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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: HOMOTHET:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AFP</font> being   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AFP</font><br/>  for <font color="Olive" title="b3">K</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AFP</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">AFP</font>  st <font color="Olive" title="b4">f</font> <a href="homothet.html#R1" title="HOMOTHET:pred.1">is_Sc</a> <font color="Olive" title="b3">K</font> &amp; <font color="Olive" title="b4">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">p</font> &amp;  not <font color="Olive" title="b2">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">K</font> holds <br/><font color="Olive" title="b4">f</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">AFP</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="transgeo.html#T97" onmouseover="rs('transgeo/T97')" onmouseout="rh()">TRANSGEO:97</a></span>;<br/></div></div>
