onmouseout="rh()">RLVECT_1:5</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E27:99"/>
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p2">(<span class="default"><a href="field_2.html#K7" title="FIELD_2:func.7">embField</a> <span class="p3">(<span class="default"><a href="field_5.html#K1" title="FIELD_5:func.1">canHomP</a> <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a></span>)</span></span>)</span></span>)</span>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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