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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E1">Def2</font></span>   defines <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a> <a onclick="hs(this)" href="javascript:()">VECTSP_1:def 2 : <br/></a><span> for <font color="Olive" title="b1">IT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a>  holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a>  iff  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">IT</font> holds  <font color="Olive" title="b2">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">b</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b4">c</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b3">b</font></span>)</span> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b4">c</font></span>)</span> );<br/></span></div>
