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

<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> being  <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font> holds <br/> (  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G</font> &amp;  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G</font> &amp; ( for <font color="Olive" title="b2">f</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G</font> holds <br/><span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> ) &amp; ( for <font color="Olive" title="b2">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G</font> holds <br/><font color="Olive" title="b2">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">g</font> ) )</span><br/><b>let </b><font color="Maroon" title="c2">G</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"> (  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> &amp;  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> &amp; ( 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#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> ) &amp; ( for <font color="Olive" title="b1">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><font color="Olive" title="b1">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font> ) )</span><br/>



<b>set </b><font color="Maroon" title="c3">i</font> =  <a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font>;<br/>
<b>thus </b><a NAME="E1:36"/>
 <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> &amp; ( 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#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> ) &amp; ( for <font color="Olive" title="b1">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><font color="Olive" title="b1">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font> ) )</span><br/>

<b>thus </b><a NAME="E2:36"/>
 <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</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#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> ) &amp; ( for <font color="Olive" title="b1">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><font color="Olive" title="b1">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font> ) )</span><br/>

<b>thus </b><a NAME="E3:36"/>
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#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</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">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><font color="Olive" title="b1">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font></span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="36_1"><b>proof </b></a><div class="add">

<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#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"> (  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> implies <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font> )</span><br/>

<b>assume </b><a NAME="E1:36_1"/><i><font color="Green" title="E21">A1</font></i>: 
 <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font></span><br/>

<b>set </b><font color="Maroon" title="c5">H</font> =  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">f'</font> = <font color="Maroon" title="c4">f</font> as    <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c2">G</font> <b>by </b><i><a class="txt" href="mod_2.html#E1:36_1"><i><font color="Green" title="E21">A1</font></i></a>, <a class="ref" href="mod_2.html#D11" target="_self" title="MOD_2:def.11">Def11</a></i>;<br/>
<a NAME="E3:36_1"/><i><font color="Green" title="E22">A2</font></i>: 
 <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font>
 
;<br/>
<b>consider </b><font color="Maroon" title="c7">m</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font></span>)</span>,<font color="Maroon" title="c2">G</font><b> such that </b><br/><a NAME="E5:36_1"/><i><font color="Green" title="E23">A3</font></i>: 
<font color="Maroon" title="c6">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>(# <span class="p1">(<span class="default"><a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font></span>)</span>,<font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c7">m</font> #)
 <b>by </b><i><a class="ref" href="mod_2.html#T15" target="_self" title="MOD_2:th.15">Th15</a></i>;<br/>
<a NAME="E6:36_1"/>
<span class="p1">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c7">m</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c7">m</font>
 
<b>by </b><i><a class="ref" href="funct_2.html#T23" title="FUNCT_2:th.23">FUNCT_2:23</a></i>;<br/>
<b>hence </b><a NAME="E7:36_1"/>
<span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font>
 <b>by </b><i><a class="txt" href="mod_2.html#E1:36_1"><i><font color="Green" title="E21">A1</font></i></a>, <a class="txt" href="mod_2.html#E3:36_1"><i><font color="Green" title="E22">A2</font></i></a>, <a class="txt" href="mod_2.html#E5:36_1"><i><font color="Green" title="E23">A3</font></i></a>, <a class="ref" href="mod_2.html#D13" target="_self" title="MOD_2:def.13">Def13</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>

<b>thus </b><a NAME="E4:36"/>
for <font color="Olive" title="b1">g</font> being <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a> <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Maroon" title="c1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b1">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> holds <br/><font color="Olive" title="b1">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font>
  <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="36_2"><b>proof </b></a><div class="add">

<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#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"> (  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font> implies <font color="Maroon" title="c4">f</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font> )</span><br/>

<b>assume </b><a NAME="E1:36_2"/><i><font color="Green" title="E21">A4</font></i>: 
 <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</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="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font></span><br/>

<b>set </b><font color="Maroon" title="c5">H</font> =  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c6">f'</font> = <font color="Maroon" title="c4">f</font> as    <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Maroon" title="c2">G</font>, <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font> <b>by </b><i><a class="txt" href="mod_2.html#E1:36_2"><i><font color="Green" title="E21">A4</font></i></a>, <a class="ref" href="mod_2.html#D11" target="_self" title="MOD_2:def.11">Def11</a></i>;<br/>
<a NAME="E3:36_2"/><i><font color="Green" title="E22">A5</font></i>: 
 <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">G</font>
 
;<br/>
<b>consider </b><font color="Maroon" title="c7">m</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">G</font>,<span class="p1">(<span class="default"><a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font></span>)</span><b> such that </b><br/><a NAME="E5:36_2"/><i><font color="Green" title="E23">A6</font></i>: 
<font color="Maroon" title="c6">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>,<span class="p1">(<span class="default"><a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Maroon" title="c4">f</font></span>)</span>,<font color="Maroon" title="c7">m</font> #)
 <b>by </b><i><a class="ref" href="mod_2.html#T15" target="_self" title="MOD_2:th.15">Th15</a></i>;<br/>
<a NAME="E6:36_2"/>
<font color="Maroon" title="c7">m</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c7">m</font>
 
<b>by </b><i><a class="ref" href="funct_2.html#T23" title="FUNCT_2:th.23">FUNCT_2:23</a></i>;<br/>
<b>hence </b><a NAME="E7:36_2"/>
<font color="Maroon" title="c4">f</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <span class="p1">(<span class="default"><a href="mod_2.html#K6" title="MOD_2:func.6">ID</a> <font color="Maroon" title="c2">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f</font>
 <b>by </b><i><a class="txt" href="mod_2.html#E1:36_2"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="mod_2.html#E3:36_2"><i><font color="Green" title="E22">A5</font></i></a>, <a class="txt" href="mod_2.html#E5:36_2"><i><font color="Green" title="E23">A6</font></i></a>, <a class="ref" href="mod_2.html#D13" target="_self" title="MOD_2:def.13">Def13</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>


</div>
