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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be    <a href="mmlquery.html#L1" title="MMLQUERY:struct.1">ConstructorDB</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">X</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  implies <font color="Maroon" title="c1">X</font> is  <a href="mmlquery.html#V3" title="MMLQUERY:attr.3">ref-finite</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:88_1_1"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="struct_0.html#D11" onmouseover="rs('struct_0/D11')" onmouseout="rh()">STRUCT_0:def 11</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">X</font> is  <a href="mmlquery.html#V3" title="MMLQUERY:attr.3">ref-finite</a> </span><br/>

<span class="kw">let </span><font color="Maroon" title="c2">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="mmlquery.html#D30" target="_self" onmouseover="rs('mmlquery/D30')" onmouseout="rh()">MMLQUERY:def 30</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="c2">x</font> <a href="mmlquery.html#K30" title="MMLQUERY:func.30">ref</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </span><br/>

<span class="kw">thus </span><a NAME="E2:88_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="mmlquery.html#K30" title="MMLQUERY:func.30">ref</a>  is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:88_1_1"><span class="lab"><font color="Green" title="E33">A1</font></span></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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