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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  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/>

<b>given </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></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="E1:52"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="circtrm1.html#R1" target="_self">are_equivalent_wrt</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="circtrm1.html#D10" target="_self">CIRCTRM1:def 10</a><br/>

<b>given </b><font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></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="E2:52"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="circtrm1.html#R1" target="_self">are_equivalent_wrt</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="circtrm1.html#D10" target="_self">CIRCTRM1:def 10</a><br/>

<b>take </b>
<font color="Maroon">c<sub>6</sub></font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="circtrm1.html#D10" target="_self">CIRCTRM1:def 10</a><br/>

<b>take </b>
<font color="Maroon">c<sub>7</sub></font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font>
;<br/>

<b>thus </b><a NAME="E3:52"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="circtrm1.html#R1" target="_self">are_equivalent_wrt</a> <font color="Maroon">c<sub>6</sub></font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="circtrm1.html#E1:52"><i><font color="Green">E33</font></i></a>, <a class="txt" href="circtrm1.html#E2:52"><i><font color="Green">E34</font></i></a>, <a class="ref" href="circtrm1.html#T28" target="_self">Th28</a></i>;<br/>


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