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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: VFUNCT_1:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">C</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">V</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b5">f2</font> being   <a href="struct_0.html#NM11" title="STRUCT_0:NM.11">PartFunc</a> of <font color="Olive" title="b3">C</font>,<font color="Olive" title="b4">V</font><br/>  for <font color="Olive" title="b6">f1</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <font color="Olive" title="b3">C</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b6">f1</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b1">X</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">V8</a>() &amp; <font color="Olive" title="b5">f2</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">Y</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">V8</a>() holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b6">f1</font> <a href="vfunct_1.html#K3" title="VFUNCT_1:func.3">(#)</a> <font color="Olive" title="b5">f2</font></span>)</span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">Y</font></span>)</span> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">V8</a>()</div></div>
