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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Thm24</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: SRINGS_4:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  1 <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">S</font> being    <a href="srings_4.html#M1" title="SRINGS_4:mode.1">SemiringFamily</a> of <font color="Olive" title="b1">X</font> holds   <a href="srings_4.html#K3" title="SRINGS_4:func.3">SemiringProduct</a> <font color="Olive" title="b2">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> <span class="p3"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b3">s</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span></span>)</span> where <font color="Olive" title="b3">s</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 : verum </span> } </span> </div></div>
