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<div>:: <span class="kw">deftheorem </span>   defines <a href="polyform.html#V6" title="POLYFORM:attr.6">eulerian</a> <a onclick="hs(this)" href="javascript:()">POLYFORM:def 31 : <br/></a><span> for <font color="Olive" title="b1">p</font> being   <a href="polyform.html#NM2" title="POLYFORM:NM.2">polyhedron</a> holds <br/> ( <font color="Olive" title="b1">p</font> is  <a href="polyform.html#V6" title="POLYFORM:attr.6">eulerian</a>  iff  <a href="rvsum_1.html#K16" title="RVSUM_1:func.16">Sum</a> <span class="p1">(<span class="default"><a href="polyform.html#K25" title="POLYFORM:func.25">alternating-f-vector</a> <font color="Olive" title="b1">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  );<br/></span></div>
