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<div>:: <span class="kw">deftheorem </span>   defines <a href="ordeq_01.html#K5" title="ORDEQ_01:func.5">R_NormSpace_of_ContinuousFunctions</a> <a onclick="hs(this)" href="javascript:()">ORDEQ_01:def 6 : <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="measure5.html#V2" title="MEASURE5:attr.2">closed_interval</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</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="ordeq_01.html#K5" title="ORDEQ_01:func.5">R_NormSpace_of_ContinuousFunctions</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="ordeq_01.html#K1" title="ORDEQ_01:func.1">ContinuousFunctions</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="ordeq_01.html#K1" title="ORDEQ_01:func.1">ContinuousFunctions</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="rsspace4.html#K5" title="RSSPACE4:func.5">R_VectorSpace_of_BoundedFunctions</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="ordeq_01.html#K1" title="ORDEQ_01:func.1">ContinuousFunctions</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="rsspace4.html#K5" title="RSSPACE4:func.5">R_VectorSpace_of_BoundedFunctions</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="ordeq_01.html#K1" title="ORDEQ_01:func.1">ContinuousFunctions</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="rsspace4.html#K5" title="RSSPACE4:func.5">R_VectorSpace_of_BoundedFunctions</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="ordeq_01.html#K3" title="ORDEQ_01:func.3">ContinuousFunctionsNorm</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> #);<br/></span></div>
