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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E34">Def7</font></span>   defines <a href="monoid_1.html#K18" title="MONOID_1:func.18">|.</a> <a onclick="hs(this)" href="javascript:()">MONOID_1:def 7 : <br/></a><span> for <font color="Olive" title="b1">A</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">p</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="monoid_1.html#NM1" title="MONOID_1:NM.1">Multiset</a> of <font color="Olive" title="b1">A</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="monoid_1.html#K18" title="MONOID_1:func.18">|.</a><span class="default"><font color="Olive" title="b2">p</font></span><a href="monoid_1.html#K18" title="MONOID_1:func.18">.|</a></span> iff  for <font color="Olive" title="b4">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">A</font> holds  <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1" title="RECDEF_1:func.1">.</a> <font color="Olive" title="b4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b4">a</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="relset_1.html#K6" title="RELSET_1:func.6">|`</a> <font color="Olive" title="b2">p</font></span>)</span></span>)</span> );<br/></span></div>
