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<b>let </b><font color="Maroon" title="c1">K</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="vectsp_1.html#V8" title="VECTSP_1:attr.8">distributive</a>  <a href="vectsp_1.html#L3" title="VECTSP_1:struct.3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">K</font>;<br/>



<a NAME="E1:18"/>
the <a href="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c1">K</font> <a href="binop_1.html#R6" title="BINOP_1:pred.6">is_distributive_wrt</a> the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font>
 
<b>by </b><i><a class="ref" href="fvsum_1.html#T12" target="_self" title="FVSUM_1:th.12">Th12</a></i>;<br/>
<b>hence </b><a NAME="E2:18"/>
<font color="Maroon" title="c2">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="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font>
 <b>by </b><i><a class="ref" href="finseqop.html#T55" title="FINSEQOP:th.55">FINSEQOP:55</a></i>;<br/>


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