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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K4" title="SIN_COS:func.4">!c</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K5" title="SIN_COS:func.5">!</a> </span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span></span><br/>

<a NAME="E1:70"/>
<font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K4" title="SIN_COS:func.4">!c</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K5" title="SIN_COS:func.5">!</a> 
 
<b>by </b><i><a class="ref" href="sin_cos.html#T37" target="_self" title="SIN_COS:th.37">Th37</a></i>;<br/>
<b>hence </b><a NAME="E2:70"/>
<font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K4" title="SIN_COS:func.4">!c</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="sin_cos.html#K5" title="SIN_COS:func.5">!</a> </span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span>
 <b>by </b><i><a class="ref" href="arytm_0.html#D7" title="ARYTM_0:def.7">ARYTM_0:def 7</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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