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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th6</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: GOBRD12:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   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><br/>  for <font color="Olive" title="b2">i1</font>, <font color="Olive" title="b3">j1</font>, <font color="Olive" title="b4">i2</font>, <font color="Olive" title="b5">j2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">i1</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#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span> &amp; <font color="Olive" title="b3">j1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="matrix_0.html#K1" title="MATRIX_0:func.1">width</a> <span class="p1">(<span class="default"><a href="goboard2.html#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span> &amp; <font color="Olive" title="b4">i2</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#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span> &amp; <font color="Olive" title="b5">j2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="matrix_0.html#K1" title="MATRIX_0:func.1">width</a> <span class="p1">(<span class="default"><a href="goboard2.html#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span> &amp; <font color="Olive" title="b2">i1</font>,<font color="Olive" title="b3">j1</font>,<font color="Olive" title="b4">i2</font>,<font color="Olive" title="b5">j2</font> <a href="gobrd10.html#R2" title="GOBRD10:pred.2">are_adjacent</a>  holds <br/>(  <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="goboard5.html#K3" title="GOBOARD5:func.3">cell</a> (<span class="p2">(<span class="default"><a href="goboard2.html#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span>,<font color="Olive" title="b2">i1</font>,<font color="Olive" title="b3">j1</font>)</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="goboard9.html#K2" title="GOBOARD9:func.2">LeftComp</a> <font color="Olive" title="b1">f</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="goboard9.html#K3" title="GOBOARD9:func.3">RightComp</a> <font color="Olive" title="b1">f</font></span>)</span> iff  <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="goboard5.html#K3" title="GOBOARD5:func.3">cell</a> (<span class="p2">(<span class="default"><a href="goboard2.html#K2" title="GOBOARD2:func.2">GoB</a> <font color="Olive" title="b1">f</font></span>)</span>,<font color="Olive" title="b4">i2</font>,<font color="Olive" title="b5">j2</font>)</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="goboard9.html#K2" title="GOBOARD9:func.2">LeftComp</a> <font color="Olive" title="b1">f</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="goboard9.html#K3" title="GOBOARD9:func.3">RightComp</a> <font color="Olive" title="b1">f</font></span>)</span> )</div></div>
