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<b>let </b><font color="Maroon" title="c1">f1</font>, <font color="Maroon" title="c2">f2</font> be  <a href="seq_1.html#NV1" title="SEQ_1:NV.1">real-yielding</a> <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">f1</font> <a href="rfunct_1.html#K1" title="RFUNCT_1:func.1">/</a> <font color="Maroon" title="c2">f2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c1">f1</font></span>)</span> <a href="rfunct_1.html#K1" title="RFUNCT_1:func.1">/</a> <span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c2">f2</font></span>)</span></span><br/>



<b>thus </b> <a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">f1</font> <a href="rfunct_1.html#K1" title="RFUNCT_1:func.1">/</a> <font color="Maroon" title="c2">f2</font></span>)</span> = 
 <a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">f1</font> <a href="valued_1.html#K18" title="VALUED_1:func.18">(#)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">f2</font> <a href="rfunct_1.html#K3" title="RFUNCT_1:func.3">^</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rfunct_1.html#T47" target="_self" title="RFUNCT_1:th.47">Th47</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c1">f1</font></span>)</span> <a href="valued_1.html#K18" title="VALUED_1:func.18">(#)</a> <span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">f2</font> <a href="rfunct_1.html#K3" title="RFUNCT_1:func.3">^</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rfunct_1.html#T36" target="_self" title="RFUNCT_1:th.36">Th36</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c1">f1</font></span>)</span> <a href="valued_1.html#K18" title="VALUED_1:func.18">(#)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c2">f2</font></span>)</span> <a href="rfunct_1.html#K3" title="RFUNCT_1:func.3">^</a> </span>)</span>
<b>by </b><i><a class="ref" href="rfunct_1.html#T46" target="_self" title="RFUNCT_1:th.46">Th46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c1">f1</font></span>)</span> <a href="rfunct_1.html#K1" title="RFUNCT_1:func.1">/</a> <span class="p1">(<span class="default"><a href="valued_1.html#NK57" title="VALUED_1:NK.57">abs</a> <font color="Maroon" title="c2">f2</font></span>)</span>
<b>by </b><i><a class="ref" href="rfunct_1.html#T47" target="_self" title="RFUNCT_1:th.47">Th47</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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