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<span class="kw">let </span><font color="Maroon" title="c1">r</font> be   <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">r</font> <a href="rvsum_1.html#K3" title="RVSUM_1:func.3">multreal</a>  <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a>  <a href="binop_2.html#K33" title="BINOP_2:func.33">addreal</a> </span><br/>

<a NAME="E1:17"/>
<font color="Maroon" title="c1">r</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_0.html#D1" title="XREAL_0:def.1">XREAL_0:def 1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:17"/>
<font color="Maroon" title="c1">r</font> <a href="rvsum_1.html#K3" title="RVSUM_1:func.3">multreal</a>  <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a>  <a href="binop_2.html#K33" title="BINOP_2:func.33">addreal</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_1.html#T3" target="_self" title="RVSUM_1:th.3">Th16</a>, <a class="ref" href="finseqop.html#T54" title="FINSEQOP:th.54">FINSEQOP:54</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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