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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E123">Def66</font></span>   defines <a href="abcmiz_1.html#K65" title="ABCMIZ_1:func.65">at</a> <a onclick="hs(this)" href="javascript:()">ABCMIZ_1:def 66 : <br/></a><span> for <font color="Olive" title="b1">C</font> being   <a href="abcmiz_1.html#V3" title="ABCMIZ_1:attr.3">initialized</a>  <a href="abcmiz_1.html#NM5" title="ABCMIZ_1:NM.5">ConstructorSignature</a><br/>  for <font color="Olive" title="b2">f</font>, <font color="Olive" title="b3">g</font>, <font color="Olive">b<sub>4</sub></font> being   <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Olive" title="b1">C</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> <a href="abcmiz_1.html#K65" title="ABCMIZ_1:func.65">at</a> <font color="Olive" title="b3">g</font> iff (  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b3">g</font></span>)</span> &amp; (  for <font color="Olive" title="b5">x</font> being   <a href="abcmiz_1.html#NM3" title="ABCMIZ_1:NM.3">variable</a>  st <font color="Olive" title="b5">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>4</sub></font> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b5">x</font> <a href="abcmiz_1.html#K35" title="ABCMIZ_1:func.35">-term</a> <font color="Olive" title="b1">C</font></span>)</span> <a href="abcmiz_1.html#K59" title="ABCMIZ_1:func.59">at</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="abcmiz_1.html#K59" title="ABCMIZ_1:func.59">at</a> <font color="Olive" title="b3">g</font> ) ) );<br/></span></div>
