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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E33">Def15</font></span>   defines <a href="nomin_2.html#K13" title="NOMIN_2:func.13">SCFsuperpos</a> <a onclick="hs(this)" href="javascript:()">NOMIN_2:def 15 : <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">v</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="partpr_2.html#K2" title="PARTPR_2:func.2">FPrg</a> <span class="p3">(<span class="default"><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>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="partpr_2.html#K2" title="PARTPR_2:func.2">FPrg</a> <span class="p3">(<span class="default"><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>)</span>)</span></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default"><a href="partpr_2.html#K2" title="PARTPR_2:func.2">FPrg</a> <span class="p2">(<span class="default"><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>)</span>)</span></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_2.html#K13" title="NOMIN_2:func.13">SCFsuperpos</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">v</font>) iff  for <font color="Olive" title="b5">f</font>, <font color="Olive" title="b6">g</font> being   <a href="nomin_2.html#NM2" title="NOMIN_2:NM.2">SCBinominativeFunction</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font> holds <br/> (  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>4</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b7">d</font> where <font color="Olive" title="b7">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> : (  <a href="nomin_1.html#K17" title="NOMIN_1:func.17">local_overlapping</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b7">d</font>,<span class="p1">(<span class="default"><font color="Olive" title="b6">g</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">d</font></span>)</span>,<font color="Olive" title="b3">v</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" title="b5">f</font> &amp; <font color="Olive" title="b7">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> <font color="Olive" title="b6">g</font> ) </span> } </span>  &amp; (  for <font color="Olive" title="b7">d</font> being    <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>  st <font color="Olive" title="b7">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> <font color="Olive" title="b6">g</font> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font>),<font color="Olive" title="b7">d</font> <a href="nomin_1.html#R1" title="NOMIN_1:pred.1">=~</a> <font color="Olive" title="b5">f</font>, <a href="nomin_1.html#K17" title="NOMIN_1:func.17">local_overlapping</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b7">d</font>,<span class="p1">(<span class="default"><font color="Olive" title="b6">g</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">d</font></span>)</span>,<font color="Olive" title="b3">v</font>) ) ) );<br/></span></div>
