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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th12</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: GOBRD13:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i1</font>, <font color="Olive" title="b2">i2</font>, <font color="Olive" title="b3">j1</font>, <font color="Olive" title="b4">j2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b5">G1</font>, <font color="Olive" title="b6">G2</font> being   <a href="goboard1.html#NM1" title="GOBOARD1:NM.1">Go-board</a>  st  <a href="matrix_0.html#K9" title="MATRIX_0:func.9">Values</a> <font color="Olive" title="b5">G1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="matrix_0.html#K9" title="MATRIX_0:func.9">Values</a> <font color="Olive" title="b6">G2</font> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">i1</font>,<font color="Olive" title="b3">j1</font></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_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Olive" title="b5">G1</font> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">i2</font>,<font color="Olive" title="b4">j2</font></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_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Olive" title="b6">G2</font> &amp; <font color="Olive" title="b5">G1</font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b1">i1</font>,<font color="Olive" title="b3">j1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">G2</font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b2">i2</font>,<font color="Olive" title="b4">j2</font>) holds <br/> <a href="goboard5.html#K3" title="GOBOARD5:func.3">cell</a> (<font color="Olive" title="b6">G2</font>,<font color="Olive" title="b2">i2</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">j2</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="goboard5.html#K3" title="GOBOARD5:func.3">cell</a> (<font color="Olive" title="b5">G1</font>,<font color="Olive" title="b1">i1</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">j1</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span>)</div></div>
