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<div>:: <span class="kw">deftheorem </span>   defines <a href="vectsp12.html#K9" title="VECTSP12:func.9">[:</a> <a onclick="hs(this)" href="javascript:()">VECTSP12:def 7 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">G</font>, <font color="Olive" title="b3">F</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">ModuleStr</a> over <font color="Olive" title="b1">K</font> holds  <span class="p1"><a href="vectsp12.html#K9" title="VECTSP12:func.9">[:</a><span class="default"><font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">F</font></span><a href="vectsp12.html#K9" title="VECTSP12:func.9">:]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">ModuleStr</a>(# <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">G</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">F</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default"><a href="prvect_3.html#K1" title="PRVECT_3:func.1">prod_ADD</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">F</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="prvect_3.html#K3" title="PRVECT_3:func.3">prod_ZERO</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">F</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="vectsp12.html#K8" title="VECTSP12:func.8">prod_MLT</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">F</font>)</span>)</span> #);<br/></span></div>
