<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="cc0sp1.html#K7" title="CC0SP1:func.7">C_Normed_Algebra_of_BoundedFunctions</a> <a onclick="hs(this)" href="javascript:()">CC0SP1: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>  holds   <a href="cc0sp1.html#K7" title="CC0SP1:func.7">C_Normed_Algebra_of_BoundedFunctions</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="clopban2.html#G1" title="CLOPBAN2:aggr.1">Normed_Complex_AlgebraStr</a>(# <span class="p1">(<span class="default"><a href="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</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="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="cfuncdom.html#K8" title="CFUNCDOM:func.8">CAlgebra</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="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="cfuncdom.html#K8" title="CFUNCDOM:func.8">CAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="cc0sp1.html#K1" title="CC0SP1:func.1">Mult_</a> (<span class="p2">(<span class="default"><a href="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="cfuncdom.html#K8" title="CFUNCDOM:func.8">CAlgebra</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="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="cfuncdom.html#K8" title="CFUNCDOM:func.8">CAlgebra</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="cc0sp1.html#K2" title="CC0SP1:func.2">ComplexBoundedFunctions</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p2">(<span class="default"><a href="cfuncdom.html#K8" title="CFUNCDOM:func.8">CAlgebra</a> <font color="Olive" title="b1">X</font></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="cc0sp1.html#K6" title="CC0SP1:func.6">ComplexBoundedFunctionsNorm</a> <font color="Olive" title="b1">X</font></span>)</span> #);<br/></span></div>
