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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c2">M1</font>, <font color="Maroon" title="c3">M2</font> be   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">K</font>;<br/>





<b>assume </b><a NAME="E1:42"/><i><font color="Green" title="E12">A1</font></i>: 
<font color="Maroon" title="c2">M1</font> <a href="lmod_6.html#R1" title="LMOD_6:pred.1">c=</a> <font color="Maroon" title="c3">M2</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:42"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c2">M1</font>
 ;<br/>

<a NAME="E3:42"/><b>then </b>
<font color="Maroon" title="c4">x</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Maroon" title="c2">M1</font>
 
<b>by </b><i><a class="ref" href="lmod_6.html#T10" target="_self" title="LMOD_6:th.10">Th10</a></i>;<br/>
<a NAME="E4:42"/><b>then </b>
<font color="Maroon" title="c4">x</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Maroon" title="c3">M2</font>
 
<b>by </b><i><a class="txt" href="lmod_6.html#E1:42"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="lmod_6.html#T16" target="_self" title="LMOD_6:th.16">Th16</a></i>;<br/>
<b>hence </b><a NAME="E5:42"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c3">M2</font>
 <b>by </b><i><a class="ref" href="lmod_6.html#T10" target="_self" title="LMOD_6:th.10">Th10</a></i>;<br/>


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