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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</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">  for <font color="Olive" title="b1">F</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds <br/> (  <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Olive" title="b1">F</font>,<font color="Maroon" title="c1">L</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Olive" title="b1">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>) &amp;  <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Olive" title="b1">F</font>,<font color="Maroon" title="c1">L</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Olive" title="b1">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>) )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">F</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</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="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c1">L</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Maroon" title="c2">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>) &amp;  <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c1">L</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Maroon" title="c2">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>) )</span><br/>



<span class="kw">thus </span> <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c1">L</font>) = 
 <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> (<span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c2">F</font></span>)</span>,<font color="Maroon" title="c1">L</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_2.html#D5" onmouseover="rs('yellow_2/D5')" onmouseout="rh()">YELLOW_2:def 5</a></span>
<br/>.= 
 <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> (<span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c2">F</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_0.html#T17" onmouseover="rs('yellow_0/T17')" onmouseout="rh()">YELLOW_0:17</a>, <a class="ref" href="yellow_7.html#T12" target="_self" onmouseover="rs('yellow_7/T12')" onmouseout="rh()">Th12</a></span>
<br/>.= 
 <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Maroon" title="c2">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_2.html#D6" onmouseover="rs('yellow_2/D6')" onmouseout="rh()">YELLOW_2:def 6</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">  <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c1">L</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Maroon" title="c2">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>)</span><br/>

<span class="kw">thus </span> <a href="yellow_2.html#K5" title="YELLOW_2:func.5">//\</a> (<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c1">L</font>) = 
 <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> (<span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c2">F</font></span>)</span>,<font color="Maroon" title="c1">L</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_2.html#D6" onmouseover="rs('yellow_2/D6')" onmouseout="rh()">YELLOW_2:def 6</a></span>
<br/>.= 
 <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> (<span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c2">F</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_0.html#T17" onmouseover="rs('yellow_0/T17')" onmouseout="rh()">YELLOW_0:17</a>, <a class="ref" href="yellow_7.html#T13" target="_self" onmouseover="rs('yellow_7/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="yellow_2.html#K4" title="YELLOW_2:func.4">\\/</a> (<font color="Maroon" title="c2">F</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_2.html#D5" onmouseover="rs('yellow_2/D5')" onmouseout="rh()">YELLOW_2:def 5</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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