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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: REWRITE2:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a><br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font> being   <a href="rewrite2.html#V1" title="REWRITE2:attr.1">XFinSequence-yielding</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> holds <br/> ( <font color="Olive" title="b1">s</font> <a href="rewrite2.html#K1" title="REWRITE2:func.1">^+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="rewrite2.html#K1" title="REWRITE2:func.1">^+</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="rewrite2.html#K1" title="REWRITE2:func.1">^+</a> <font color="Olive" title="b3">q</font></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="rewrite2.html#K2" title="REWRITE2:func.2">+^</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="rewrite2.html#K2" title="REWRITE2:func.2">+^</a> <font color="Olive" title="b1">s</font></span>)</span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="rewrite2.html#K2" title="REWRITE2:func.2">+^</a> <font color="Olive" title="b1">s</font></span>)</span> )</div></div>
