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<div>:: <span class="kw">deftheorem </span>   defines <a href="measure8.html#V1" title="MEASURE8:attr.1">completely-additive</a> <a onclick="hs(this)" href="javascript:()">MEASURE8:def 11 : <br/></a><span> 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">F</font> being   <a href="prob_1.html#NM1" title="PROB_1:NM.1">Field_Subset</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">M</font> being   <a href="measure1.html#NM1" title="MEASURE1:NM.1">Measure</a> of <font color="Olive" title="b2">F</font> holds <br/> ( <font color="Olive" title="b3">M</font> is  <a href="measure8.html#V1" title="MEASURE8:attr.1">completely-additive</a>  iff  for <font color="Olive" title="b4">FSets</font> being   <a href="measure8.html#NM3" title="MEASURE8:NM.3">Sep_Sequence</a> of <font color="Olive" title="b2">F</font>  st  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b4">FSets</font></span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">F</font> holds <br/> <a href="supinf_2.html#K17" title="SUPINF_2:func.17">SUM</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">M</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b4">FSets</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">M</font> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <span class="p1">(<span class="default"><a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p2">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b4">FSets</font></span>)</span></span>)</span> );<br/></span></div>
