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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="intpro_1.html#K1" target="_self">MC-wff</a> ;<br/><b>let </b><font color="Maroon">q</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="intpro_1.html#K1" target="_self">MC-wff</a> ;<br/><b>let </b><font color="Maroon">s</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="intpro_1.html#K1" target="_self">MC-wff</a> ;<br/>





<b>set </b><font color="Maroon">P</font> = <font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font>;<br/>
<b>set </b><font color="Maroon">Q</font> = <font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font>;<br/>
<a NAME="E1:106"/>
<font color="Maroon">s</font> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E2:106"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E3:106"/><b>then </b><i><font color="Green">E26</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E4:106"/>
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T1" target="_self">Th1</a></i>;<br/>
<a NAME="E5:106"/><b>then </b><i><font color="Green">E28</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T9" target="_self">Th9</a>, </i>;<br/>
<a NAME="E6:106"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">p</font> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E7:106"/>
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E8:106"/><b>then </b>
<font color="Maroon">p</font> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T11" target="_self">Th11</a>, </i>;<br/>
<a NAME="E9:106"/><b>then </b><i><font color="Green">E30</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">p</font></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E10:106"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E11:106"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">p</font></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 
<b>by </b><i><a class="ref" href="intpro_1.html#T12" target="_self">Th12</a>, </i>;<br/>
<b>hence </b><a NAME="E12:106"/>
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="intpro_1.html#K3" target="_self">=&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="intpro_1.html#K5" target="_self">'or'</a> <font color="Maroon">s</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a>  <a href="intpro_1.html#K8" target="_self">IPC-Taut</a> 
 <b>by </b><i><a class="ref" href="intpro_1.html#T10" target="_self">Th10</a>, </i>;<br/>


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