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<b>set </b><font color="Maroon" title="c4">F</font> =  <a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font>;<br/>
<a NAME="E1:78_1_1"/><i><font color="Green" title="E8">A1</font></i>: 
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <font color="Maroon" title="c3">f</font>
 
<b>by </b><i><a class="ref" href="partfun3.html#D5" target="_self" title="PARTFUN3:def.5">Def5</a></i>;<br/>
<a NAME="E2:78_1_1"/>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<b>by </b><i><a class="ref" href="valued_0.html#D3" title="VALUED_0:def.3">VALUED_0:def 3</a></i>;<br/>
<a NAME="E3:78_1_1"/><b>then </b>
 <a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font> is   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font></span>)</span>, <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<b>by </b><i><a class="ref" href="relset_1.html#T11" title="RELSET_1:th.11">RELSET_1:11</a></i>;<br/>
<b>hence </b><a NAME="E4:78_1_1"/>
 <a href="partfun3.html#K1" title="PARTFUN3:func.1">sqrt</a> <font color="Maroon" title="c3">f</font> is   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <font color="Maroon" title="c1">C</font>, <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>by </b><i><a class="txt" href="#E1:78_1_1"><i><font color="Green" title="E8">A1</font></i></a>, <a class="ref" href="relset_1.html#T13" title="RELSET_1:th.13">RELSET_1:13</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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