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<b>let </b><font color="Maroon">w1</font> be   <a href="supinf_1.html#NM3">R_eal</a>, <font color="Maroon">w2</font> be   <a href="supinf_1.html#NM3">R_eal</a>;<br/><b>let </b><font color="Maroon">wr1</font> be   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">wr2</font> be   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">p1</font> be   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">p2</font> be   <a href="real_1.html#NM1">Real</a>;<br/>



<b>assume </b><a NAME="E1:40"/>
( <font color="Maroon">w1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">wr1</font> &amp; <font color="Maroon">w2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">wr2</font> )
 ;<br/>

<a NAME="E2:40"/><b>then </b>
( <font color="Maroon">p1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">wr1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="measure6.html#K1">R_EAL</a> <font color="Maroon">p1</font></span>)</span> <a href="extreal1.html#K2">*</a> <font color="Maroon">w1</font> &amp; <font color="Maroon">p2</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">wr2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="measure6.html#K1">R_EAL</a> <font color="Maroon">p2</font></span>)</span> <a href="extreal1.html#K2">*</a> <font color="Maroon">w2</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:40"/>
<span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">wr1</font></span>)</span> <a href="binop_2.html#K9">+</a> <span class="p1">(<span class="default"><font color="Maroon">p2</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">wr2</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K1">R_EAL</a> <font color="Maroon">p1</font></span>)</span> <a href="extreal1.html#K2">*</a> <font color="Maroon">w1</font></span>)</span> <a href="supinf_2.html#K2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K1">R_EAL</a> <font color="Maroon">p2</font></span>)</span> <a href="extreal1.html#K2">*</a> <font color="Maroon">w2</font></span>)</span>
 <b>by </b><i><a class="ref" href="supinf_2.html#T1">SUPINF_2:1</a></i>;<br/>


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