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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_8.html#K10" title="NOMIN_8:func.10">valid_output</a> <a onclick="hs(this)" href="javascript:()">NOMIN_8:def 13 : <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">Z</font>, <font color="Olive" title="b4">res</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive">b<sub>5</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>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_8.html#K10" title="NOMIN_8:func.10">valid_output</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">Z</font>,<font color="Olive" title="b4">res</font>) iff (  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b6">d</font> where <font color="Olive" title="b6">d</font> is    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font> : <font color="Olive" title="b6">d</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> <span class="p1">(<span class="default"><a href="nomin_1.html#K18" title="NOMIN_1:func.18">denaming</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">Z</font>)</span>)</span> </span> } </span>  &amp; (  for <font color="Olive" title="b6">d</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b6">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>5</sub></font> holds <br/>( ( <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b4">res</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span> <a href="nomin_8.html#R3" title="NOMIN_8:pred.3">is_valid_output</a> <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b3">Z</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>,<font color="Olive" title="b6">d</font> implies <font color="Olive">b<sub>5</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">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 <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b4">res</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span> <a href="nomin_8.html#R3" title="NOMIN_8:pred.3">is_valid_output</a> <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b3">Z</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>,<font color="Olive" title="b6">d</font> implies <font color="Olive">b<sub>5</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">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>
