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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E64">Th63</font></span>: <a NAME="T63"><span class="comment"><font color="firebrick">:: FVALUAT1:63</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="realset2.html#V1" title="REALSET2:attr.1">Field-like</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">v</font> being    <a href="fvaluat1.html#M1" title="FVALUAT1:mode.1">Valuation</a> of <font color="Olive" title="b1">K</font>  st <font color="Olive" title="b1">K</font> is  <a href="fvaluat1.html#V3" title="FVALUAT1:attr.3">having_valuation</a>  holds <br/> not  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b1">K</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fvaluat1.html#NK10" title="FVALUAT1:NK.10">vp</a> <font color="Olive" title="b2">v</font></div></div>
