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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">F</font> is  <a href="pralg_1.html#V1" title="PRALG_1:attr.1">Univ_Alg-yielding</a>  implies <font color="Maroon" title="c1">F</font> is  <a href="pralg_1.html#V2" title="PRALG_1:attr.2">1-sorted-yielding</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:24_1_1"/>
<font color="Maroon" title="c1">F</font> is  <a href="pralg_1.html#V1" title="PRALG_1:attr.1">Univ_Alg-yielding</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">F</font> is  <a href="pralg_1.html#V2" title="PRALG_1:attr.2">1-sorted-yielding</a> </span><br/>

<a NAME="E2:24_1_1"/><span class="kw">then </span>
 for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">F</font> holds <br/><font color="Maroon" title="c1">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">x</font> is    <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pralg_1.html#D10" target="_self" title="PRALG_1:def.10">Def10</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:24_1_1"/>
<font color="Maroon" title="c1">F</font> is  <a href="pralg_1.html#V2" title="PRALG_1:attr.2">1-sorted-yielding</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="pralg_1.html#D11" target="_self" title="PRALG_1:def.11">Def11</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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