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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="real_1.html#NM1">Real</a>;<br/>

<b>assume </b><a NAME="E1:11"/><i><font color="Green">E12</font></i>: 
1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:11"/>
 <a href="lp_space.html#K2" target="_self">the_set_of_RealSequences_l^</a> <font color="Maroon">c<sub>1</sub></font> is <a href="rlsub_1.html#V1">lineary-closed</a>
 
<b>by </b><i><a class="txt" href="lp_space.html#E1:11"><i><font color="Green">E12</font></i></a>, <a class="ref" href="lp_space.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><a NAME="E3:11"/>
 <a href="rlvect_1.html#G2">RLSStruct</a>(# <span class="p1">(<span class="default"><a href="lp_space.html#K2" target="_self">the_set_of_RealSequences_l^</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K10">Zero_</a> <span class="p2">(<span class="default"><a href="lp_space.html#K2" target="_self">the_set_of_RealSequences_l^</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<a href="rsspace.html#K7">Linear_Space_of_RealSequences</a> </span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K8">Add_</a> <span class="p2">(<span class="default"><a href="lp_space.html#K2" target="_self">the_set_of_RealSequences_l^</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<a href="rsspace.html#K7">Linear_Space_of_RealSequences</a> </span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K9">Mult_</a> <span class="p2">(<span class="default"><a href="lp_space.html#K2" target="_self">the_set_of_RealSequences_l^</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<a href="rsspace.html#K7">Linear_Space_of_RealSequences</a> </span>)</span> #) is    <a href="rlsub_1.html#M1">Subspace</a> of  <a href="rsspace.html#K7">Linear_Space_of_RealSequences</a> 
 <b>by </b><i><a class="ref" href="rsspace.html#T13">RSSPACE:13</a></i>;<br/>


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