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<a NAME="E1:46_1_1"/>
 <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> is  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">without_zero</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E2:46_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">without_zero</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</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"> verum</span><br/>


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