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<b>let </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c3">f</font> be   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>;<br/>





<b>assume </b><a NAME="E1:19"/><i><font color="Green" title="E11">A1</font></i>: 
<font color="Maroon" title="c3">f</font> is <a href="ringcat1.html#V1" title="RINGCAT1:attr.1">linear</a>
 ;<br/>

<b>set </b><font color="Maroon" title="c4">F</font> =  <a href="ringcat1.html#G1" title="RINGCAT1:aggr.1">RingMorphismStr</a>(# <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>,<font color="Maroon" title="c3">f</font> #);<br/>
<a NAME="E2:19"/>
(  <a href="ringcat1.html#K1" title="RINGCAT1:func.1">dom</a> <a href="ringcat1.html#G1" title="RINGCAT1:aggr.1">RingMorphismStr</a>(# <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>,<font color="Maroon" title="c3">f</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font> &amp;  <a href="ringcat1.html#K2" title="RINGCAT1:func.2">cod</a> <a href="ringcat1.html#G1" title="RINGCAT1:aggr.1">RingMorphismStr</a>(# <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>,<font color="Maroon" title="c3">f</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">H</font> &amp;  <a href="ringcat1.html#K3" title="RINGCAT1:func.3">fun</a> <a href="ringcat1.html#G1" title="RINGCAT1:aggr.1">RingMorphismStr</a>(# <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>,<font color="Maroon" title="c3">f</font> #) <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Maroon" title="c3">f</font> )
 
;<br/>
<b>hence </b><a NAME="E3:19"/>
 <a href="ringcat1.html#G1" title="RINGCAT1:aggr.1">RingMorphismStr</a>(# <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>,<font color="Maroon" title="c3">f</font> #) is    <a href="ringcat1.html#M1" title="RINGCAT1:mode.1">Morphism</a> of <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>
 <b>by </b><i><a class="txt" href="ringcat1.html#E1:19"><i><font color="Green" title="E11">A1</font></i></a>, <a class="txt" href="ringcat1.html#E16"><i><font color="Green" title="E9">Lm4</font></i></a></i>;<br/>


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