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<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="134_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:134_1_1_1"/>
( ( <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> &amp; <font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> ) or  not <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> or  not <font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="134_1_1_1_1"><b>suppose </b></a><a NAME="E1:134_1_1_1_1"/>
( <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> &amp; <font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> )
 ;<br/><div class="add"><a NAME="E2:134_1_1_1_1"/><b>then </b>
 <a href="funct_7.html#K10" title="FUNCT_7:func.10">Swap</a> <font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">F</font> <a href="funct_7.html#K2" title="FUNCT_7:func.2">+*</a> <font color="Maroon" title="c2">x</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">y</font></span>)</span></span>)</span> <a href="funct_7.html#K2" title="FUNCT_7:func.2">+*</a> <font color="Maroon" title="c3">y</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font></span>)</span>
 <b>by </b><i><a class="ref" href="funct_7.html#D12" target="_self" title="FUNCT_7:def.12">Def12</a></i>;<br/><b>hence </b><a NAME="E3:134_1_1_1_1"/>
(  <a href="funct_7.html#K10" title="FUNCT_7:func.10">Swap</a> <font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> &amp;  <a href="funct_7.html#K10" title="FUNCT_7:func.10">Swap</a> <font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> )
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="134_1_1_1_2"><b>suppose </b></a><a NAME="E1:134_1_1_1_2"/>
(  not <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> or  not <font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> )
 ;<br/><div class="add"><b>hence </b><a NAME="E2:134_1_1_1_2"/>
(  <a href="funct_7.html#K10" title="FUNCT_7:func.10">Swap</a> <font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> &amp;  <a href="funct_7.html#K10" title="FUNCT_7:func.10">Swap</a> <font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> )
 <b>by </b><i><a class="ref" href="funct_7.html#D12" target="_self" title="FUNCT_7:def.12">Def12</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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