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<span class="kw">let </span><font color="Maroon" title="c1">y</font> be   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">y</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies <a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="power.html#K3" title="POWER:func.3">log</a> (<a href="power.html#K4" title="POWER:func.4">number_e</a>,<font color="Maroon" title="c1">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">y</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:20"/><span class="lab"><font color="Green" title="E18">A1</font></span>: 
<font color="Maroon" title="c1">y</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="power.html#K3" title="POWER:func.3">log</a> (<a href="power.html#K4" title="POWER:func.4">number_e</a>,<font color="Maroon" title="c1">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">y</font></span><br/>

<span class="kw">thus </span><a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="power.html#K3" title="POWER:func.3">log</a> (<a href="power.html#K4" title="POWER:func.4">number_e</a>,<font color="Maroon" title="c1">y</font>)</span>)</span> = 
 <a href="sin_cos.html#K23" title="SIN_COS:func.23">exp_R</a> <span class="p1">(<span class="default"><a href="power.html#K3" title="POWER:func.3">log</a> (<a href="power.html#K4" title="POWER:func.4">number_e</a>,<font color="Maroon" title="c1">y</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sin_cos.html#D23" onmouseover="rs('sin_cos/D23')" onmouseout="rh()">SIN_COS:def 23</a></span>
<br/>.= 
<font color="Maroon" title="c1">y</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:20"><span class="lab"><font color="Green" title="E18">A1</font></span></a>, <a class="ref" href="taylor_1.html#T14" target="_self" onmouseover="rs('taylor_1/T14')" onmouseout="rh()">Th14</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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