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<b>let </b><font color="Maroon" title="c2">f</font> be    <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="comput_1.html#K3" title="COMPUT_1:func.3">HFuncs</a> <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">f</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a></span><br/>

<a NAME="E1:55_1_1"/>
(  <a href="comput_1.html#K3" title="COMPUT_1:func.3">HFuncs</a> <font color="Maroon" title="c1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">g</font> where <font color="Olive" title="b1">g</font> is    <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="rfunct_3.html#K4" title="RFUNCT_3:func.4">PFuncs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">X</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span>,<font color="Maroon" title="c1">X</font> : <font color="Olive" title="b1">g</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a> </span>}</span>  &amp; <font color="Maroon" title="c2">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="comput_1.html#K3" title="COMPUT_1:func.3">HFuncs</a> <font color="Maroon" title="c1">X</font> )
 
;<br/>
<a NAME="E2:55_1_1"/><b>then </b>
 ex <font color="Olive" title="b1">g</font> being   <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="rfunct_3.html#K4" title="RFUNCT_3:func.4">PFuncs</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">X</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span>,<font color="Maroon" title="c1">X</font> st <br/>( <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font> &amp; <font color="Olive" title="b1">g</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a> )
 
;<br/>
<b>hence </b><a NAME="E3:55_1_1"/>
<font color="Maroon" title="c2">f</font> is <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">homogeneous</a>
 ; <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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