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<span class="kw">let </span><font color="Maroon" title="c1">u</font>, <font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c4">v9</font> be   <a href="algstr_3.html#NM1" title="ALGSTR_3:NM.1">Scalar</a> of <a href="algstr_3.html#K3" title="ALGSTR_3:func.3">TernaryFieldEx</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">v9</font> implies <font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v9</font> )</span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c5">z</font> = <font color="Maroon" title="c1">u</font>, <font color="Maroon" title="c6">x</font> = <font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c7">y</font> = <font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c8">y9</font> = <font color="Maroon" title="c4">v9</font> as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> ;<br/>
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(  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">z</font> <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <font color="Maroon" title="c6">x</font></span>)</span> <a href="real_1.html#K7" title="REAL_1:func.7">+</a> <font color="Maroon" title="c7">y</font> &amp;  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">v9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">z</font> <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <font color="Maroon" title="c6">x</font></span>)</span> <a href="real_1.html#K7" title="REAL_1:func.7">+</a> <font color="Maroon" title="c8">y9</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="algstr_3.html#D4" target="_self" title="ALGSTR_3:def.4">Def4</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:19"/>
(  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_3.html#K1" title="ALGSTR_3:func.1">Tern</a> <font color="Maroon" title="c1">u</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">v9</font> implies <font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v9</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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