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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def4</font></span>   defines <a href="matrix_1.html#K7" title="MATRIX_1:func.7">len</a> <a onclick="hs(this)" href="javascript:()">MATRIX_1:def 11 : <br/></a><span> for <font color="Olive" title="b1">P</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="matrix_1.html#V4" title="MATRIX_1:attr.4">permutational</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K7" title="MATRIX_1:func.7">len</a> <font color="Olive" title="b1">P</font> iff  ex <font color="Olive" title="b3">s</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <br/>( <font color="Olive" title="b3">s</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">P</font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">s</font> ) );<br/></span></div>
