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<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</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="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font> holds  the <a href="mod_2.html#U3" title="MOD_2:sel.3">Fun</a> of <font color="Olive" title="b1">F</font> is <a href="mod_2.html#V1" title="MOD_2:attr.1">linear</a></span><br/><b>let </b><font color="Maroon" title="c2">F</font> be   <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> the <a href="mod_2.html#U3" title="MOD_2:sel.3">Fun</a> of <font color="Maroon" title="c2">F</font> is <a href="mod_2.html#V1" title="MOD_2:attr.1">linear</a></span><br/>



<a NAME="E1:14"/>
the <a href="mod_2.html#U3" title="MOD_2:sel.3">Fun</a> of <font color="Maroon" title="c2">F</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="mod_2.html#K4" title="MOD_2:func.4">fun</a> <font color="Maroon" title="c2">F</font>
 
;<br/>
<b>hence </b><a NAME="E2:14"/>
the <a href="mod_2.html#U3" title="MOD_2:sel.3">Fun</a> of <font color="Maroon" title="c2">F</font> is <a href="mod_2.html#V1" title="MOD_2:attr.1">linear</a>
 <b>by </b><i><a class="ref" href="mod_2.html#D10" target="_self" title="MOD_2:def.10">Def10</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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