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<div>:: <span class="kw">deftheorem </span>   defines <a href="rsspace4.html#K9" title="RSSPACE4:func.9">R_NormSpace_of_BoundedFunctions</a> <a onclick="hs(this)" href="javascript:()">RSSPACE4:def 10 : <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">Y</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a> holds   <a href="rsspace4.html#K9" title="RSSPACE4:func.9">R_NormSpace_of_BoundedFunctions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="normsp_1.html#G1" title="NORMSP_1:aggr.1">NORMSTR</a>(# <span class="p1">(<span class="default"><a href="rsspace4.html#K4" title="RSSPACE4:func.4">BoundedFunctions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</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="rsspace4.html#K4" title="RSSPACE4:func.4">BoundedFunctions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5" title="LOPBAN_1:func.5">RealVectSpace</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>)</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="rsspace4.html#K4" title="RSSPACE4:func.4">BoundedFunctions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5" title="LOPBAN_1:func.5">RealVectSpace</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>)</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="rsspace4.html#K4" title="RSSPACE4:func.4">BoundedFunctions</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K5" title="LOPBAN_1:func.5">RealVectSpace</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="rsspace4.html#K8" title="RSSPACE4:func.8">BoundedFunctionsNorm</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> #);<br/></span></div>
