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<span class="kw">let </span><font color="Maroon" title="c1">n</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">K</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a><br/>  for <font color="Olive" title="b2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">K</font> holds  (<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Olive" title="b2">a</font> is  <a href="matrix_6.html#V2" title="MATRIX_6:attr.2">symmetric</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">K</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a>; <a class="txt" 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> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">K</font> holds  (<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Olive" title="b1">a</font> is  <a href="matrix_6.html#V2" title="MATRIX_6:attr.2">symmetric</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">K</font>; <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">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Maroon" title="c3">a</font> is  <a href="matrix_6.html#V2" title="MATRIX_6:attr.2">symmetric</a> </span><br/>





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<span class="p1">(<span class="default">(<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Maroon" title="c3">a</font></span>)</span> <a href="matrix_1.html#K5" title="MATRIX_1:func.5">@</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Maroon" title="c3">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_6.html#T20" target="_self" title="MATRIX_6:th.20">Th21</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:30"/>
(<font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c1">n</font>) <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> <font color="Maroon" title="c3">a</font> is  <a href="matrix_6.html#V2" title="MATRIX_6:attr.2">symmetric</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_6.html#D5" target="_self" title="MATRIX_6:def.5">Def5</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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