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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">S</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">X</font>;<br/><b>let </b><font color="Maroon" title="c3">F</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<font color="Maroon" title="c2">S</font>;<br/>





<a NAME="E1:52"/><i><font color="Green" title="E27">A1</font></i>: 
 <a href="measure1.html#K5" title="MEASURE1:func.5">rng</a> <font color="Maroon" title="c3">F</font> is   <a href="measure1.html#NM3" title="MEASURE1:NM.3">N_Sub_set_fam</a> of <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="ref" href="measure1.html#T52" target="_self" title="MEASURE1:th.52">Th52</a></i>;<br/>
<a NAME="E2:52"/>
 <a href="measure1.html#K5" title="MEASURE1:func.5">rng</a> <font color="Maroon" title="c3">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">S</font>
 
<b>by </b><i><a class="ref" href="relset_1.html#T12" title="RELSET_1:th.12">RELSET_1:12</a></i>;<br/>
<b>hence </b><a NAME="E3:52"/>
 <a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p1">(<span class="default"><a href="measure1.html#K5" title="MEASURE1:func.5">rng</a> <font color="Maroon" title="c3">F</font></span>)</span> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Maroon" title="c2">S</font>
 <b>by </b><i><a class="txt" href="measure1.html#E1:52"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="measure1.html#D9" target="_self" title="MEASURE1:def.9">Def9</a></i>;<br/>


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