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<b>let </b><font color="Maroon">f</font> be   <a href="funct_1.html#NM1">Function</a>;<br/><b>let </b><font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E1:17"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">f</font> <a href="finseq_4.html#R2" target="_self">just_once_values</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E2:17"/><b>then </b><i><font color="Green">E33</font></i>: 
<font color="Maroon">f</font> <a href="finseq_4.html#K1" target="_self">&lt;-</a> <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font>
 
<b>by </b><i/>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:17_1"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">f</font> <a href="finseq_4.html#K1" target="_self">&lt;-</a> <font color="Maroon">y</font> )
 ;<br/><a NAME="E2:17_1"/><b>then </b>
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">y</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:17_1"/>
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="finseq_4.html#K1" target="_self">&lt;-</a> <font color="Maroon">y</font></span>)</span>
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:17"/>
<font color="Maroon">f</font> <a href="finseq_4.html#R1" target="_self">is_one-to-one_at</a> <font color="Maroon">f</font> <a href="finseq_4.html#K1" target="_self">&lt;-</a> <font color="Maroon">y</font>
 <b>by </b><i>, </i>;<br/>


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