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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: FVSUM_1:12</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>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">K</font> holds  <font color="Olive" title="b2">a</font> <a href="fvsum_1.html#K1" title="FVSUM_1:func.1">multfield</a>  <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a>  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b1">K</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="fvsum_1.html#T10" target="_self" onmouseover="rs('fvsum_1/T10')" onmouseout="rh()">Th10</a>, <a class="ref" href="finseqop.html#T54" onmouseover="rs('finseqop/T54')" onmouseout="rh()">FINSEQOP:54</a></span>;<br/></div></div>
