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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: GAUSSINT:9</font></span><br/></a><div class="add"> <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(# <a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>,<a href="gaussint.html#K2" title="GAUSSINT:func.2">g_int_add</a>,<a href="gaussint.html#K3" title="GAUSSINT:func.3">g_int_mult</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (1,<a href="gaussint.html#K1" title="GAUSSINT:func.1">G_INT_SET</a>)</span>)</span>,<a href="gaussint.html#K4" title="GAUSSINT:func.4">Sc_Mult</a> #) is   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a>   <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">right_unital</a>   <a href="vectsp_1.html#V8" title="VECTSP_1:attr.8">vector-distributive</a>   <a href="vectsp_1.html#V9" title="VECTSP_1:attr.9">scalar-distributive</a>   <a href="vectsp_1.html#V10" title="VECTSP_1:attr.10">scalar-associative</a>   <a href="polyalg1.html#V1" title="POLYALG1:attr.1">strict</a>   <a href="polyalg1.html#V2" title="POLYALG1:attr.2">mix-associative</a>   <a href="polyalg1.html#L1" title="POLYALG1:struct.1">AlgebraStr</a> over  <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>  ;<br/></div></div>
