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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="ordinal1.html#NM4" title="ORDINAL1:NM.4">Sequence</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"> ( <font color="Maroon" title="c1">F</font> is  <a href="valued_0.html#V4" title="VALUED_0:attr.4">natural-valued</a>  implies <font color="Maroon" title="c1">F</font> is  <a href="ordinal2.html#V1" title="ORDINAL2:attr.1">Ordinal-yielding</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:27_1_1"/>
<font color="Maroon" title="c1">F</font> is  <a href="valued_0.html#V4" title="VALUED_0:attr.4">natural-valued</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"> <font color="Maroon" title="c1">F</font> is  <a href="ordinal2.html#V1" title="ORDINAL2:attr.1">Ordinal-yielding</a> </span><br/>

<a NAME="E2:27_1_1"/><span class="kw">then </span>
 <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c1">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="valued_0.html#D6" onmouseover="rs('valued_0/D6')" onmouseout="rh()">VALUED_0:def 6</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:27_1_1"/>
<font color="Maroon" title="c1">F</font> is  <a href="ordinal2.html#V1" title="ORDINAL2:attr.1">Ordinal-yielding</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal2.html#D4" onmouseover="rs('ordinal2/D4')" onmouseout="rh()">ORDINAL2:def 4</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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