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<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="sheffer1.html#V10" title="SHEFFER1:attr.10">satisfying_Sheffer_1</a> <a href="sheffer1.html#V11" title="SHEFFER1:attr.11">satisfying_Sheffer_2</a> <a href="sheffer1.html#V12" title="SHEFFER1:attr.12">satisfying_Sheffer_3</a>  <a href="sheffer1.html#L1" title="SHEFFER1:struct.1">ShefferStr</a> ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="157_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c2">y</font>, <font color="Maroon" title="c3">z</font>, <font color="Maroon" title="c4">p</font>, <font color="Maroon" title="c5">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/><a NAME="E1:157_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c5">x</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Maroon" title="c2">y</font></span>)</span></span>)</span></span>)</span> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">x</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Maroon" title="c2">y</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">x</font>
 <b>by </b><i><a class="ref" href="sheffer2.html#T136" target="_self" title="SHEFFER2:th.136">Th136</a></i>;<br/><b>hence </b><a NAME="E2:157_1"/>
<font color="Maroon" title="c3">z</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">x</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Maroon" title="c4">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">z</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">p</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Maroon" title="c5">x</font></span>)</span>
 <b>by </b><i><a class="ref" href="sheffer2.html#T151" target="_self" title="SHEFFER2:th.151">Th151</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:157"/>
for <font color="Olive" title="b1">z</font>, <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> holds  <font color="Olive" title="b1">z</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">z</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="sheffer1.html#K5" title="SHEFFER1:func.5">|</a> <font color="Olive" title="b3">x</font></span>)</span>
 ;<br/>


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