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<div><span class="kw">theorem </span><a NAME="T33"><span class="comment"><font color="firebrick">:: MORPH_01:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font>, <font color="Olive" title="b4">C</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="morph_01.html#NM1" title="MORPH_01:NM.1">binary-image</a> of <font color="Olive" title="b1">E</font> holds <br/> ( <span class="p1">(<span class="default"><a href="morph_01.html#K3" title="MORPH_01:func.3">dilation</a> <font color="Olive" title="b4">C</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="morph_01.html#K3" title="MORPH_01:func.3">dilation</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="morph_01.html#K3" title="MORPH_01:func.3">dilation</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="morph_01.html#K3" title="MORPH_01:func.3">dilation</a> <font color="Olive" title="b4">C</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">B</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">A</font> &amp; <span class="p1">(<span class="default"><a href="morph_01.html#K4" title="MORPH_01:func.4">erosion</a> <font color="Olive" title="b4">C</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="morph_01.html#K4" title="MORPH_01:func.4">erosion</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="morph_01.html#K4" title="MORPH_01:func.4">erosion</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="morph_01.html#K3" title="MORPH_01:func.3">dilation</a> <font color="Olive" title="b4">C</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">B</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">A</font> )</div></div>
