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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th35</font></span>: <a NAME="T35"><span class="comment"><font color="firebrick">:: MATRTOP3:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="vectsp_1.html#V13" title="VECTSP_1:attr.13">additive</a>   <a href="topreal9.html#V1" title="TOPREAL9:attr.1">homogeneous</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Olive" title="b2">n</font></span>)</span>  st <font color="Olive" title="b3">f</font> is <span class="p1"><a href="matrix13.html#K3" title="MATRIX13:func.3">{</a><span class="default"><font color="Olive" title="b1">i</font></span><a href="matrix13.html#K3" title="MATRIX13:func.3">}</a></span> <a href="matrtop3.html#V1" title="MATRTOP3:attr.1">-support-yielding</a>  &amp; <font color="Olive" title="b3">f</font> is  <a href="matrtop3.html#V2" title="MATRTOP3:attr.2">rotation</a>  &amp;  not  <a href="matrtop3.html#K3" title="MATRTOP3:func.3">AutMt</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrtop3.html#K1" title="MATRTOP3:func.1">AxialSymmetry</a> (<font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">n</font>) holds <br/> <a href="matrtop3.html#K3" title="MATRTOP3:func.3">AutMt</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K3" title="MATRIX_1:func.3">1.</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b2">n</font>)</div></div>
