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<span class="kw">consider </span><font color="Maroon" title="c1">F</font> being   <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a>;<br/>
<a NAME="E2:8_1_1"/>
for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being  <a href="vectsp_1.html#NM4" title="VECTSP_1:NM.4">Scalar</a> of <font color="Maroon" title="c1">F</font>  holds <br/>(  not <font color="Olive" title="b1">x</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> or <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> or <font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_1.html#T44" title="VECTSP_1:th.44">VECTSP_1:44</a></span>;<br/>
<a NAME="E3:8_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c1">F</font> is  <a href="vectsp_2.html#V1" title="VECTSP_2:attr.1">domRing-like</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_2.html#D5" target="_self" title="VECTSP_2:def.5">Def5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:8_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  &amp; not <font color="Olive">b<sub>1</sub></font> is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="vectsp_2.html#V1" title="VECTSP_2:attr.1">domRing-like</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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