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<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:15_1_1_1"/>
( the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> is <a href="xboole_0.html#V1">empty</a> or  not the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> is <a href="xboole_0.html#V1">empty</a> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1_1"><b>suppose </b></a><a NAME="E1:15_1_1_1_1"/>
the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/><div class="add"><a NAME="E2:15_1_1_1_1"/><b>then </b>
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  &amp; not <font color="Maroon">a</font> <a href="hidden.html#R2">in</a> the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> )
 <b>by </b><i><a class="ref" href="funct_2.html#T67">FUNCT_2:67</a>, <a class="ref" href="subset_1.html#D2">SUBSET_1:def 2</a></i>;<br/><b>hence </b><a NAME="E3:15_1_1_1_1"/>
the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font> is   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">A</font>
 <b>by </b><i><a class="ref" href="funct_1.html#D4">FUNCT_1:def 4</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1_2"><b>suppose </b></a><a NAME="E1:15_1_1_1_2"/>
not the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:15_1_1_1_2"/>
the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font> is   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">A</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T7">FUNCT_2:7</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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