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<span class="kw">take </span>
 <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> 
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  &amp;  not  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V1" title="ALGSTR_1:attr.1">left_zeroed</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V4" title="ALGSTR_1:attr.4">Loop-like</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V7" title="ALGSTR_1:attr.7">multLoop_0-like</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:6_1_1"/>
(  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  &amp;  not  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V1" title="ALGSTR_1:attr.1">left_zeroed</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V4" title="ALGSTR_1:attr.4">Loop-like</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>  &amp;  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  is  <a href="algstr_1.html#V7" title="ALGSTR_1:attr.7">multLoop_0-like</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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