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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th38</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: SRINGS_5:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><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">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b2">X</font> holds   <a href="srings_5.html#K15" title="SRINGS_5:func.15">Product</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">S</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b4">f</font></span>)</span> where <font color="Olive" title="b4">f</font> is   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">S</font> : verum </span> } </span> </div></div>
