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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def7</font></span>   defines <a href="c0sp3.html#V2" title="C0SP3:attr.2">norm-generated</a> <a onclick="hs(this)" href="javascript:()">C0SP3:def 6 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="c0sp3.html#L1" title="C0SP3:struct.1">RLNormTopStruct</a>  holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="c0sp3.html#V2" title="C0SP3:attr.2">norm-generated</a>  iff  ex <font color="Olive" title="b2">RNS</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a> st <br/>( <font color="Olive" title="b2">RNS</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 <font color="Olive" title="b1">X</font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive" title="b1">X</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b1">X</font>, the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <font color="Olive" title="b1">X</font>, the <a href="normsp_0.html#U1" title="NORMSP_0:sel.1">normF</a> of <font color="Olive" title="b1">X</font> #) &amp;  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <span class="p1">(<span class="default"><a href="normsp_2.html#K3" title="NORMSP_2:func.3">TopSpaceNorm</a> <font color="Olive" title="b2">RNS</font></span>)</span> ) );<br/></span></div>
