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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</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">  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <span class="p1">(<span class="default"><a href="algnum_1.html#K10" title="ALGNUM_1:func.10">FQ_Ring</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a></span><br/>

<span class="kw">thus </span> the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a> = 
<a href="binop_2.html#K5" title="BINOP_2:func.5">multcomplex</a> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a>,<a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T96" onmouseover="rs('zfmisc_1/T96')" onmouseout="rh()">ZFMISC_1:96</a>, <a class="ref" href="relat_1.html#T74" onmouseover="rs('relat_1/T74')" onmouseout="rh()">RELAT_1:74</a>, <a class="ref" href="vectsp_1.html#D5" onmouseover="rs('vectsp_1/D5')" onmouseout="rh()">VECTSP_1:def 5</a>, <a class="ref" href="ring_3.html#T3" onmouseover="rs('ring_3/T3')" onmouseout="rh()">RING_3:3</a>, <a class="ref" href="gaussint.html#T13" onmouseover="rs('gaussint/T13')" onmouseout="rh()">GAUSSINT:13</a></span>
<br/>.= 
 the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <span class="p1">(<span class="default"><a href="algnum_1.html#K10" title="ALGNUM_1:func.10">FQ_Ring</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a>
<span class="kw">by</span> <span class="lab"><a class="ref" href="algnum_1.html#T45" target="_self" onmouseover="rs('algnum_1/T45')" onmouseout="rh()">Lm56</a>, <a class="ref" href="relat_1.html#T74" onmouseover="rs('relat_1/T74')" onmouseout="rh()">RELAT_1:74</a></span>
; <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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