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<div><span class="kw">theorem </span><a NAME="T127"><span class="comment"><font color="firebrick">:: FUNCT_4:127</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">z</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">y</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b2">f</font> <a href="funct_4.html#K8" title="FUNCT_4:func.8">+~</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font>)</span>)</span> <a href="funct_4.html#K8" title="FUNCT_4:func.8">+~</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b1">z</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> <a href="funct_4.html#K8" title="FUNCT_4:func.8">+~</a> (<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font>)</div></div>
