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<b>let </b><font color="Maroon" title="c1">S</font> be    <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">F</font> being  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c1">S</font> holds  <font color="Olive" title="b1">F</font> <a href="vectsp11.html#K1" title="VECTSP11:func.1">|^</a> 1 <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b1">F</font></span><br/><b>let </b><font color="Maroon" title="c2">F</font> be   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c1">S</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> <a href="vectsp11.html#K1" title="VECTSP11:func.1">|^</a> 1 <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c2">F</font></span><br/>



<b>set </b><font color="Maroon" title="c3">G</font> =  <a href="monoid_0.html#K15" title="MONOID_0:func.15">GFuncs</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">F'</font> = <font color="Maroon" title="c2">F</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K15" title="MONOID_0:func.15">GFuncs</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font></span>)</span> <b>by </b><i><a class="ref" href="monoid_0.html#T82" title="MONOID_0:th.82">MONOID_0:82</a></i>;<br/>
 <a href="group_4.html#K3" title="GROUP_4:func.3">Product</a> <span class="p1">(<span class="default">1 <a href="finseqop.html#K4" title="FINSEQOP:func.4">|-&gt;</a> <font color="Maroon" title="c4">F'</font></span>)</span> = 
 <a href="group_4.html#K3" title="GROUP_4:func.3">Product</a> <span class="p1"><a href="matrix_2.html#K4" title="MATRIX_2:func.4">&lt;*</a><span class="default"><font color="Maroon" title="c4">F'</font></span><a href="matrix_2.html#K4" title="MATRIX_2:func.4">*&gt;</a></span>
<b>by </b><i><a class="ref" href="finseq_2.html#T73" title="FINSEQ_2:th.73">FINSEQ_2:73</a></i>
<br/>.= 
<font color="Maroon" title="c4">F'</font>
<b>by </b><i><a class="ref" href="group_4.html#T12" title="GROUP_4:th.12">GROUP_4:12</a></i>
;<br/>
<b>hence </b><a NAME="E3:27"/>
<font color="Maroon" title="c2">F</font> <a href="vectsp11.html#K1" title="VECTSP11:func.1">|^</a> 1 <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c2">F</font>
 <b>by </b><i><a class="ref" href="vectsp11.html#D4" target="_self" title="VECTSP11:def.4">Def4</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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