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<span class="kw">set </span><font color="Maroon" title="c2">G</font> =  the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">z</font> =  <a href="mod_2.html#K5" title="MOD_2:func.5">ZERO</a> ( the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>, the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>);<br/>
<a NAME="E1:11_1_1"/>
(  <a href="mod_2.html#K4" title="MOD_2:func.4">fun</a> <span class="p1">(<span class="default"><a href="mod_2.html#K5" title="MOD_2:func.5">ZERO</a> ( the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>, the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>)</span>)</span> is  <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">additive</a>  &amp;  <a href="mod_2.html#K4" title="MOD_2:func.4">fun</a> <span class="p1">(<span class="default"><a href="mod_2.html#K5" title="MOD_2:func.5">ZERO</a> ( the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>, the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>)</span>)</span> is  <a href="mod_2.html#V1" title="MOD_2:attr.1">homogeneous</a>  )
 
;<br/>
<a NAME="E2:11_1_1"/><span class="kw">then </span>
 <a href="mod_2.html#K5" title="MOD_2:func.5">ZERO</a> ( the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>, the   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">LeftMod</a> of <font color="Maroon" title="c1">R</font>) is  <a href="mod_2.html#V3" title="MOD_2:attr.3">LModMorphism-like</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="mod_2.html#D7" target="_self" title="MOD_2:def.7">Def10</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:11_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being    <a href="mod_2.html#L1" title="MOD_2:struct.1">LModMorphismStr</a> of <font color="Maroon" title="c1">R</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="mod_2.html#V3" title="MOD_2:attr.3">LModMorphism-like</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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