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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E29">Def8</font></span>   defines <a href="hallmar1.html#M4" title="HALLMAR1:mode.4">Singlification</a> <a onclick="hs(this)" href="javascript:()">HALLMAR1:def 8 : <br/></a><span> for <font color="Olive" title="b1">F</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">A</font> being    <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> <font color="Olive" title="b1">F</font>  st <font color="Olive" title="b2">A</font> is  <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  holds <br/> for <font color="Olive">b<sub>3</sub></font> being    <a href="hallmar1.html#M2" title="HALLMAR1:mode.2">Reduction</a> of <font color="Olive" title="b2">A</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> is    <a href="hallmar1.html#M4" title="HALLMAR1:mode.4">Singlification</a> of <font color="Olive" title="b2">A</font> iff  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b4">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">A</font> holds <br/> <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 );<br/></span></div>
