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<b>let </b><font color="Maroon">S1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> , <font color="Maroon">S2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/>

<b>given </b><font color="Maroon">f</font> being  <a href="funct_1.html#V2">one-to-one</a> <a href="funct_1.html#NM1">Function</a>, <font color="Maroon">g</font> being  <a href="funct_1.html#V2">one-to-one</a> <a href="funct_1.html#NM1">Function</a><b> such that </b><a NAME="E1:51_1_2"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">S1</font>,<font color="Maroon">S2</font> <a href="circtrm1.html#R1" target="_self">are_equivalent_wrt</a> <font color="Maroon">f</font>,<font color="Maroon">g</font>
 ;<br/>

<b>take </b>
<font color="Maroon">f</font> <a href="funct_1.html#K2">"</a> 
;<br/>

<b>take </b>
<font color="Maroon">g</font> <a href="funct_1.html#K2">"</a> 
;<br/>

<b>thus </b><a NAME="E2:51_1_2"/>
<font color="Maroon">S2</font>,<font color="Maroon">S1</font> <a href="circtrm1.html#R1" target="_self">are_equivalent_wrt</a> <font color="Maroon">f</font> <a href="funct_1.html#K2">"</a> ,<font color="Maroon">g</font> <a href="funct_1.html#K2">"</a> 
 <b>by </b><i>, </i>;<br/>


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