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<span class="kw">set </span><font color="Maroon" title="c1">prd</font> =  <a href="comput_1.html#K13" title="COMPUT_1:func.13">PrimRec-Approximation</a> ;<br/>
<span class="kw">let </span><font color="Maroon" title="c2">f</font> be    <a href="comput_1.html#M1" title="COMPUT_1:mode.1">Element</a> of  <a href="comput_1.html#K9" title="COMPUT_1:func.9">PrimRec</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">f</font> is  <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">quasi_total</a>  &amp; <font color="Maroon" title="c2">f</font> is  <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>  )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c3">X</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <span class="kw"> such that </span><br/><a NAME="E2:139_1_1"/><span class="lab"><font color="Green" title="E88">A1</font></span>: 
<font color="Maroon" title="c2">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">X</font>
 <span class="kw">and </span><br/><a NAME="E3:139_1_1"/><span class="lab"><font color="Green" title="E89">A2</font></span>: 
<font color="Maroon" title="c3">X</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <a href="comput_1.html#K13" title="COMPUT_1:func.13">PrimRec-Approximation</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#T81" target="_self" title="COMPUT_1:th.81">Th81</a>, <a class="ref" href="tarski.html#D4" title="TARSKI:def.4">TARSKI:def 4</a></span>;<br/>
<a NAME="E4:139_1_1"/>
 ex <font color="Olive" title="b1">m</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  st <br/>( <font color="Olive" title="b1">m</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <a href="comput_1.html#K13" title="COMPUT_1:func.13">PrimRec-Approximation</a>  &amp; <a href="comput_1.html#K13" title="COMPUT_1:func.13">PrimRec-Approximation</a>  <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">X</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:139_1_1"><span class="lab"><font color="Green" title="E89">A2</font></span></a>, <a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:139_1_1"/>
( <font color="Maroon" title="c2">f</font> is  <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">quasi_total</a>  &amp; <font color="Maroon" title="c2">f</font> is  <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:139_1_1"><span class="lab"><font color="Green" title="E88">A1</font></span></a>, <a class="ref" href="comput_1.html#T82" target="_self" title="COMPUT_1:th.82">Th82</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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