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<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">R</font> is <a href="valued_0.html#V5" title="VALUED_0:attr.5">integer-valued</a> implies <font color="Maroon" title="c1">R</font> is <a href="valued_0.html#V4" title="VALUED_0:attr.4">rational-valued</a> )</span><br/>

<b>assume </b><a NAME="E1:2_2_1"/>
 <a href="relat_1.html#NK4" title="RELAT_1:NK.4">rng</a> <font color="Maroon" title="c1">R</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="valued_0.html#D5" target="_self" title="VALUED_0:def.5">VALUED_0:def 5</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">R</font> is <a href="valued_0.html#V4" title="VALUED_0:attr.4">rational-valued</a></span><br/>

<b>hence </b><a NAME="E2:2_2_1"/>
 <a href="relat_1.html#NK4" title="RELAT_1:NK.4">rng</a> <font color="Maroon" title="c1">R</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a> 
 <b>by </b><i><a class="ref" href="numbers.html#T14" title="NUMBERS:th.14">NUMBERS:14</a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="valued_0.html#D4" target="_self" title="VALUED_0:def.4">VALUED_0:def 4</a> <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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