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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def8</font></span>   defines <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <a onclick="hs(this)" href="javascript:()">GROUP_1A:def 7 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b2">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b3">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds <br/> ( (  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> implies <font color="Olive" title="b2">i</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="group_1a.html#K4" title="GROUP_1A:func.4">mult</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="nat_1.html#K10" title="NAT_1:func.10">.</a> (<span class="p1"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><font color="Olive" title="b2">i</font></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span>,<font color="Olive" title="b3">h</font>) ) &amp; (  not  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> implies <font color="Olive" title="b2">i</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K2" title="GROUP_1A:func.2">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="group_1a.html#K4" title="GROUP_1A:func.4">mult</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="nat_1.html#K10" title="NAT_1:func.10">.</a> (<span class="p2"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><font color="Olive" title="b2">i</font></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span>,<font color="Olive" title="b3">h</font>)</span>)</span> ) );<br/></span></div>
