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<span class="kw">let </span><font color="Maroon" title="c1">A</font> be   <a href="membered.html#V1" title="MEMBERED:attr.1">complex-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">  for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a> holds  <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K9" title="MEMBER_1:func.9">++</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">b</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> be   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</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"> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K9" title="MEMBER_1:func.9">++</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span></span><br/>





<a NAME="E1:313"/>
<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">a</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="member_1.html#K9" title="MEMBER_1:func.9">++</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c3">b</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">b</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="member_1.html#T51" target="_self" onmouseover="rs('member_1/T51')" onmouseout="rh()">Th51</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:313"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K9" title="MEMBER_1:func.9">++</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="member_1.html#K23" title="MEMBER_1:func.23">**</a> <font color="Maroon" title="c1">A</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="member_1.html#T95" target="_self" onmouseover="rs('member_1/T95')" onmouseout="rh()">Th95</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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