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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: NOMIN_4:15</font></span><br/></a><div class="add"> 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">d1</font> being    <a href="nomin_1.html#M3" title="NOMIN_1:mode.3">NonatomicND</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b4">a</font>, <font color="Olive" title="b5">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">A</font> is  <a href="nomin_4.html#V1" title="NOMIN_4:attr.1">complex-containing</a>  &amp; <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">d1</font> &amp; <font color="Olive" title="b5">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">d1</font> &amp; <font color="Olive" title="b3">d1</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_4.html#K10" title="NOMIN_4:func.10">subtraction</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">b</font>)</span>)</span> holds <br/> for <font color="Olive" title="b6">x</font>, <font color="Olive" title="b7">y</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a>  st <font color="Olive" title="b6">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">d1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">a</font> &amp; <font color="Olive" title="b7">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">d1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">b</font> holds <br/><span class="p1">(<span class="default"><a href="nomin_4.html#K10" title="NOMIN_4:func.10">subtraction</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">b</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">d1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">x</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b7">y</font></div></div>
