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<b>let </b><font color="Maroon">G1</font> be   <a href="binop_1.html#NM1">UnOp</a> of  <a href="numbers.html#K1">REAL</a> , <font color="Maroon">G2</font> be   <a href="binop_1.html#NM1">UnOp</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:4_1_2"/><i><font color="Green">E51</font></i>: 
( ( for <font color="Olive">r</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  holds  <font color="Maroon">G1</font> <a href="seq_1.html#K2">.</a> <font color="Olive">r</font> <a href="hidden.html#R1">=</a> <font color="Olive">r</font> <a href="square_1.html#K5">^2</a>  ) &amp; ( for <font color="Olive">r</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  holds  <font color="Maroon">G2</font> <a href="seq_1.html#K2">.</a> <font color="Olive">r</font> <a href="hidden.html#R1">=</a> <font color="Olive">r</font> <a href="square_1.html#K5">^2</a>  ) )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="4_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a> ;<br/><a NAME="E1:4_1_2_1"/>
( <font color="Maroon">G1</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="square_1.html#K5">^2</a>  &amp; <font color="Maroon">G2</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="square_1.html#K5">^2</a>  &amp; <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> )
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E2:4_1_2_1"/>
<font color="Maroon">G1</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:4_1_2"/>
<font color="Maroon">G1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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