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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="relat_2.html#V3" title="RELAT_2:attr.3">symmetric</a>  <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</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">  for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds   <a href="relat_1.html#K9" title="RELAT_1:func.9">Im</a> (<font color="Maroon" title="c1">R</font>,<font color="Olive" title="b1">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K10" title="RELAT_1:func.10">Coim</a> (<font color="Maroon" title="c1">R</font>,<font color="Olive" title="b1">x</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">x</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#K9" title="RELAT_1:func.9">Im</a> (<font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K10" title="RELAT_1:func.10">Coim</a> (<font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">x</font>)</span><br/>



<span class="kw">thus </span> <a href="relat_1.html#K9" title="RELAT_1:func.9">Im</a> (<font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">x</font>) = 
<font color="Maroon" title="c1">R</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#D16" onmouseover="rs('relat_1/D16')" onmouseout="rh()">RELAT_1:def 16</a></span>
<br/>.= 
<font color="Maroon" title="c1">R</font> <a href="relat_1.html#K8" title="RELAT_1:func.8">"</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="friends1.html#T2" onmouseover="rs('friends1/T2')" onmouseout="rh()">FRIENDS1:2</a></span>
<br/>.= 
 <a href="relat_1.html#K10" title="RELAT_1:func.10">Coim</a> (<font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">x</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#D17" onmouseover="rs('relat_1/D17')" onmouseout="rh()">RELAT_1:def 17</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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