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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th14</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: POLYALG1:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being    <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> <br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being    <a href="polyalg1.html#L1" title="POLYALG1:struct.1">AlgebraStr</a> over <font color="Olive" title="b1">L</font>  st  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">A</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b2">A</font>, the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b2">A</font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive" title="b2">A</font>, the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">OneF</a> of <font color="Olive" title="b2">A</font>, the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">lmult</a> of <font color="Olive" title="b2">A</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="polyalg1.html#G1" title="POLYALG1:aggr.1">AlgebraStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">B</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b3">B</font>, the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b3">B</font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive" title="b3">B</font>, the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">OneF</a> of <font color="Olive" title="b3">B</font>, the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">lmult</a> of <font color="Olive" title="b3">B</font> #) holds <br/><font color="Olive" title="b2">A</font> is    <a href="polyalg1.html#M1" title="POLYALG1:mode.1">Subalgebra</a> of <font color="Olive" title="b3">B</font></div></div>
