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<b>let </b><font color="Maroon">GF</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="group_1.html#V4">associative</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V8">left_unital</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">M</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="vectsp_1.html#V12">VectSp-like</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">GF</font>;<br/>



<a NAME="E1:79"/>
 <a href="lattices.html#G3">LattStr</a>(# <span class="p1">(<span class="default"><a href="vectsp_5.html#K3" target="_self">Subspaces</a> <font color="Maroon">M</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K5" target="_self">SubJoin</a> <font color="Maroon">M</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K6" target="_self">SubMeet</a> <font color="Maroon">M</font></span>)</span> #) is  <a href="lattices.html#V13">lower-bounded</a> <a href="lattices.html#V14">upper-bounded</a> <a href="lattices.html#NM1">Lattice</a>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E2:79"/>
 <a href="lattices.html#G3">LattStr</a>(# <span class="p1">(<span class="default"><a href="vectsp_5.html#K3" target="_self">Subspaces</a> <font color="Maroon">M</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K5" target="_self">SubJoin</a> <font color="Maroon">M</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K6" target="_self">SubMeet</a> <font color="Maroon">M</font></span>)</span> #) is   <a href="lattices.html#NM6">01_Lattice</a>
 ;<br/>


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