<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">G2</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">G3</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">G1</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">G</font> be    <a href="mod_2.html#M1" target="_self">Morphism</a> of <font color="Maroon">G2</font>,<font color="Maroon">G3</font>;<br/><b>let </b><font color="Maroon">F</font> be    <a href="mod_2.html#M1" target="_self">Morphism</a> of <font color="Maroon">G1</font>,<font color="Maroon">G2</font>;<br/>











<b>consider </b><font color="Maroon">g</font> being   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">G2</font>,<font color="Maroon">G3</font><b> such that </b><br/><a NAME="E2:30"/><i><font color="Green">E29</font></i>: 
 <a href="mod_2.html#G1" target="_self">LModMorphismStr</a>(# the <a href="mod_2.html#U1" target="_self">Dom</a> of <font color="Maroon">G</font>,the <a href="mod_2.html#U2" target="_self">Cod</a> of <font color="Maroon">G</font>,the <a href="mod_2.html#U3" target="_self">Fun</a> of <font color="Maroon">G</font> #) <a href="hidden.html#R1">=</a>  <a href="mod_2.html#G1" target="_self">LModMorphismStr</a>(# <font color="Maroon">G2</font>,<font color="Maroon">G3</font>,<font color="Maroon">g</font> #)
 <b>and </b><br/><a NAME="E3:30"/>
<font color="Maroon">g</font> is <a href="mod_2.html#V1" target="_self">linear</a>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">f</font> being   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">G1</font>,<font color="Maroon">G2</font><b> such that </b><br/><a NAME="E5:30"/><i><font color="Green">E33</font></i>: 
 <a href="mod_2.html#G1" target="_self">LModMorphismStr</a>(# the <a href="mod_2.html#U1" target="_self">Dom</a> of <font color="Maroon">F</font>,the <a href="mod_2.html#U2" target="_self">Cod</a> of <font color="Maroon">F</font>,the <a href="mod_2.html#U3" target="_self">Fun</a> of <font color="Maroon">F</font> #) <a href="hidden.html#R1">=</a>  <a href="mod_2.html#G1" target="_self">LModMorphismStr</a>(# <font color="Maroon">G1</font>,<font color="Maroon">G2</font>,<font color="Maroon">f</font> #)
 <b>and </b><br/><a NAME="E6:30"/>
<font color="Maroon">f</font> is <a href="mod_2.html#V1" target="_self">linear</a>
 <b>by </b><i/>;<br/>
 <a href="mod_2.html#K2" target="_self">dom</a> <font color="Maroon">G</font> = 
<font color="Maroon">G2</font>
<b>by </b><i/>
<br/>.= 
 <a href="mod_2.html#K3" target="_self">cod</a> <font color="Maroon">F</font>
<b>by </b><i/>
;<br/>
<a NAME="E8:30"/><b>then </b>
<font color="Maroon">G</font> <a href="mod_2.html#K8" target="_self">*</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="mod_2.html#G1" target="_self">LModMorphismStr</a>(# <font color="Maroon">G1</font>,<font color="Maroon">G3</font>,<span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f</font></span>)</span> #)
 
<b>by </b><i>, , </i>;<br/>
<a NAME="E9:30"/><b>then </b>
(  <a href="mod_2.html#K2" target="_self">dom</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="mod_2.html#K8" target="_self">*</a> <font color="Maroon">F</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">G1</font> &amp;  <a href="mod_2.html#K3" target="_self">cod</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="mod_2.html#K8" target="_self">*</a> <font color="Maroon">F</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">G3</font> )
 
;<br/>
<b>hence </b><a NAME="E10:30"/>
<font color="Maroon">G</font> <a href="mod_2.html#K8" target="_self">*</a> <font color="Maroon">F</font> is  <a href="mod_2.html#V2" target="_self">strict</a>  <a href="mod_2.html#M1" target="_self">Morphism</a> of <font color="Maroon">G1</font>,<font color="Maroon">G3</font>
 <b>by </b><i/>;<br/>


</div>
