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<div><span class="kw">theorem </span><a NAME="T143"><span class="comment"><font color="firebrick">:: FUNCT_4:143</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font>, <font color="Olive" title="b6">z</font>, <font color="Olive" title="b7">w</font>, <font color="Olive" title="b8">d</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font>,<font color="Olive" title="b7">w</font>,<font color="Olive" title="b6">z</font> <a href="zfmisc_1.html#R2" title="ZFMISC_1:pred.2">are_mutually_distinct</a>  holds <br/> <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default">(<font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font>,<font color="Olive" title="b7">w</font>,<font color="Olive" title="b6">z</font>) <a href="funct_4.html#K12" title="FUNCT_4:func.12">--&gt;</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b8">d</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default"><font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b8">d</font></span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span></div></div>
