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

<span class="kw">let </span><font color="Maroon" title="c1">n</font>, <font color="Maroon" title="c2">m</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</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">  for <font color="Olive" title="b1">Y</font> being   <a href="mmlquery.html#V3" title="MMLQUERY:attr.3">ref-finite</a>   <a href="mmlquery.html#L1" title="MMLQUERY:struct.1">ConstructorDB</a> <br/>  for <font color="Olive" title="b2">B</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="mmlquery.html#U1" title="MMLQUERY:sel.1">Constrs</a> of <font color="Olive" title="b1">Y</font> holds   <a href="mmlquery.html#K34" title="MMLQUERY:func.34">EXACTLY</a> <font color="Olive" title="b2">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="mmlquery.html#K37" title="MMLQUERY:func.37">EXACTLY+-</a> (<font color="Olive" title="b2">B</font>,<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">m</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c3">Y</font> be   <a href="mmlquery.html#V3" title="MMLQUERY:attr.3">ref-finite</a>   <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">  for <font color="Olive" title="b1">B</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="mmlquery.html#U1" title="MMLQUERY:sel.1">Constrs</a> of <font color="Maroon" title="c3">Y</font> holds   <a href="mmlquery.html#K34" title="MMLQUERY:func.34">EXACTLY</a> <font color="Olive" title="b1">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="mmlquery.html#K37" title="MMLQUERY:func.37">EXACTLY+-</a> (<font color="Olive" title="b1">B</font>,<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">m</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c4">B</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="mmlquery.html#U1" title="MMLQUERY:sel.1">Constrs</a> of <font color="Maroon" title="c3">Y</font>; <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">  <a href="mmlquery.html#K34" title="MMLQUERY:func.34">EXACTLY</a> <font color="Maroon" title="c4">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="mmlquery.html#K37" title="MMLQUERY:func.37">EXACTLY+-</a> (<font color="Maroon" title="c4">B</font>,<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">m</font>)</span><br/>







<a NAME="E1:101"/>
(  <a href="mmlquery.html#K34" title="MMLQUERY:func.34">EXACTLY</a> <font color="Maroon" title="c4">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mmlquery.html#K37" title="MMLQUERY:func.37">EXACTLY+-</a> (<font color="Maroon" title="c4">B</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) &amp;  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c1">n</font> &amp;  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">m</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="mmlquery.html#T69" target="_self" onmouseover="rs('mmlquery/T69')" onmouseout="rh()">Th69</a>, <a class="ref" href="nat_1.html#T2" onmouseover="rs('nat_1/T2')" onmouseout="rh()">NAT_1:2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:101"/>
 <a href="mmlquery.html#K34" title="MMLQUERY:func.34">EXACTLY</a> <font color="Maroon" title="c4">B</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="mmlquery.html#K37" title="MMLQUERY:func.37">EXACTLY+-</a> (<font color="Maroon" title="c4">B</font>,<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">m</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="mmlquery.html#T72" target="_self" onmouseover="rs('mmlquery/T72')" onmouseout="rh()">Th72</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/>


</div>
