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<div>:: <span class="kw">deftheorem </span>   defines <a href="lpspace2.html#K12" title="LPSPACE2:func.12">Lp-Space</a> <a onclick="hs(this)" href="javascript:()">LPSPACE2:def 13 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">M</font> being   <a href="measure1.html#NM5" title="MEASURE1:NM.5">sigma_Measure</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">k</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds   <a href="lpspace2.html#K12" title="LPSPACE2:func.12">Lp-Space</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="normsp_1.html#G1" title="NORMSP_1:aggr.1">NORMSTR</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="lpspace2.html#K10" title="LPSPACE2:func.10">Pre-Lp-Space</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>)</span>)</span>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <span class="p1">(<span class="default"><a href="lpspace2.html#K10" title="LPSPACE2:func.10">Pre-Lp-Space</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>)</span>)</span>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <span class="p1">(<span class="default"><a href="lpspace2.html#K10" title="LPSPACE2:func.10">Pre-Lp-Space</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>)</span>)</span>, the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <span class="p1">(<span class="default"><a href="lpspace2.html#K10" title="LPSPACE2:func.10">Pre-Lp-Space</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="lpspace2.html#K11" title="LPSPACE2:func.11">Lp-Norm</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b4">k</font>)</span>)</span> #);<br/></span></div>
