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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="substut1.html#NM1">CQC_Substitution</a>;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span>;<br/>
<a NAME="E1:23"/>
( <span class="p1">(<span class="default"><a href="sublemma.html#K6">Sub_not</a> <span class="p2"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span></span>)</span> <a href="sublemma.html#K2">`1</a>  <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K10">'not'</a> <span class="p1">(<span class="default"><span class="p2"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="sublemma.html#K2">`1</a> </span>)</span> &amp; <span class="p1">(<span class="default"><a href="sublemma.html#K6">Sub_not</a> <span class="p2"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span></span>)</span> <a href="substut2.html#K5" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="substut2.html#K5" target="_self">`2</a>  )
 
<b>by </b><i><a class="ref" href="sublemma.html#T17">SUBLEMMA:17</a></i>;<br/>
<a NAME="E2:23"/><b>then </b><i><font color="Green">E15</font></i>: 
( <span class="p1">(<span class="default"><a href="sublemma.html#K6">Sub_not</a> <span class="p2"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span></span>)</span> <a href="sublemma.html#K2">`1</a>  <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K10">'not'</a> <font color="Maroon">c<sub>1</sub></font> &amp; <span class="p1">(<span class="default"><a href="sublemma.html#K6">Sub_not</a> <span class="p2"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span></span>)</span> <a href="substut2.html#K5" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E3:23"/>
 <a href="sublemma.html#K6">Sub_not</a> <span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <span class="p3">(<span class="default"><span class="p4"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="sublemma.html#K2">`1</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="substut2.html#K5" target="_self">`2</a> </span>)</span></span><a href="substut2.html#K2" target="_self">]</a></span>
 
<b>by </b><i><a class="ref" href="substut1.html#D20">SUBSTUT1:def 20</a></i>;<br/>
<b>hence </b><a NAME="E4:23"/>
<span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span> <a href="hidden.html#R1">=</a>  <a href="sublemma.html#K6">Sub_not</a> <span class="p1"><a href="substut2.html#K2" target="_self">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="substut2.html#K2" target="_self">]</a></span>
 <b>by </b><i><a class="txt" href="substut2.html#E2:23"><i><font color="Green">E15</font></i></a>, <a class="ref" href="mcart_1.html#T8">MCART_1:8</a></i>;<br/>


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