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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="altcat_1.html#NM4">category</a>;<br/>

<b>assume </b><a NAME="E1:40"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="yellow18.html#R2" target="_self">are_opposite</a> 
 ;<br/>

<a NAME="E2:40"/><b>then </b>
 <a href="yellow18.html#K2" target="_self">dualizing-func</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is <a href="functor0.html#V21">bijective</a>
 
<b>by </b><i><a class="ref" href="yellow18.html#T16" target="_self">Th16</a></i>;<br/>
<b>hence </b><a NAME="E3:40"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="functor0.html#R2">are_anti-isomorphic</a> 
 <b>by </b><i><a class="ref" href="functor0.html#D41">FUNCTOR0:def 41</a></i>;<br/>


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