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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="unialg_1.html#NM2">Universal_Algebra</a>;<br/>





<b>assume </b><a NAME="E1:9"/>
( <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="unialg_2.html#R1" target="_self">are_similar</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="unialg_2.html#R1" target="_self">are_similar</a>  )
 ;<br/>

<a NAME="E2:9"/><b>then </b>
(  <a href="unialg_1.html#K3">signature</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">signature</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="unialg_1.html#K3">signature</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">signature</a> <font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="ref" href="unialg_2.html#D2" target="_self">Def2</a></i>;<br/>
<b>hence </b><a NAME="E3:9"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="unialg_2.html#R1" target="_self">are_similar</a> 
 <b>by </b><i><a class="ref" href="unialg_2.html#D2" target="_self">Def2</a></i>;<br/>


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