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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: LP_SPACE:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">p</font> holds <br/> <a href="normsp_1.html#G1" title="NORMSP_1:aggr.1">NORMSTR</a>(# <span class="p1">(<span class="default"><a href="lp_space.html#K2" title="LP_SPACE:func.2">the_set_of_RealSequences_l^</a> <font color="Olive" title="b1">p</font></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K7" title="RSSPACE:func.7">Zero_</a> (<span class="p2">(<span class="default"><a href="lp_space.html#K2" title="LP_SPACE:func.2">the_set_of_RealSequences_l^</a> <font color="Olive" title="b1">p</font></span>)</span>,<a href="rsspace.html#K4" title="RSSPACE:func.4">Linear_Space_of_RealSequences</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K5" title="RSSPACE:func.5">Add_</a> (<span class="p2">(<span class="default"><a href="lp_space.html#K2" title="LP_SPACE:func.2">the_set_of_RealSequences_l^</a> <font color="Olive" title="b1">p</font></span>)</span>,<a href="rsspace.html#K4" title="RSSPACE:func.4">Linear_Space_of_RealSequences</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K6" title="RSSPACE:func.6">Mult_</a> (<span class="p2">(<span class="default"><a href="lp_space.html#K2" title="LP_SPACE:func.2">the_set_of_RealSequences_l^</a> <font color="Olive" title="b1">p</font></span>)</span>,<a href="rsspace.html#K4" title="RSSPACE:func.4">Linear_Space_of_RealSequences</a>)</span>)</span>,<span class="p1">(<span class="default"><a href="lp_space.html#K3" title="LP_SPACE:func.3">l_norm^</a> <font color="Olive" title="b1">p</font></span>)</span> #) is   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a></div></div>
