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<span class="kw">let </span><font color="Maroon" title="c3">z</font>, <font color="Maroon" title="c4">w</font> be   <a href="gaussint.html#NM3" title="GAUSSINT:NM.3">G_RAT</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <a href="gaussint.html#K9" title="GAUSSINT:func.9">g_rat_add</a> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c4">w</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">z</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">w</font></span><br/>

<a NAME="E1:78"/>
( <font color="Maroon" title="c3">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="gaussint.html#K8" title="GAUSSINT:func.8">G_RAT_SET</a>  &amp; <font color="Maroon" title="c4">w</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="gaussint.html#K8" title="GAUSSINT:func.8">G_RAT_SET</a>  )
 
;<br/>
<span class="kw">hence </span><a href="gaussint.html#K9" title="GAUSSINT:func.9">g_rat_add</a> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c4">w</font>) = 
<a href="binop_2.html#K3" title="BINOP_2:func.3">addcomplex</a> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c4">w</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_1.html#T49" onmouseover="rs('funct_1/T49')" onmouseout="rh()">FUNCT_1:49</a>, <a class="ref" href="zfmisc_1.html#T87" onmouseover="rs('zfmisc_1/T87')" onmouseout="rh()">ZFMISC_1:87</a></span>
<br/>.= 
<font color="Maroon" title="c3">z</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c4">w</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="binop_2.html#D3" onmouseover="rs('binop_2/D3')" onmouseout="rh()">BINOP_2:def 3</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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