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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E2">Def1</font></span>   defines <a href="dualsp06.html#K1" title="DUALSP06:func.1">RSubNormSpace</a> <a onclick="hs(this)" href="javascript:()">DUALSP06:def 1 : <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">b<sub>3</sub></font> being   <a href="normsp_1.html#V1" title="NORMSP_1:attr.1">strict</a>  <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dualsp06.html#K1" title="DUALSP06:func.1">RSubNormSpace</a> <font color="Olive" title="b2">W</font> iff (  <a href="rlvect_1.html#G1" title="RLVECT_1:aggr.1">RLSStruct</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive">b<sub>3</sub></font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive">b<sub>3</sub></font>, the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <font color="Olive">b<sub>3</sub></font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#G1" title="RLVECT_1:aggr.1">RLSStruct</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">W</font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive" title="b2">W</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b2">W</font>, the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <font color="Olive" title="b2">W</font> #) &amp;  the <a href="normsp_0.html#U1" title="NORMSP_0:sel.1">normF</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="normsp_0.html#U1" title="NORMSP_0:sel.1">normF</a> of <font color="Olive" title="b1">V</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font> ) );<br/></span></div>
