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<a NAME="E1:27"/><i><font color="Green" title="E18">A1</font></i>: 
 <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="toprealb.html#K6" title="TOPREALB:func.6">R^1</a> <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a> 
 
;<br/>
<a NAME="E2:27"/>
 <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<b>by </b><i><a class="ref" href="sin_cos.html#T27" title="SIN_COS:th.27">SIN_COS:27</a></i>;<br/>
<a NAME="E3:27"/><b>then </b>
<a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a>  <a href="pre_topc.html#K1" title="PRE_TOPC:func.1">|</a> <span class="p1">(<span class="default"><a href="toprealb.html#K5" title="TOPREALB:func.5">R^1</a> <span class="p2">(<span class="default"><a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a> </span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a> 
 
<b>by </b><i><a class="ref" href="toprealb.html#T6" target="_self" title="TOPREALB:th.6">Th6</a></i>;<br/>
<a NAME="E4:27"/><b>then </b>
 <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a>  is   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a> ,<span class="p1">(<span class="default"><a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a>  <a href="pre_topc.html#K1" title="PRE_TOPC:func.1">|</a> <span class="p2">(<span class="default"><a href="toprealb.html#K5" title="TOPREALB:func.5">R^1</a> <span class="p3"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p4">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 1</span>)</span>,1</span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="toprealb.html#E1:27"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="comptrig.html#T46" title="COMPTRIG:th.46">COMPTRIG:46</a></i>;<br/>
<b>hence </b><a NAME="E5:27"/>
 <a href="sin_cos.html#K19" title="SIN_COS:func.19">sin</a>  is   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a> ,<a href="topalg_2.html#K3" title="TOPALG_2:func.3">R^1</a> 
 <b>by </b><i><a class="ref" href="topreala.html#T28" title="TOPREALA:th.28">TOPREALA:28</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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