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<b>let </b><font color="Maroon" title="c1">h</font> be  non <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a> <a href="goboard5.html#V2" title="GOBOARD5:attr.2">standard</a> <a href="goboard5.html#NM1" title="GOBOARD5:NM.1">special_circular_sequence</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K7" title="JORDAN5D:func.7">i_w_n</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K7" title="JORDAN5D:func.7">i_w_n</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K8" title="JORDAN5D:func.8">i_e_n</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K8" title="JORDAN5D:func.8">i_e_n</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K5" title="JORDAN5D:func.5">i_w_s</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K5" title="JORDAN5D:func.5">i_w_s</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K6" title="JORDAN5D:func.6">i_e_s</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K6" title="JORDAN5D:func.6">i_e_s</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> )</span><br/>

<a NAME="E1:42"/><i><font color="Green" title="E50">A1</font></i>: 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="jordan5d.html#K7" title="JORDAN5D:func.7">i_w_n</a> <font color="Maroon" title="c1">h</font></span>)</span>,<span class="p2">(<span class="default"><a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p3">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">Indices</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span>
 
<b>by </b><i><a class="ref" href="jordan5d.html#D7" target="_self" title="JORDAN5D:def.7">Def7</a></i>;<br/>
<a NAME="E2:42"/><i><font color="Green" title="E51">A2</font></i>: 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="jordan5d.html#K8" title="JORDAN5D:func.8">i_e_n</a> <font color="Maroon" title="c1">h</font></span>)</span>,<span class="p2">(<span class="default"><a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p3">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">Indices</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span>
 
<b>by </b><i><a class="ref" href="jordan5d.html#D8" target="_self" title="JORDAN5D:def.8">Def8</a></i>;<br/>
<a NAME="E3:42"/><i><font color="Green" title="E52">A3</font></i>: 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="jordan5d.html#K5" title="JORDAN5D:func.5">i_w_s</a> <font color="Maroon" title="c1">h</font></span>)</span>,1</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">Indices</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span>
 
<b>by </b><i><a class="ref" href="jordan5d.html#D5" target="_self" title="JORDAN5D:def.5">Def5</a></i>;<br/>
<a NAME="E4:42"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="jordan5d.html#K6" title="JORDAN5D:func.6">i_e_s</a> <font color="Maroon" title="c1">h</font></span>)</span>,1</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">Indices</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span>
 
<b>by </b><i><a class="ref" href="jordan5d.html#D6" target="_self" title="JORDAN5D:def.6">Def6</a></i>;<br/>
<b>hence </b><a NAME="E5:42"/>
( 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K7" title="JORDAN5D:func.7">i_w_n</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K7" title="JORDAN5D:func.7">i_w_n</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K8" title="JORDAN5D:func.8">i_e_n</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K8" title="JORDAN5D:func.8">i_e_n</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K5" title="JORDAN5D:func.5">i_w_s</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K5" title="JORDAN5D:func.5">i_w_s</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="jordan5d.html#K6" title="JORDAN5D:func.6">i_e_s</a> <font color="Maroon" title="c1">h</font> &amp;  <a href="jordan5d.html#K6" title="JORDAN5D:func.6">i_e_s</a> <font color="Maroon" title="c1">h</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="goboard2.html#K3" title="GOBOARD2:func.3">GoB</a> <font color="Maroon" title="c1">h</font></span>)</span> )
 <b>by </b><i><a class="txt" href="jordan5d.html#E1:42"><i><font color="Green" title="E50">A1</font></i></a>, <a class="txt" href="jordan5d.html#E2:42"><i><font color="Green" title="E51">A2</font></i></a>, <a class="txt" href="jordan5d.html#E3:42"><i><font color="Green" title="E52">A3</font></i></a>, <a class="ref" href="matrix_1.html#T39" title="MATRIX_1:th.39">MATRIX_1:39</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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