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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="parsp_1.html#NM2">ParSp</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>













<b>assume </b><a NAME="E1:54"/><i><font color="Green">E46</font></i>: 
( not <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>7</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>6</sub></font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="54_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:54_1"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font>
 ;<br/><a NAME="E2:54_1"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> )
 <b>by </b><i><a class="txt" href="parsp_1.html#E1:54"><i><font color="Green">E46</font></i></a>, <a class="ref" href="parsp_1.html#T40" target="_self">Th40</a></i>;<br/><a NAME="E3:54_1"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="parsp_1.html#E1:54"><i><font color="Green">E46</font></i></a>, <a class="ref" href="parsp_1.html#D12" target="_self">Def12</a></i>;<br/><b>hence </b><a NAME="E4:54_1"/>
contradiction
 <b>by </b><i><a class="txt" href="parsp_1.html#E1:54"><i><font color="Green">E46</font></i></a>, <a class="ref" href="parsp_1.html#T41" target="_self">Th41</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:54"/>
not <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>7</sub></font>
 <b>by </b><i><a class="txt" href="parsp_1.html#E1:54"><i><font color="Green">E46</font></i></a>, <a class="ref" href="parsp_1.html#T48" target="_self">Th48</a></i>;<br/>


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