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<a NAME="E1:83"/><i><font color="Green" title="E101">A1</font></i>: 
(  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 4 &amp; <a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 4 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 2 )
 
<b>by </b><i><a class="txt" href="sincos10.html#E20"><i><font color="Green" title="E16">Lm12</font></i></a>, <a class="ref" href="xxreal_1.html#T2" title="XXREAL_1:th.2">XXREAL_1:2</a></i>;<br/>
<i><font color="Green" title="E102">A2</font></i>: <a href="sincos10.html#K4" title="SINCOS10:func.4">arccosec2</a>  <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <span class="p1">(<span class="default"><a href="square_1.html#K7" title="SQUARE_1:func.7">sqrt</a> 2</span>)</span> = 
 <a href="sincos10.html#K12" title="SINCOS10:func.12">arccosec2</a> <span class="p1">(<span class="default"><a href="square_1.html#K7" title="SQUARE_1:func.7">sqrt</a> 2</span>)</span>

<br/>.= 
<a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 4
<b>by </b><i><a class="txt" href="#E1:83"><i><font color="Green" title="E101">A1</font></i></a>, <a class="ref" href="sincos10.html#T32" target="_self" title="SINCOS10:th.32">Th32</a>, <a class="ref" href="sincos10.html#T72" target="_self" title="SINCOS10:th.72">Th72</a></i>
;<br/>
<a href="sincos10.html#K4" title="SINCOS10:func.4">arccosec2</a>  <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> 1 = 
 <a href="sincos10.html#K12" title="SINCOS10:func.12">arccosec2</a> 1

<br/>.= 
<a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 2
<b>by </b><i><a class="ref" href="sincos10.html#T32" target="_self" title="SINCOS10:th.32">Th32</a>, <a class="ref" href="sincos10.html#T72" target="_self" title="SINCOS10:th.72">Th72</a></i>
;<br/>
<b>hence </b><a NAME="E4:83"/>
( <a href="sincos10.html#K4" title="SINCOS10:func.4">arccosec2</a>  <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <span class="p1">(<span class="default"><a href="square_1.html#K7" title="SQUARE_1:func.7">sqrt</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 4 &amp; <a href="sincos10.html#K4" title="SINCOS10:func.4">arccosec2</a>  <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="sin_cos.html#K36" title="SIN_COS:func.36">PI</a>  <a href="real_1.html#K10" title="REAL_1:func.10">/</a> 2 )
 <b>by </b><i><a class="txt" href="#E2:83"><i><font color="Green" title="E102">A2</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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