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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: MEASUR10:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</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="b2">S</font> being    <a href="srings_3.html#M2" title="SRINGS_3:mode.2">semialgebra_of_sets</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">P</font> being    <a href="measure9.html#M1" title="MEASURE9:mode.1">pre-Measure</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">m</font> being    <a href="measure9.html#M2" title="MEASURE9:mode.2">induced_Measure</a> of <font color="Olive" title="b2">S</font>,<font color="Olive" title="b3">P</font><br/>  for <font color="Olive" title="b5">M</font> being    <a href="measure9.html#M3" title="MEASURE9:mode.3">induced_sigma_Measure</a> of <font color="Olive" title="b2">S</font>,<font color="Olive" title="b4">m</font> holds   <a href="measure3.html#K4" title="MEASURE3:func.4">COM</a> <font color="Olive" title="b5">M</font> <a href="measure3.html#R1" title="MEASURE3:pred.1">is_complete</a>  <a href="measure3.html#K2" title="MEASURE3:func.2">COM</a> (<span class="p1">(<span class="default"><a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p2">(<span class="default"><a href="srings_3.html#K4" title="SRINGS_3:func.4">Field_generated_by</a> <font color="Olive" title="b2">S</font></span>)</span></span>)</span>,<font color="Olive" title="b5">M</font>) <span class="kw">by</span> <span class="lab"><a class="ref" href="measure3.html#T20" onmouseover="rs('measure3/T20')" onmouseout="rh()">MEASURE3:20</a></span>;<br/></div></div>
