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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">G</font>, <font color="Olive" title="b2">H</font> being  <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font><br/> for <font color="Olive" title="b3">F</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>  <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font>  ex <font color="Olive" title="b4">f</font> being  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font> st <font color="Olive" title="b3">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font>,<font color="Olive" title="b4">f</font> #)</span><br/><b>let </b><font color="Maroon" title="c2">G</font>, <font color="Maroon" title="c3">H</font> be   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</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"> for <font color="Olive" title="b1">F</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>  <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>  ex <font color="Olive" title="b2">f</font> being  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font> st <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>,<font color="Olive" title="b2">f</font> #)</span><br/><b>let </b><font color="Maroon" title="c4">F</font> be  <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>  <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">f</font> being  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font> st <font color="Maroon" title="c4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>,<font color="Olive" title="b1">f</font> #)</span><br/>







<b>consider </b><font color="Maroon" title="c5">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font><b> such that </b><br/><a NAME="E2:24"/><i><font color="Green" title="E14">A1</font></i>: 
(  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# the <a href="mod_2.html#U1" title="MOD_2:sel.1">Dom</a> of <font color="Maroon" title="c4">F</font>,the <a href="mod_2.html#U2" title="MOD_2:sel.2">Cod</a> of <font color="Maroon" title="c4">F</font>,the <a href="mod_2.html#U3" title="MOD_2:sel.3">Fun</a> of <font color="Maroon" title="c4">F</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>,<font color="Maroon" title="c5">f</font> #) &amp; <font color="Maroon" title="c5">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#T14" target="_self" title="MOD_2:th.14">Th14</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c5">f</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>,<font color="Maroon" title="c5">f</font> #)</span><br/>

<b>thus </b><a NAME="E3:24"/>
<font color="Maroon" title="c4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#G1" title="MOD_2:aggr.1">LModMorphismStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">H</font>,<font color="Maroon" title="c5">f</font> #)
 <b>by </b><i><a class="txt" href="mod_2.html#E2:24"><i><font color="Green" title="E14">A1</font></i></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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