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<a NAME="E1:35_1_1"/><i><font color="Green">E34</font></i>: 
<a href="triang_1.html#K6" target="_self">NatEmbSeq</a>  <a href="funct_1.html#K1">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">f</font> where <font color="Olive">f</font> is    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <font color="Maroon">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p2">(<span class="default"><font color="Maroon">n</font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span></span>)</span> :  <a href="triang_1.html#K5" target="_self">@</a> <font color="Olive">f</font> is <a href="goboard1.html#V1">increasing</a> </span>}</span> 
 
<b>by </b><i/>;<br/>
<b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of <a href="triang_1.html#K6" target="_self">NatEmbSeq</a>  <a href="funct_1.html#K1">.</a> <font color="Maroon">n</font>;<br/>

<b>reconsider </b><font color="Maroon">n'</font> = <font color="Maroon">n</font> as    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  <b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/>
<a NAME="E3:35_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <a href="triang_1.html#K6" target="_self">NatEmbSeq</a>  <a href="funct_1.html#K1">.</a> <font color="Maroon">n'</font>
 
;<br/>
<b>then consider </b><font color="Maroon">f</font> being    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <font color="Maroon">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="finseq_1.html#K2">Seg</a> <span class="p2">(<span class="default"><font color="Maroon">n</font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span></span>)</span><b> such that </b><br/><a NAME="E5:35_1_1"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font>
 <b>and </b><br/><a NAME="E6:35_1_1"/>
 <a href="triang_1.html#K5" target="_self">@</a> <font color="Maroon">f</font> is <a href="goboard1.html#V1">increasing</a>
 <b>by </b><i/>;<br/>
<b>thus </b><a NAME="E7:35_1_1"/>
( <font color="Maroon">x</font> is <a href="funct_1.html#V1">Function-like</a> &amp; <font color="Maroon">x</font> is <a href="relat_1.html#V1">Relation-like</a> )
 <b>by </b><i/>;<br/>


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