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<span class="kw">let </span><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">c</font>, <font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</font>, <font color="Maroon" title="c6">z</font>, <font color="Maroon" title="c7">w</font>, <font color="Maroon" title="c8">d</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default">(<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font>) <a href="funct_4.html#K12" title="FUNCT_4:func.12">--&gt;</a> (<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font>,<font color="Maroon" title="c8">d</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default"><font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font></span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span></span><br/>















<span class="kw">set </span><font color="Maroon" title="c9">f</font> = (<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c10">g</font> = (<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c3">c</font>,<font color="Maroon" title="c8">d</font>);<br/>
<a NAME="E1:152"/><span class="lab"><font color="Green" title="E69">A1</font></span>: 
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default">(<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T62" target="_self" onmouseover="rs('funct_4/T62')" onmouseout="rh()">Th62</a></span>;<br/>
<a NAME="E2:152"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default">(<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c3">c</font>,<font color="Maroon" title="c8">d</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T62" target="_self" onmouseover="rs('funct_4/T62')" onmouseout="rh()">Th62</a></span>;<br/>
<a NAME="E3:152"/><span class="kw">then </span>
<span class="p1">(<span class="default"><a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p2">(<span class="default">(<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>)</span>)</span></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p2">(<span class="default">(<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Maroon" title="c3">c</font>,<font color="Maroon" title="c8">d</font>)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default"><font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font></span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:152"><span class="lab"><font color="Green" title="E69">A1</font></span></a>, <a class="ref" href="enumset1.html#T5" onmouseover="rs('enumset1/T5')" onmouseout="rh()">ENUMSET1:5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:152"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default">(<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font>) <a href="funct_4.html#K12" title="FUNCT_4:func.12">--&gt;</a> (<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font>,<font color="Maroon" title="c8">d</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K2" title="ENUMSET1:func.2">{</a><span class="default"><font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c7">w</font>,<font color="Maroon" title="c6">z</font></span><a href="enumset1.html#K2" title="ENUMSET1:func.2">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#D1" target="_self" onmouseover="rs('funct_4/D1')" onmouseout="rh()">Def1</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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