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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be   <a href="nelson_1.html#NM3" title="NELSON_1:NM.3">Nelson_Algebra</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">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Olive" title="b1">a</font></span>)</span></span>)</span> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <font color="Olive" title="b1">a</font></span>)</span> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Olive" title="b1">a</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">L</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>; <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"> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span></span>)</span> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">L</font></span><br/>



<a NAME="E1:78"/><span class="lab"><font color="Green" title="E60">A1</font></span>: 
 <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p1">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a> <font color="Maroon" title="c2">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nelson_1.html#D18" target="_self" onmouseover="rs('nelson_1/D18')" onmouseout="rh()">Def12</a></span>;<br/>
<a NAME="E2:78"/>
<font color="Maroon" title="c2">a</font> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a>  <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p1">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nelson_1.html#D17" target="_self" onmouseover="rs('nelson_1/D17')" onmouseout="rh()">Def11</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:78"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span></span>)</span> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="nelson_1.html#K1" title="NELSON_1:func.1">=&gt;</a> <span class="p2">(<span class="default"><a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <span class="p3">(<span class="default"><a href="nelson_1.html#K2" title="NELSON_1:func.2">!</a> <font color="Maroon" title="c2">a</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">L</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:78"><span class="lab"><font color="Green" title="E60">A1</font></span></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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