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<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>let </b><font color="Maroon">g</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">G2</font>,<font color="Maroon">G3</font>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">G1</font>,<font color="Maroon">G2</font>;<br/>















<b>assume </b><a NAME="E1:32"/><i><font color="Green">E29</font></i>: 
( <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> #) &amp; <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> #) )
 ;<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="E3:32"/><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/>
<b>hence </b><a NAME="E4:32"/>
( <font color="Maroon">G</font> <a href="mod_2.html#K9" 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> #) &amp; <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> #) )
 ;<br/>


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