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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th2</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: GOBOARD1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   <a href="goboard1.html#V1" title="GOBOARD1:attr.1">X_equal-in-line</a>   <a href="goboard1.html#V4" title="GOBOARD1:attr.4">X_increasing-in-column</a>  <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span><br/>  for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="matrix_0.html#K7" title="MATRIX_0:func.7">Line</a> (<font color="Olive" title="b1">M</font>,<font color="Olive" title="b3">n</font>)</span>)</span> &amp; <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="matrix_0.html#K7" title="MATRIX_0:func.7">Line</a> (<font color="Olive" title="b1">M</font>,<font color="Olive" title="b4">m</font>)</span>)</span> &amp; <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">M</font> &amp; <font color="Olive" title="b4">m</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">M</font> holds <br/><font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">m</font></div></div>
