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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="E1:113"/><i><font color="Green">E26</font></i>: 
<span class="p1">(<span class="default"><a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p1">(<span class="default"><a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">g</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a><br/>

<b>consider </b><font color="Maroon">h</font> being    <a href="subset_1.html#M1">Element</a> of <span class="p1">(<span class="default"><a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p1">(<span class="default"><a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">g</font></span>)</span>;<br/>
<a NAME="E3:113"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">h</font> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">f</font> &amp; <font color="Maroon">h</font> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K5" target="_self">TotFuncs</a> <font color="Maroon">g</font> )
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">h</font> = <font color="Maroon">h</font> as   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font> <b>by </b><i/>;<br/>
<a NAME="E5:113"/>
( <font color="Maroon">h</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="Maroon">h</font> &amp; <font color="Maroon">g</font> <a href="partfun1.html#R1" target="_self">tolerates</a> <font color="Maroon">h</font> )
 
<b>by </b><i>, <a class="ref" href="partfun1.html#T27" target="_self">Th27</a>, <a class="ref" href="partfun1.html#T30" target="_self">Th30</a></i>;<br/>
<b>hence </b><a NAME="E6:113"/>
<font color="Maroon">f</font> <a href="partfun1.html#R1" target="_self">tolerates</a> <font color="Maroon">g</font>
 <b>by </b><i><a class="txt" href="partfun1.html#E12"><i><font color="Green">Lemma47</font></i></a></i>;<br/>


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