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<div><span class="kw">theorem </span><a NAME="T91"><span class="comment"><font color="firebrick">:: POLYFORM:91</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 <font color="Olive" title="b1">p</font> is  <a href="polyform.html#V5" title="POLYFORM:attr.5">simply-connected</a>  &amp;  <a href="polyform.html#K4" title="POLYFORM:func.4">dim</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="polyform.html#K9" title="POLYFORM:func.9">num-vertices</a> <font color="Olive" title="b1">p</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="polyform.html#K10" title="POLYFORM:func.10">num-edges</a> <font color="Olive" title="b1">p</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="polyform.html#K11" title="POLYFORM:func.11">num-faces</a> <font color="Olive" title="b1">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2</div></div>
