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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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">M1</font>, <font color="Olive" title="b3">M2</font> being  <a href="matrix_1.html#NM5" title="MATRIX_1:NM.5">Matrix</a> of <font color="Maroon" title="c1">n</font>,<font color="Olive" title="b1">K</font>  st <font color="Olive" title="b2">M1</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> &amp; <font color="Olive" title="b3">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> holds <br/><font color="Olive" title="b2">M1</font> <a href="matrix_6.html#K3" title="MATRIX_6:func.3">-</a> <font color="Olive" title="b3">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a></span><br/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">M1</font>, <font color="Olive" title="b2">M2</font> being  <a href="matrix_1.html#NM5" title="MATRIX_1:NM.5">Matrix</a> of <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">K</font>  st <font color="Olive" title="b1">M1</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> &amp; <font color="Olive" title="b2">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> holds <br/><font color="Olive" title="b1">M1</font> <a href="matrix_6.html#K3" title="MATRIX_6:func.3">-</a> <font color="Olive" title="b2">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a></span><br/><b>let </b><font color="Maroon" title="c3">M1</font>, <font color="Maroon" title="c4">M2</font> be   <a href="matrix_1.html#NM5" title="MATRIX_1:NM.5">Matrix</a> of <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">K</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">M1</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> &amp; <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> implies <font color="Maroon" title="c3">M1</font> <a href="matrix_6.html#K3" title="MATRIX_6:func.3">-</a> <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> )</span><br/>







<b>assume </b><a NAME="E1:76"/><i><font color="Green" title="E38">A1</font></i>: 
( <font color="Maroon" title="c3">M1</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> &amp; <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">M1</font> <a href="matrix_6.html#K3" title="MATRIX_6:func.3">-</a> <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a></span><br/>

<a NAME="E2:76"/><b>then </b>
 <a href="matrix_6.html#K1" title="MATRIX_6:func.1">-</a> <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a>
 
<b>by </b><i><a class="ref" href="matrix16.html#T55" target="_self" title="MATRIX16:th.55">Th55</a></i>;<br/>
<b>hence </b><a NAME="E3:76"/>
<font color="Maroon" title="c3">M1</font> <a href="matrix_6.html#K3" title="MATRIX_6:func.3">-</a> <font color="Maroon" title="c4">M2</font> is <a href="matrix16.html#V5" title="MATRIX16:attr.5">anti-circular</a>
 <b>by </b><i><a class="txt" href="#E1:76"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="matrix16.html#T52" target="_self" title="MATRIX16:th.52">Th52</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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