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<div>:: <span class="kw">deftheorem </span>   defines <a href="normsp_3.html#K15" title="NORMSP_3:func.15">NormVSets</a> <a onclick="hs(this)" href="javascript:()">NORMSP_3:def 17 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">W</font> being    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font> holds   <a href="normsp_3.html#K15" title="NORMSP_3:func.15">NormVSets</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>,<font color="Olive" title="b3">v</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="normsp_0.html#K2" title="NORMSP_0:func.2">||.</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="normsp_0.html#K2" title="NORMSP_0:func.2">.||</a></span> where <font color="Olive" title="b4">x</font> is   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font> : <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">v</font> <a href="rlsub_1.html#K3" title="RLSUB_1:func.3">+</a> <font color="Olive" title="b2">W</font> </span> } </span> ;<br/></span></div>
