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<b>let </b><font color="Maroon">N</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a>;<br/>

<b>set </b><font color="Maroon">f</font> =  <a href="yellow_2.html#K3">IdsMap</a> <font color="Maroon">N</font>;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_1.html#D1">WAYBEL_1:def 1</a><br/>

<b>assume </b><a NAME="E1:26"/><i><font color="Green">E28</font></i>: 
<span class="p1">(<span class="default"><a href="yellow_2.html#K3">IdsMap</a> <font color="Maroon">N</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="yellow_2.html#K3">IdsMap</a> <font color="Maroon">N</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E2:26"/>
( <span class="p1">(<span class="default"><a href="yellow_2.html#K3">IdsMap</a> <font color="Maroon">N</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">x</font> &amp; <span class="p1">(<span class="default"><a href="yellow_2.html#K3">IdsMap</a> <font color="Maroon">N</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">y</font> <a href="hidden.html#R1">=</a>  <a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">y</font> )
 
<b>by </b><i><a class="ref" href="yellow_2.html#D4">YELLOW_2:def 4</a></i>;<br/>
<b>hence </b><a NAME="E3:26"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font>
 <b>by </b><i>, <a class="ref" href="waybel_0.html#T19">WAYBEL_0:19</a></i>;<br/>


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