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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: RECDEF_2:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">X</font>, <font color="Olive" title="b4">Y</font>, <font color="Olive" title="b5">Z</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">x</font> <a href="xtuple_0.html#K4" title="XTUPLE_0:func.4">`1_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="xtuple_0.html#K4" title="XTUPLE_0:func.4">`1_3</a>  &amp; <font color="Olive" title="b1">x</font> <a href="xtuple_0.html#K5" title="XTUPLE_0:func.5">`2_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="xtuple_0.html#K5" title="XTUPLE_0:func.5">`2_3</a>  &amp; <font color="Olive" title="b1">x</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  &amp; <font color="Olive" title="b2">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"><font color="Olive" title="b3">X</font>,<font color="Olive" title="b4">Y</font>,<font color="Olive" title="b5">Z</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> &amp; <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"><font color="Olive" title="b3">X</font>,<font color="Olive" title="b4">Y</font>,<font color="Olive" title="b5">Z</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> holds <br/><font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font></div></div>
