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<div>:: <span class="kw">deftheorem </span>   defines <a href="cousin.html#K4" title="COUSIN:func.4">division_of</a> <a onclick="hs(this)" href="javascript:()">COUSIN:def 6 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="measure5.html#V2" title="MEASURE5:attr.2">closed_interval</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">TD</font> being    <a href="cousin.html#M1" title="COUSIN:mode.1">tagged_division</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="integra1.html#M1" title="INTEGRA1:mode.1">Division</a> of <font color="Olive" title="b1">I</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cousin.html#K4" title="COUSIN:func.4">division_of</a> <font color="Olive" title="b2">TD</font> iff  ex <font color="Olive" title="b4">D</font> being    <a href="integra1.html#M1" title="INTEGRA1:mode.1">Division</a> of <font color="Olive" title="b1">I</font> ex <font color="Olive" title="b5">T</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cousin.html#K2" title="COUSIN:func.2">set_of_tagged_Division</a> <font color="Olive" title="b4">D</font> st <br/>( <font color="Olive">b<sub>3</sub></font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b4">D</font> &amp; <font color="Olive" title="b2">TD</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">D</font>,<font color="Olive" title="b5">T</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> ) );<br/></span></div>
