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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">a</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">x1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>, <font color="Maroon">x2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>, <font color="Maroon">x3</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>;<br/>





<b>thus </b><span class="p1"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x1</font></span>)</span> <a href="euclid.html#K7">+</a> <span class="p3">(<span class="default"><font color="Maroon">b</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font></span>)</span></span>)</span>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span> = 
<span class="p1"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x1</font></span>)</span>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span> <a href="real_1.html#K3">+</a> <span class="p1"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">b</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font></span>)</span>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="xcmplx_0.html#K3">*</a> <span class="p2"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">b</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font></span>)</span>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="xcmplx_0.html#K3">*</a> <span class="p2"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="xcmplx_0.html#K3">*</a> <span class="p2"><a href="euclid_4.html#K5" target="_self">|(</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">x3</font></span><a href="euclid_4.html#K5" target="_self">)|</a></span></span>)</span>
<b>by </b><i/>
;<br/>


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