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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: RELSET_3:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font>, <font color="Olive" title="b2">r1</font>, <font color="Olive" title="b3">r2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b4">X</font> being   <a href="membered.html#V3" title="MEMBERED:attr.3">real-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">r1</font>,<font color="Olive" title="b3">r2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_3.html#K3" title="RELSET_3:func.3">multRel</a> (<font color="Olive" title="b4">X</font>,<font color="Olive" title="b1">r</font>) iff ( <font color="Olive" title="b2">r1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b4">X</font> &amp; <font color="Olive" title="b3">r2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b4">X</font> &amp; <font color="Olive" title="b3">r2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">r</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">r1</font> ) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="relset_3.html#T42" target="_self" onmouseover="rs('relset_3/T42')" onmouseout="rh()">Th42</a></span>;<br/></div></div>
