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<b>let </b><font color="Maroon">l1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">l2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>given </b><font color="Maroon">p1</font> being    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><a NAME="E1:67_1_2"/><i><font color="Green">E83</font></i>: 
( <font color="Maroon">p1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l1</font> )
 ;<br/>

<b>assume </b><a NAME="E2:67_1_2"/><i><font color="Green">E85</font></i>: 
for <font color="Olive">p</font> being   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">p</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font> holds <br/> <a href="finseq_1.html#K3">len</a> <font color="Olive">p</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">l1</font>
 ;<br/>

<b>given </b><font color="Maroon">p2</font> being    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><a NAME="E3:67_1_2"/><i><font color="Green">E86</font></i>: 
( <font color="Maroon">p2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font> &amp;  <a href="finseq_1.html#K3">len</a> <font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l2</font> )
 ;<br/>

<b>assume </b><a NAME="E4:67_1_2"/>
for <font color="Olive">p</font> being   <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">p</font> <a href="hidden.html#R2">in</a> <font color="Maroon">T</font> holds <br/> <a href="finseq_1.html#K3">len</a> <font color="Olive">p</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">l2</font>
 ;<br/>

<a NAME="E5:67_1_2"/><b>then </b>
( <font color="Maroon">l1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">l2</font> &amp; <font color="Maroon">l2</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">l1</font> )
 
<b>by </b><i><a class="ref" href="trees_1.html#T6" target="_self">Th6</a>, <a class="ref" href="trees_1.html#D1" target="_self">Def1</a>, <a class="ref" href="trees_1.html#T8" target="_self">Th8</a></i>;<br/>
<b>hence </b><a NAME="E6:67_1_2"/>
<font color="Maroon">l1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l2</font>
 <b>by </b><i><a class="ref" href="xxreal_0.html#T1">XXREAL_0:1</a></i>;<br/>


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