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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: MATRIX_0:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">j</font>, <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><br/>  for <font color="Olive" title="b5">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b6">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b5">D</font>  st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</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> <span class="p1">(<span class="default">(<font color="Olive" title="b3">n</font>,<font color="Olive" title="b4">m</font>) <a href="matrix_0.html#K11" title="MATRIX_0:func.11">--&gt;</a> <font color="Olive" title="b6">a</font></span>)</span> holds <br/><span class="p1">(<span class="default">(<font color="Olive" title="b3">n</font>,<font color="Olive" title="b4">m</font>) <a href="matrix_0.html#K11" title="MATRIX_0:func.11">--&gt;</a> <font color="Olive" title="b6">a</font></span>)</span> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">a</font></div></div>
