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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="E1:118"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">g</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">f</font>
 ;<br/>

<b>let </b><font color="Maroon">h</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:118"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">h</font> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K5">TotFuncs</a> <font color="Maroon">f</font>
 ;<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><a class="ref" href="partfun1.html#T168">PARTFUN1:168</a></i>;<br/>
<a NAME="E4:118"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">h'</font> is <a href="partfun1.html#V1">total</a>
 
<b>by </b><i>, <a class="ref" href="partfun1.html#T169">PARTFUN1:169</a></i>;<br/>
<a NAME="E5:118"/>
<font color="Maroon">f</font> <a href="partfun1.html#R1">tolerates</a> <font color="Maroon">h'</font>
 
<b>by </b><i>, <a class="ref" href="partfun1.html#T171">PARTFUN1:171</a></i>;<br/>
<a NAME="E6:118"/><b>then </b>
<font color="Maroon">g</font> <a href="partfun1.html#R1">tolerates</a> <font color="Maroon">h'</font>
 
<b>by </b><i>, <a class="ref" href="partfun1.html#T140">PARTFUN1:140</a></i>;<br/>
<b>hence </b><a NAME="E7:118"/>
<font color="Maroon">h</font> <a href="hidden.html#R2">in</a>  <a href="partfun1.html#K5">TotFuncs</a> <font color="Maroon">g</font>
 <b>by </b><i>, <a class="ref" href="partfun1.html#D7">PARTFUN1:def 7</a></i>;<br/>


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