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<b>let </b><font color="Maroon">C</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">C</font>,<font color="Maroon">D</font>;<br/><b>let </b><font color="Maroon">f'</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">C</font>,<font color="Maroon">D</font>;<br/><b>let </b><font color="Maroon">F</font> be   <a href="binop_1.html#NM2">BinOp</a> of <font color="Maroon">D</font>;<br/><b>let </b><font color="Maroon">u</font> be   <a href="binop_1.html#NM1">UnOp</a> of <font color="Maroon">D</font>;<br/>











<b>assume </b><a NAME="E1:50"/>
for <font color="Olive">d1</font>, <font color="Olive">d2</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">D</font> holds  <font color="Maroon">u</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="binop_1.html#K2">.</a> <font color="Olive">d1</font>,<font color="Olive">d2</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="binop_1.html#K2">.</a> <span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="funct_2.html#K3">.</a> <font color="Olive">d1</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="funct_2.html#K3">.</a> <font color="Olive">d2</font></span>)</span>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="binop_1.html#D20">BINOP_1:def 20</a><br/>

<b>hence </b><a NAME="E2:50"/>
<font color="Maroon">u</font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funcop_1.html#K6">.:</a> <font color="Maroon">f</font>,<font color="Maroon">f'</font></span>)</span> <a href="funct_2.html#R2">=</a> <font color="Maroon">F</font> <a href="funcop_1.html#K6">.:</a> <span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f'</font></span>)</span>
 <b>by </b><i/>;<br/>


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