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<a NAME="E1:8_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="valued_1.html#NK8" title="VALUED_1:NK.8">+</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="afinsq_1.html#K1" title="AFINSQ_1:func.1">len</a> <font color="Maroon" title="c1">f</font>
 
<b>by </b><i><a class="ref" href="valued_1.html#D2" title="VALUED_1:def.2">VALUED_1:def 2</a></i>;<br/>
<a NAME="E2:8_1_1"/><b>then </b><i><font color="Green" title="E6">B5</font></i>: 
<font color="Maroon" title="c1">f</font> <a href="valued_1.html#NK8" title="VALUED_1:NK.8">+</a> <font color="Maroon" title="c2">a</font> is   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a>
 
<b>by </b><i><a class="ref" href="afinsq_1.html#T7" title="AFINSQ_1:th.7">AFINSQ_1:7</a></i>;<br/>
<a NAME="E3:8_1_1"/>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="valued_1.html#NK8" title="VALUED_1:NK.8">+</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<b>by </b><i><a class="ref" href="valued_0.html#D3" title="VALUED_0:def.3">VALUED_0:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:8_1_1"/>
<font color="Maroon" title="c2">a</font> <a href="valued_1.html#K7" title="VALUED_1:func.7">+</a> <font color="Maroon" title="c1">f</font> is   <a href="afinsq_1.html#NM2" title="AFINSQ_1:NM.2">XFinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="#E2:8_1_1"><i><font color="Green" title="E6">B5</font></i></a>, <a class="ref" href="ordinal1.html#D8" title="ORDINAL1:def.8">ORDINAL1:def 8</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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