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<div><span class="kw">theorem </span><a NAME="T44"><span class="comment"><font color="firebrick">:: MOEBIUS1:44</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  st <font color="Olive" title="b1">X</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">Y</font> holds <br/> <a href="moebius1.html#K4" title="MOEBIUS1:func.4">SMoebius</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">Y</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <span class="p1">(<span class="default"><a href="moebius1.html#K4" title="MOEBIUS1:func.4">SMoebius</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <span class="p1">(<span class="default"><a href="moebius1.html#K4" title="MOEBIUS1:func.4">SMoebius</a> <font color="Olive" title="b2">Y</font></span>)</span></div></div>
