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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="mod_2.html#L1" target="_self">LModMorphismStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>







<b>assume </b><a NAME="E1:19"/><i><font color="Green">E11</font></i>: 
(  <a href="mod_2.html#K2" target="_self">dom</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="mod_2.html#K3" target="_self">cod</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="mod_2.html#K4" target="_self">fun</a> <font color="Maroon">c<sub>4</sub></font> is <a href="mod_2.html#V1" target="_self">linear</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>4</sub></font> as   <a href="mod_2.html#NM1">LModMorphism</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="mod_2.html#D10" target="_self">Def10</a></i>;<br/>
<a NAME="E3:19"/>
<font color="Maroon">c<sub>5</sub></font> is    <a href="mod_2.html#M1" target="_self">Morphism</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="mod_2.html#E1:19"><i><font color="Green">E11</font></i></a>, <a class="ref" href="mod_2.html#D11" target="_self">Def11</a></i>;<br/>
<b>hence </b><a NAME="E4:19"/>
<font color="Maroon">c<sub>4</sub></font> is    <a href="mod_2.html#M1" target="_self">Morphism</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/>


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