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<b>let </b><font color="Maroon">A1</font> be    <a href="abcmiz_0.html#L1" target="_self">AdjectiveStr</a> , <font color="Maroon">A2</font> be    <a href="abcmiz_0.html#L1" target="_self">AdjectiveStr</a> ;<br/>

<b>assume </b><a NAME="E1:19"/><i><font color="Green">E32</font></i>: 
 <a href="abcmiz_0.html#G1" target="_self">AdjectiveStr</a>(# the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A1</font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">A1</font> #) <a href="hidden.html#R1">=</a>  <a href="abcmiz_0.html#G1" target="_self">AdjectiveStr</a>(# the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">A2</font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">A2</font> #)
 ;<br/>

<b>assume </b><a NAME="E2:19"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">a</font> being  <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">A1</font>  holds not  <a href="abcmiz_0.html#K1" target="_self">non-</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="abcmiz_0.html#D7" target="_self">ABCMIZ_0:def 7</a><br/>

<b>given </b><font color="Maroon">a</font> being   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">A2</font><b> such that </b><a NAME="E3:19"/><i><font color="Green">E43</font></i>: 
 <a href="abcmiz_0.html#K1" target="_self">non-</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="abcmiz_0.html#D7" target="_self">ABCMIZ_0:def 7</a><br/>

<b>reconsider </b><font color="Maroon">b</font> = <font color="Maroon">a</font> as   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">A1</font> <b>by </b><i/>;<br/>
<a NAME="E5:19"/>
 <a href="abcmiz_0.html#K1" target="_self">non-</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E6:19"/>
contradiction
 <b>by </b><i/>;<br/>


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