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<span class="kw">reconsider </span><font color="Maroon" title="c4">u2</font> = <font color="Maroon" title="c2">u1</font>, <font color="Maroon" title="c5">v2</font> = <font color="Maroon" title="c3">v1</font> as    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Maroon" title="c1">M</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="midsp_1.html#T48" target="_self" onmouseover="rs('midsp_1/T48')" onmouseout="rh()">Th48</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">suma</font> = <font color="Maroon" title="c4">u2</font> <a href="midsp_1.html#K7" title="MIDSP_1:func.7">+</a> <font color="Maroon" title="c5">v2</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="midsp_1.html#K10" title="MIDSP_1:func.10">setvect</a> <font color="Maroon" title="c1">M</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="midsp_1.html#T48" target="_self" onmouseover="rs('midsp_1/T48')" onmouseout="rh()">Th48</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c6">suma</font>
; <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">  for <font color="Olive" title="b1">u</font>, <font color="Olive" title="b2">v</font> being    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Maroon" title="c1">M</font>  st <font color="Maroon" title="c2">u1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">u</font> &amp; <font color="Maroon" title="c3">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">v</font> holds <br/><font color="Maroon" title="c6">suma</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">u</font> <a href="midsp_1.html#K7" title="MIDSP_1:func.7">+</a> <font color="Olive" title="b2">v</font></span><br/>

<span class="kw">thus </span><a NAME="E3:50_1_1"/>
 for <font color="Olive" title="b1">u</font>, <font color="Olive" title="b2">v</font> being    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Maroon" title="c1">M</font>  st <font color="Maroon" title="c2">u1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">u</font> &amp; <font color="Maroon" title="c3">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">v</font> holds <br/><font color="Maroon" title="c6">suma</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">u</font> <a href="midsp_1.html#K7" title="MIDSP_1:func.7">+</a> <font color="Olive" title="b2">v</font>
 ; <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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