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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: MEASURE9:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">P</font> being   <a href="simplex0.html#NV1" title="SIMPLEX0:NV.1">with_empty_element</a>   <a href="srings_3.html#V1" title="SRINGS_3:attr.1">semi-diff-closed</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">M</font> being    <a href="measure9.html#M1" title="MEASURE9:mode.1">pre-Measure</a> of <font color="Olive" title="b2">P</font><br/>  for <font color="Olive" title="b4">A</font>, <font color="Olive" title="b5">B</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b4">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Olive" title="b5">B</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Olive" title="b4">A</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <font color="Olive" title="b5">B</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">P</font> &amp; <font color="Olive" title="b5">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">A</font> holds <br/><font color="Olive" title="b3">M</font> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b4">A</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b3">M</font> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b5">B</font></div></div>
