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<div>:: <span class="kw">deftheorem </span>   defines <a href="c0sp1.html#K11" title="C0SP1:func.11">R_Normed_Algebra_of_BoundedFunctions</a> <a onclick="hs(this)" href="javascript:()">C0SP1:def 18 : <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>  holds   <a href="c0sp1.html#K11" title="C0SP1:func.11">R_Normed_Algebra_of_BoundedFunctions</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lopban_2.html#G1" title="LOPBAN_2:aggr.1">Normed_AlgebraStr</a>(# <span class="p1">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K2" title="C0SP1:func.2">mult_</a> (<span class="p2">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K1" title="C0SP1:func.1">Add_</a> (<span class="p2">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K5" title="C0SP1:func.5">Mult_</a> (<span class="p2">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K4" title="C0SP1:func.4">One_</a> (<span class="p2">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K3" title="C0SP1:func.3">Zero_</a> (<span class="p2">(<span class="default"><a href="c0sp1.html#K6" title="C0SP1:func.6">BoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="funcsdom.html#K12" title="FUNCSDOM:func.12">RAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="c0sp1.html#K10" title="C0SP1:func.10">BoundedFunctionsNorm</a> <font color="Olive" title="b1">X</font></span>)</span> #);<br/></span></div>
