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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E75">Th51</font></span>: <a NAME="T62"><span class="comment"><font color="firebrick">:: MUSIC_S1:62</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">MS</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="music_s1.html#V2" title="MUSIC_S1:attr.2">satisfying_Real</a>   <a href="music_s1.html#V3" title="MUSIC_S1:attr.3">satisfying_equiv</a>   <a href="music_s1.html#V4" title="MUSIC_S1:attr.4">satisfying_interval</a>   <a href="music_s1.html#V6" title="MUSIC_S1:attr.6">satisfying_commutativity</a>   <a href="music_s1.html#V7" title="MUSIC_S1:attr.7">satisfying_Nat</a>   <a href="music_s1.html#V8" title="MUSIC_S1:attr.8">satisfying_harmonic_closed</a>   <a href="music_s1.html#V11" title="MUSIC_S1:attr.11">satisfying_fifth_constructible</a>   <a href="music_s1.html#V13" title="MUSIC_S1:attr.13">satisfying_octave_constructible</a>   <a href="music_s1.html#V14" title="MUSIC_S1:attr.14">classical_octave</a>   <a href="music_s1.html#V15" title="MUSIC_S1:attr.15">satisfying_octave_descendent_constructible</a>   <a href="music_s1.html#L1" title="MUSIC_S1:struct.1">MusicStruct</a> <br/>  for <font color="Olive" title="b2">frequency</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">MS</font>  ex <font color="Olive" title="b3">r</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>( <font color="Olive" title="b2">frequency</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">r</font> &amp;  <a href="music_s1.html#K51" title="MUSIC_S1:func.51">Octave_descendent</a> (<font color="Olive" title="b1">MS</font>,<font color="Olive" title="b2">frequency</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">r</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> 2 )</div></div>
