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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: AOFA_000:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="aofa_000.html#V3" title="AOFA_000:attr.3">with_empty-instruction</a>  <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b2">o</font> being    <a href="margrel1.html#M5" title="MARGREL1:mode.5">Element</a> of  <a href="unialg_2.html#K1" title="UNIALG_2:func.1">Operations</a> <font color="Olive" title="b1">A</font>  st <font color="Olive" title="b2">o</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="pua2mss1.html#K2" title="PUA2MSS1:func.2">Den</a> (<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<span class="p2">(<span class="default"><a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive" title="b1">A</font></span>)</span>)</span>)</span>,<font color="Olive" title="b1">A</font>) holds <br/>(  <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <font color="Olive" title="b2">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  <a href="aofa_000.html#K12" title="AOFA_000:func.12">EmptyIns</a> <font color="Olive" title="b1">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">o</font> )</div></div>
