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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="nattra_1.html#V2" target="_self">discrete</a> <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>







<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="72_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>5</sub></font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><a NAME="E1:72_1"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="cat_1.html#K6">Hom</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> &amp;  <a href="cat_1.html#K6">Hom</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K10">id</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span><a href="tarski.html#K1">}</a></span> )
 <b>by </b><i><a class="ref" href="nattra_1.html#T3" target="_self">Th3</a>, <a class="ref" href="nattra_1.html#T44" target="_self">Th44</a></i>;<br/><b>hence </b><font color="Maroon">c<sub>4</sub></font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>5</sub></font> = 
 <a href="cat_1.html#K10">id</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="cat_1.html#K13">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="nattra_1.html#K7" target="_self">id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="nattra_1.html#T21" target="_self">Th21</a></i>
;<br/><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:72"/>
<font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R2">=</a>  <a href="nattra_1.html#K7" target="_self">id</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="nattra_1.html#T20" target="_self">Th20</a></i>;<br/>


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