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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E7">Def2</font></span>   defines <a href="mod_4.html#K2" title="MOD_4:func.2">opp</a> <a onclick="hs(this)" href="javascript:()">MOD_4:def 2 : <br/></a><span> for <font color="Olive" title="b1">K</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">V</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><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="vectsp_2.html#V2" title="VECTSP_2:attr.2">strict</a>   <a href="vectsp_2.html#L1" title="VECTSP_2:struct.1">RightModStr</a> over  <a href="mod_4.html#K1" title="MOD_4:func.1">opp</a> <font color="Olive" title="b1">K</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_4.html#K2" title="MOD_4:func.2">opp</a> <font color="Olive" title="b2">V</font> iff  for <font color="Olive" title="b4">o</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <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">V</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p2">(<span class="default"><a href="mod_4.html#K1" title="MOD_4:func.1">opp</a> <font color="Olive" title="b1">K</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">V</font>  st <font color="Olive" title="b4">o</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="funct_4.html#K13" title="FUNCT_4:func.13">~</a>  the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">lmult</a> of <font color="Olive" title="b2">V</font> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="vectsp_2.html#G1" title="VECTSP_2:aggr.1">RightModStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">V</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b2">V</font>,<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b2">V</font></span>)</span>,<font color="Olive" title="b4">o</font> #) );<br/></span></div>
