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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E89">Th80</font></span>: <a NAME="T82"><span class="comment"><font color="firebrick">:: POLYFORM:82</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="polyform.html#NM2" title="POLYFORM:NM.2">polyhedron</a>  st  <a href="polyform.html#K4" title="POLYFORM:func.4">dim</a> <font color="Olive" title="b1">p</font> is  <a href="abian.html#NV2" title="ABIAN:NV.2">odd</a>  holds <br/> <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> <span class="p1">(<span class="default"><a href="rvsum_1.html#K16" title="RVSUM_1:func.16">Sum</a> <span class="p2">(<span class="default"><a href="polyform.html#K26" title="POLYFORM:func.26">alternating-proper-f-vector</a> <font color="Olive" title="b1">p</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 2</div></div>
