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for <font color="Olive" title="b1">x</font> being  <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  holds <br/> <a href="fdiff_1.html#K1" title="FDIFF_1:func.1">diff</a> <a href="sin_cos2.html#K4" title="SIN_COS2:func.4">cosh</a> ,<font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="sin_cos2.html#K1" title="SIN_COS2:func.1">sinh</a>  <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">x</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="sin_cos2.html#T35" title="SIN_COS2:th.35">SIN_COS2:35</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:34"/>
<a href="sin_cos2.html#K4" title="SIN_COS2:func.4">cosh</a>  <a href="fdiff_1.html#K2" title="FDIFF_1:func.2">`|</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sin_cos2.html#K1" title="SIN_COS2:func.1">sinh</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fdiff_1.html#D8" title="FDIFF_1:def.8">FDIFF_1:def 8</a>, <a class="ref" href="sin_cos2.html#T30" title="SIN_COS2:th.30">SIN_COS2:30</a>, <a class="ref" href="sin_cos2.html#T35" title="SIN_COS2:th.35">SIN_COS2:35</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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