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<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>3</sub></font> as    <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="txt" href="index_1.html#E1:68"><i><font color="Green">E35</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>5</sub></font> as    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>4</sub></font> ;<br/>
<b>let </b><font color="Maroon">c<sub>8</sub></font>, <font color="Maroon">c<sub>9</sub></font> be   <a href="index_1.html#NM9">Indexing</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><a NAME="E3:68_1_2"/><i><font color="Green">E36</font></i>: 
( ( for <font color="Olive">b<sub>1</sub></font> being   <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>2</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="cat_1.html#M2">Functor</a> of <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="funct_2.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> holds <br/><font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="cat_1.html#K14">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Olive">b<sub>1</sub></font></span>)</span></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">c<sub>1</sub></font> ) &amp; ( for <font color="Olive">b<sub>1</sub></font> being   <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>2</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="cat_1.html#M2">Functor</a> of <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">c<sub>4</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="funct_2.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> holds <br/><font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="cat_1.html#K14">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Olive">b<sub>1</sub></font></span>)</span></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">c<sub>1</sub></font> ) &amp; not <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> )
 ;<br/>

<a NAME="E4:68_1_2"/><b>then </b>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="cat_1.html#K14">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">c<sub>1</sub></font>
 
;<br/>
<b>hence </b><a NAME="E5:68_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="index_1.html#E3:68_1_2"><i><font color="Green">E36</font></i></a></i>;<br/>


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