<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">f</font>, <font color="Maroon" title="c2">m</font>, <font color="Maroon" title="c3">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">m</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 &amp; <font color="Maroon" title="c3">k</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 2 &amp; <font color="Maroon" title="c1">f</font> <a href="radix_6.html#R1" title="RADIX_6:pred.1">needs_digits_of</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font> implies <font color="Maroon" title="c1">f</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span> )</span><br/>

<b>assume </b><a NAME="E1:15"/><i><font color="Green" title="E15">A1</font></i>: 
( <font color="Maroon" title="c2">m</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 &amp; <font color="Maroon" title="c3">k</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 2 &amp; <font color="Maroon" title="c1">f</font> <a href="radix_6.html#R1" title="RADIX_6:pred.1">needs_digits_of</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">f</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span></span><br/>

<a NAME="E2:15"/>
for <font color="Olive" title="b1">i</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>  st <font color="Olive" title="b1">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c2">m</font> holds <br/> <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Olive" title="b1">i</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="15_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c4">i</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c2">m</font> implies  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> )</span><br/>

<b>assume </b><a NAME="E1:15_1"/><i><font color="Green" title="E16">A2</font></i>: 
<font color="Maroon" title="c4">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c2">m</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font></span><br/>

<a NAME="E2:15_1"/><b>then </b><i><font color="Green" title="E17">A3</font></i>: 
( <font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 &amp; <font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">m</font> )
 
<b>by </b><i><a class="ref" href="finseq_1.html#T3" title="FINSEQ_1:th.3">FINSEQ_1:3</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="15_1_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:15_1_1_1"/>
( <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">m</font> or <font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c2">m</font> )
 </span><b>by </b><i><a class="txt" href="radix_6.html#E2:15_1"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1_1"><b>suppose </b></a><a NAME="E1:15_1_1_1_1"/><i><font color="Green" title="E18">A4</font></i>: 
<font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">m</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font></span><br/><div class="add"><a NAME="E2:15_1_1_1_1"/><b>then </b>
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="radix_6.html#T6" target="_self" title="RADIX_6:th.6">Th6</a></i>;<br/><a NAME="E3:15_1_1_1_1"/><b>then </b><i><font color="Green" title="E19">A5</font></i>: 
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 <b>by </b><i><a class="ref" href="int_1.html#T20" title="INT_1:th.20">INT_1:20</a></i>;<br/> <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> = 
 <a href="radix_5.html#K5" title="RADIX_5:func.5">FminDigit</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">i</font>
<b>by </b><i><a class="txt" href="radix_6.html#E1:15_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="radix_5.html#D6" title="RADIX_5:def.6">RADIX_5:def 6</a></i>
<br/>.= 
1
<b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="radix_6.html#E1:15_1_1_1_1"><i><font color="Green" title="E18">A4</font></i></a>, <a class="ref" href="radix_5.html#D5" title="RADIX_5:def.5">RADIX_5:def 5</a></i>
;<br/><b>hence </b><a NAME="E5:15_1_1_1_1"/>
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font>
 <b>by </b><i><a class="txt" href="radix_6.html#E3:15_1_1_1_1"><i><font color="Green" title="E19">A5</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1_1_2"><b>suppose </b></a><a NAME="E1:15_1_1_1_2"/><i><font color="Green" title="E18">A6</font></i>: 
<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c2">m</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font></span><br/><div class="add"> <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> = 
 <a href="radix_5.html#K5" title="RADIX_5:func.5">FminDigit</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">i</font>
<b>by </b><i><a class="txt" href="radix_6.html#E1:15_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="radix_5.html#D6" title="RADIX_5:def.6">RADIX_5:def 6</a></i>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="radix_6.html#E1:15_1_1_1_2"><i><font color="Green" title="E18">A6</font></i></a>, <a class="ref" href="radix_5.html#D5" title="RADIX_5:def.5">RADIX_5:def 5</a></i>
;<br/><b>hence </b><a NAME="E3:15_1_1_1_2"/>
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font>
 <b>by </b><i><a class="txt" href="radix_6.html#E1:15_1"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="radix_6.html#T5" target="_self" title="RADIX_6:th.5">Th5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E4:15_1"/>
 <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K4" title="RADIX_1:func.4">DigA</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>,<font color="Maroon" title="c4">i</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<a NAME="E3:15"/><b>then </b>
 <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>
 
<b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="radix_5.html#T13" title="RADIX_5:th.13">RADIX_5:13</a></i>;<br/>
<a NAME="E4:15"/><b>then </b><i><font color="Green" title="E16">A7</font></i>: 
 <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_1.html#K10" title="RADIX_1:func.10">DecSD</a> <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>
 
<b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="radix_6.html#T1" target="_self" title="RADIX_6:th.1">Th1</a></i>;<br/>
<a NAME="E5:15"/>
<font color="Maroon" title="c1">f</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <span class="p1">(<span class="default"><a href="radix_1.html#K1" title="RADIX_1:func.1">Radix</a> <font color="Maroon" title="c3">k</font></span>)</span> <a href="newton.html#K2" title="NEWTON:func.2">|^</a> <font color="Maroon" title="c2">m</font>
 
<b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="radix_6.html#D7" target="_self" title="RADIX_6:def.7">Def7</a></i>;<br/>
<a NAME="E6:15"/><b>then </b>
<font color="Maroon" title="c1">f</font> <a href="radix_1.html#R1" title="RADIX_1:pred.1">is_represented_by</a> <font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font>
 
<b>by </b><i><a class="ref" href="radix_1.html#D12" title="RADIX_1:def.12">RADIX_1:def 12</a></i>;<br/>
<b>hence </b><a NAME="E7:15"/>
<font color="Maroon" title="c1">f</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="radix_1.html#K8" title="RADIX_1:func.8">SDDec</a> <span class="p1">(<span class="default"><a href="radix_5.html#K6" title="RADIX_5:func.6">Fmin</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span>,<font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c3">k</font></span>)</span>
 <b>by </b><i><a class="txt" href="radix_6.html#E1:15"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="radix_6.html#E4:15"><i><font color="Green" title="E16">A7</font></i></a>, <a class="ref" href="radix_1.html#T25" title="RADIX_1:th.25">RADIX_1:25</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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