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<b>thus </b><a NAME="E1:34"/><i><font color="Green">E40</font></i>: 
 <a href="sin_cos.html#K22">cos</a>  <a href="fcont_1.html#R2">is_continuous_on</a>  <a href="numbers.html#K1">REAL</a> 
 <b>by </b><i><a class="ref" href="fdiff_1.html#T33">FDIFF_1:33</a>, <a class="ref" href="sin_cos.html#T72">SIN_COS:72</a></i>;<br/>

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>thus </b><a NAME="E2:34"/>
(  <a href="sin_cos.html#K22">cos</a>  <a href="fcont_1.html#R2">is_continuous_on</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="rcomp_1.html#K1">.]</a></span> &amp;  <a href="sin_cos.html#K22">cos</a>  <a href="fcont_1.html#R2">is_continuous_on</a> <span class="p1"><a href="rcomp_1.html#K2">].</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="rcomp_1.html#K2">.[</a></span> )
 <b>by </b><i><a class="txt" href="comptrig.html#E1:34"><i><font color="Green">E40</font></i></a>, <a class="ref" href="fcont_1.html#T17">FCONT_1:17</a></i>;<br/>


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