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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: GROUP_1A:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">A</font> holds  <font color="Olive" title="b1">i</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">a</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b4">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">i</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b3">a</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">i</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b4">b</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#T35" target="_self" onmouseover="rs('group_1a/T35')" onmouseout="rh()">ThA37</a></span>;<br/></div></div>
