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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: BCIALG_4:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bcialg_4.html#NM1" title="BCIALG_4:NM.1">BCI-Algebra_with_Condition(S)</a><br/>  for <font color="Olive" title="b2">F1</font>, <font color="Olive" title="b3">F2</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">X</font> holds   <a href="bcialg_4.html#K7" title="BCIALG_4:func.7">Product_S</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F1</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">F2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="bcialg_4.html#K7" title="BCIALG_4:func.7">Product_S</a> <font color="Olive" title="b2">F1</font></span>)</span> <a href="bcialg_4.html#K1" title="BCIALG_4:func.1">*</a> <span class="p1">(<span class="default"><a href="bcialg_4.html#K7" title="BCIALG_4:func.7">Product_S</a> <font color="Olive" title="b3">F2</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_4.html#T19" target="_self" onmouseover="rs('bcialg_4/T19')" onmouseout="rh()">Th18</a>, <a class="ref" href="finsop_1.html#T5" onmouseover="rs('finsop_1/T5')" onmouseout="rh()">FINSOP_1:5</a></span>;<br/></div></div>
