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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font>, <font color="Maroon">g</font> be   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font>;<br/>





<b>assume </b><a NAME="E1:107"/>
<font color="Maroon">g</font> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">f</font>
 ;<br/>

<a NAME="E2:107"/><b>then </b>
 ex <font color="Olive">g'</font> being  <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font> st <br/>( <font color="Olive">g'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font> &amp; <font color="Olive">g'</font> is <a href="partfun1.html#V1" target="_self">total</a> &amp; <font color="Maroon">f</font> <a href="partfun1.html#R1" target="_self">tolerates</a> <font color="Olive">g'</font> )
 
<b>by </b><i><a class="txt" href="partfun1.html#E13"><i><font color="Green">Lemma49</font></i></a></i>;<br/>
<b>hence </b><a NAME="E3:107"/>
<font color="Maroon">g</font> is <a href="partfun1.html#V1" target="_self">total</a>
 ;<br/>


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