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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th43</font></span>: <a NAME="T48"><span class="comment"><font color="firebrick">:: MEASUR11:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b2">X2</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">S1</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">X1</font><br/>  for <font color="Olive" title="b4">S2</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b2">X2</font><br/>  for <font color="Olive" title="b5">E</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Olive" title="b3">S1</font>,<font color="Olive" title="b4">S2</font>)</span>)</span><br/>  for <font color="Olive" title="b6">K</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b6">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b7">C</font> where <font color="Olive" title="b7">C</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b1">X1</font>,<font color="Olive" title="b2">X2</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> :  for <font color="Olive" title="b8">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds   <a href="measur11.html#K8" title="MEASUR11:func.8">Y-section</a> (<font color="Olive" title="b7">C</font>,<font color="Olive" title="b8">p</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">S1</font> </span> } </span>  holds <br/>(  <a href="srings_3.html#K4" title="SRINGS_3:func.4">Field_generated_by</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Olive" title="b3">S1</font>,<font color="Olive" title="b4">S2</font>)</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b6">K</font> &amp; <font color="Olive" title="b6">K</font> is   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b1">X1</font>,<font color="Olive" title="b2">X2</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> )</div></div>
