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<div><span class="kw">theorem </span><a NAME="T89"><span class="comment"><font color="firebrick">:: PBOOLE:89</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font>, <font color="Olive" title="b4">Z</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font> holds  <font color="Olive" title="b2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">(\)</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">Y</font> <a href="pboole.html#K5" title="PBOOLE:func.5">(\+\)</a> <font color="Olive" title="b4">Z</font></span>)</span> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="pboole.html#K4" title="PBOOLE:func.4">(\)</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">Y</font> <a href="pboole.html#K2" title="PBOOLE:func.2">(\/)</a> <font color="Olive" title="b4">Z</font></span>)</span></span>)</span> <a href="pboole.html#K2" title="PBOOLE:func.2">(\/)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a> <font color="Olive" title="b3">Y</font></span>)</span> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a> <font color="Olive" title="b4">Z</font></span>)</span></div></div>
