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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: PAPDESAF:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">OAS</font> being   <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a>  st <font color="Olive" title="b2">OAS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="analoaf.html#K2" title="ANALOAF:func.2">OASpace</a> <font color="Olive" title="b1">V</font> holds <br/>( <font color="Olive" title="b2">OAS</font> is  <a href="papdesaf.html#V6" title="PAPDESAF:attr.6">satisfying_DES_1</a>  &amp; <font color="Olive" title="b2">OAS</font> is  <a href="papdesaf.html#V5" title="PAPDESAF:attr.5">satisfying_DES</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="papdesaf.html#T6" target="_self" onmouseover="rs('papdesaf/T6')" onmouseout="rh()">Th6</a>, <a class="ref" href="papdesaf.html#T11" target="_self" onmouseover="rs('papdesaf/T11')" onmouseout="rh()">Th11</a></span>;<br/></div></div>
