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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</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"> ( <font color="Maroon" title="c1">R</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a>  implies  <a href="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <span class="p1">(<span class="default"><a href="roughs_5.html#K5" title="ROUGHS_5:func.5">f_0</a> <font color="Maroon" title="c1">R</font></span>)</span> <a href="altcat_2.html#R2" title="ALTCAT_2:pred.2">cc=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font></span>)</span> )</span><br/>

<span class="kw">assume </span><a NAME="E1:22"/><span class="lab"><font color="Green" title="E14">A0</font></span>: 
<font color="Maroon" title="c1">R</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</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="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <span class="p1">(<span class="default"><a href="roughs_5.html#K5" title="ROUGHS_5:func.5">f_0</a> <font color="Maroon" title="c1">R</font></span>)</span> <a href="altcat_2.html#R2" title="ALTCAT_2:pred.2">cc=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font></span>)</span></span><br/>

<a NAME="E2:22"/>
 <a href="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <span class="p1">(<span class="default"><a href="roughs_5.html#K5" title="ROUGHS_5:func.5">f_0</a> <font color="Maroon" title="c1">R</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="roughs_2.html#K3" title="ROUGHS_2:func.3">LAp</a> <font color="Maroon" title="c1">R</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="roughs_5.html#T14" target="_self" onmouseover="rs('roughs_5/T14')" onmouseout="rh()">FlipLAp</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:22"/>
 <a href="roughs_2.html#K5" title="ROUGHS_2:func.5">Flip</a> <span class="p1">(<span class="default"><a href="roughs_5.html#K5" title="ROUGHS_5:func.5">f_0</a> <font color="Maroon" title="c1">R</font></span>)</span> <a href="altcat_2.html#R2" title="ALTCAT_2:pred.2">cc=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:22"><span class="lab"><font color="Green" title="E14">A0</font></span></a>, <a class="ref" href="roughs_5.html#T2" target="_self" onmouseover="rs('roughs_5/T2')" onmouseout="rh()">LApId</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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