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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: ROUGHS_1:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="roughs_1.html#NM1" title="ROUGHS_1:NM.1">Approximation_Space</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">X</font> being   <a href="prob_2.html#V1" title="PROB_2:attr.1">disjoint_valued</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">A</font> holds  <span class="p1">(<span class="default"><a href="roughs_1.html#K6" title="ROUGHS_1:func.6">MemberFunc</a> (<span class="p2">(<span class="default"><a href="roughs_1.html#K2" title="ROUGHS_1:func.2">Union</a> <font color="Olive" title="b3">X</font></span>)</span>,<font color="Olive" title="b1">A</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rvsum_1.html#K18" title="RVSUM_1:func.18">Sum</a> <span class="p1">(<span class="default"><a href="roughs_1.html#K7" title="ROUGHS_1:func.7">FinSeqM</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">X</font>)</span>)</span></div></div>
