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<div><span class="kw">theorem </span><a NAME="T56"><span class="comment"><font color="firebrick">:: CHAIN_1:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">d</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">G</font> being    <a href="chain_1.html#M1" title="CHAIN_1:mode.1">Grating</a> of <font color="Olive" title="b1">d</font> holds <br/> (  <a href="chain_1.html#K6" title="CHAIN_1:func.6">Omega</a> <font color="Olive" title="b2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="chain_1.html#K5" title="CHAIN_1:func.5">0_</a> (<font color="Olive" title="b1">d</font>,<font color="Olive" title="b2">G</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  &amp;  <a href="chain_1.html#K5" title="CHAIN_1:func.5">0_</a> (<font color="Olive" title="b1">d</font>,<font color="Olive" title="b2">G</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="chain_1.html#K6" title="CHAIN_1:func.6">Omega</a> <font color="Olive" title="b2">G</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  )</div></div>
