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<b>let </b><font color="Maroon" title="c1">X</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<a NAME="E1:39"/><i><font color="Green" title="E27">A1</font></i>: 
 <a href="c0sp1.html#K7" title="C0SP1:func.7">R_Algebra_of_BoundedFunctions</a> <font color="Maroon" title="c1">X</font> is    <a href="c0sp1.html#M2" title="C0SP1:mode.2">Subalgebra</a> of  <a href="funcsdom.html#K13" title="FUNCSDOM:func.13">RAlgebra</a> <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="ref" href="c0sp1.html#T6" target="_self" title="C0SP1:th.6">Th03</a></i>;<br/>
<a NAME="E2:39"/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="funcsdom.html#K13" title="FUNCSDOM:func.13">RAlgebra</a> <font color="Maroon" title="c1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font> <a href="pre_circ.html#K2" title="PRE_CIRC:func.2">--&gt;</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
;<br/>
<b>hence </b><a NAME="E3:39"/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="c0sp1.html#K7" title="C0SP1:func.7">R_Algebra_of_BoundedFunctions</a> <font color="Maroon" title="c1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font> <a href="pre_circ.html#K2" title="PRE_CIRC:func.2">--&gt;</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="txt" href="c0sp1.html#E1:39"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="c0sp1.html#T8" target="_self" title="C0SP1:th.8">RLSUB121</a></i>;<br/>


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