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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E3">Def6</font></span>   defines <a href="compos_0.html#V3" title="COMPOS_0:attr.3">J/A-independent</a> <a onclick="hs(this)" href="javascript:()">COMPOS_0:def 7 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="compos_0.html#V1" title="COMPOS_0:attr.1">standard-ins</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">S</font> is  <a href="compos_0.html#V3" title="COMPOS_0:attr.3">J/A-independent</a>  iff  for <font color="Olive" title="b2">T</font> being   <a href="compos_0.html#NM1" title="COMPOS_0:NM.1">InsType</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">f2</font> being   <a href="valued_0.html#V4" title="VALUED_0:attr.4">natural-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b3">f1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="compos_0.html#K6" title="COMPOS_0:func.6">JumpParts</a> <font color="Olive" title="b2">T</font> &amp;  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b4">f2</font> holds <br/> for <font color="Olive" title="b5">p</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><font color="Olive" title="b2">T</font>,<font color="Olive" title="b3">f1</font>,<font color="Olive" title="b5">p</font></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">S</font> holds <br/><span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><font color="Olive" title="b2">T</font>,<font color="Olive" title="b4">f2</font>,<font color="Olive" title="b5">p</font></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">S</font> );<br/></span></div>
