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<div>:: <span class="kw">deftheorem </span>   defines <a href="scmpds_7.html#K3" title="SCMPDS_7:func.3">sum</a> <a onclick="hs(this)" href="javascript:()">SCMPDS_7:def 3 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="scmpds_7.html#K3" title="SCMPDS_7:func.3">sum</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="scmpds_2.html#K5" title="SCMPDS_2:func.5">:=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,2) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <font color="Olive" title="b1">n</font></span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_7.html#K2" title="SCMPDS_7:func.2">for-down</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,2,1,<span class="p2">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">Load</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span></span>)</span>)</span>)</span>;<br/></span></div>
