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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="sheffer1.html#V10">satisfying_Sheffer_1</a> <a href="sheffer1.html#V11">satisfying_Sheffer_2</a> <a href="sheffer1.html#V12">satisfying_Sheffer_3</a>  <a href="sheffer1.html#L1">ShefferStr</a> ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="165_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">q</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">z</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><a NAME="E1:165_1"/>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="sheffer1.html#K5">|</a> <font color="Maroon">y</font></span>)</span> <a href="sheffer1.html#K5">|</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="sheffer1.html#K5">|</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="sheffer1.html#K5">|</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="sheffer1.html#K5">|</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="sheffer1.html#K5">|</a> <font color="Maroon">z</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 <b>by </b><i><a class="ref" href="sheffer2.html#T93" target="_self">Th93</a></i>;<br/><b>hence </b><a NAME="E2:165_1"/>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="sheffer1.html#K5">|</a> <font color="Maroon">y</font></span>)</span> <a href="sheffer1.html#K5">|</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="sheffer1.html#K5">|</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="sheffer1.html#K5">|</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 <b>by </b><i><a class="ref" href="sheffer2.html#T140" target="_self">Th140</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:165"/>
for <font color="Olive">x</font>, <font color="Olive">q</font>, <font color="Olive">y</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds  <span class="p1">(<span class="default"><font color="Olive">x</font> <a href="sheffer1.html#K5">|</a> <font color="Olive">y</font></span>)</span> <a href="sheffer1.html#K5">|</a> <span class="p1">(<span class="default"><font color="Olive">x</font> <a href="sheffer1.html#K5">|</a> <span class="p2">(<span class="default"><font color="Olive">y</font> <a href="sheffer1.html#K5">|</a> <font color="Olive">q</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">x</font>
 ;<br/>


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