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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E6">Def12</font></span>   defines <a href="nomin_6.html#K9" title="NOMIN_6:func.9">power_inv</a> <a onclick="hs(this)" href="javascript:()">NOMIN_6:def 12 : <br/></a><span> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">loc</font> being  <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b4">b0</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a><br/>  for <font color="Olive" title="b5">n0</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive">b<sub>6</sub></font> being   <a href="nomin_2.html#NM1" title="NOMIN_2:NM.1">SCPartialNominativePredicate</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font> holds <br/> ( <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_6.html#K9" title="NOMIN_6:func.9">power_inv</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">loc</font>,<font color="Olive" title="b4">b0</font>,<font color="Olive" title="b5">n0</font>) iff (  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_1.html#K3" title="NOMIN_1:func.3">ND</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>) &amp; (  for <font color="Olive" title="b7">d</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b7">d</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>6</sub></font> holds <br/>( (  <a href="nomin_6.html#R3" title="NOMIN_6:pred.3">power_inv_pred</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">loc</font>,<font color="Olive" title="b4">b0</font>,<font color="Olive" title="b5">n0</font>,<font color="Olive" title="b7">d</font> implies <font color="Olive">b<sub>6</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) &amp; (  not  <a href="nomin_6.html#R3" title="NOMIN_6:pred.3">power_inv_pred</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">loc</font>,<font color="Olive" title="b4">b0</font>,<font color="Olive" title="b5">n0</font>,<font color="Olive" title="b7">d</font> implies <font color="Olive">b<sub>6</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>  ) ) ) ) );<br/></span></div>
