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<span class="kw">let </span><font color="Maroon" title="c1">n</font> be   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="srings_4.html#NK4" title="SRINGS_4:NK.4">MeasurableRectangle</a> <span class="p1">(<span class="default"><a href="srings_5.html#K13" title="SRINGS_5:func.13">ProductLeftOpenIntervals</a> <font color="Maroon" title="c1">n</font></span>)</span> is   <a href="srings_3.html#NM1" title="SRINGS_3:NM.1">Semiring</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Maroon" title="c1">n</font></span>)</span></span><br/>

<a NAME="E1:62"/>
 <a href="srings_4.html#NK4" title="SRINGS_4:NK.4">MeasurableRectangle</a> <span class="p1">(<span class="default"><a href="srings_5.html#K13" title="SRINGS_5:func.13">ProductLeftOpenIntervals</a> <font color="Maroon" title="c1">n</font></span>)</span> is   <a href="srings_3.html#NM1" title="SRINGS_3:NM.1">Semiring</a> of <span class="p1">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p2">(<span class="default"><a href="srings_5.html#K1" title="SRINGS_5:func.1">ProductREAL</a> <font color="Maroon" title="c1">n</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="srings_4.html#T40" onmouseover="rs('srings_4/T40')" onmouseout="rh()">SRINGS_4:40</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:62"/>
 <a href="srings_4.html#NK4" title="SRINGS_4:NK.4">MeasurableRectangle</a> <span class="p1">(<span class="default"><a href="srings_5.html#K13" title="SRINGS_5:func.13">ProductLeftOpenIntervals</a> <font color="Maroon" title="c1">n</font></span>)</span> is   <a href="srings_3.html#NM1" title="SRINGS_3:NM.1">Semiring</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Maroon" title="c1">n</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="srings_5.html#T8" target="_self" onmouseover="rs('srings_5/T8')" onmouseout="rh()">Th7</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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