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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th15</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: BKMODEL3:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   <a href="matrix_6.html#V1" title="MATRIX_6:attr.1">invertible</a>  <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of 3,<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a><br/>  for <font color="Olive" title="b2">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  the <a href="incsp_1.html#U2" title="INCSP_1:sel.2">Lines</a> of <span class="p1">(<span class="default"><a href="incproj.html#K3" title="INCPROJ:func.3">IncProjSp_of</a> <a href="bkmodel1.html#K4" title="BKMODEL1:func.4">real_projective_plane</a></span>)</span> holds <br/> ( <span class="p1">(<span class="default"><a href="bkmodel3.html#K2" title="BKMODEL3:func.2">line_homography</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bkmodel3.html#K2" title="BKMODEL3:func.2">line_homography</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">N</font> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">l</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">l</font> &amp; <span class="p1">(<span class="default"><a href="bkmodel3.html#K2" title="BKMODEL3:func.2">line_homography</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">N</font> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bkmodel3.html#K2" title="BKMODEL3:func.2">line_homography</a> <font color="Olive" title="b1">N</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">l</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">l</font> )</div></div>
