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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<a NAME="E1:1"/>
<a href="sin_cos2.html#K4">cosh</a>  <a href="seq_1.html#K2">.</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 
<b>by </b><i><a class="ref" href="sin_cos2.html#T37">SIN_COS2:37</a></i>;<br/>
<b>hence </b><a NAME="E2:1"/>
(  <a href="sin_cos2.html#K6">cosh</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1 &amp;  <a href="sin_cos2.html#K6">cosh</a> 0 <a href="hidden.html#R1">=</a> 1 &amp;  <a href="sin_cos2.html#K3">sinh</a> 0 <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i><a class="ref" href="sin_cos2.html#D2">SIN_COS2:def 2</a>, <a class="ref" href="sin_cos2.html#D4">SIN_COS2:def 4</a>, <a class="ref" href="sin_cos2.html#T15">SIN_COS2:15</a>, <a class="ref" href="sin_cos2.html#T16">SIN_COS2:16</a></i>;<br/>


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