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<a NAME="E1:5_1_1"/>
<font color="Maroon">j</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">j</font>
 
<b>by </b><i><a class="ref" href="orders_2.html#T24">ORDERS_2:24</a></i>;<br/>
<b>then consider </b><font color="Maroon">f1</font> being   <a href="msualg_3.html#NM1">ManySortedFunction</a> of <span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">j</font></span>)</span>, <font color="Maroon">f2</font> being   <a href="msualg_3.html#NM1">ManySortedFunction</a> of <span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">j</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">j</font></span>)</span><b> such that </b><br/><a NAME="E3:5_1_1"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">f1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">j</font>,<font color="Maroon">i</font> &amp; <font color="Maroon">f2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">j</font>,<font color="Maroon">j</font> &amp; <font color="Maroon">B</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">j</font>,<font color="Maroon">i</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f2</font> <a href="msualg_3.html#K3">**</a> <font color="Maroon">f1</font> &amp; <font color="Maroon">f1</font> <a href="msualg_3.html#R1">is_homomorphism</a> <font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">i</font>,<font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">j</font> )
 <b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E4:5_1_1"/>
<font color="Maroon">B</font> <a href="binop_1.html#K1">.</a> <font color="Maroon">j</font>,<font color="Maroon">i</font> is   <a href="msualg_3.html#NM1">ManySortedFunction</a> of <span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">OAF</font> <a href="pralg_2.html#K6">.</a> <font color="Maroon">j</font></span>)</span>
 <b>by </b><i/>;<br/>


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