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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th7</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: MUSIC_S1:8</font></span><br/></a><div class="add">(  not  <a href="music_s1.html#K6" title="MUSIC_S1:func.6">REAL_Music</a>  is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp;  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="music_s1.html#K6" title="MUSIC_S1:func.6">REAL_Music</a> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="music_s1.html#K2" title="MUSIC_S1:func.2">REALPLUS</a>  &amp; (  for <font color="Olive" title="b1">f1</font>, <font color="Olive" title="b2">f2</font>, <font color="Olive" title="b3">f3</font>, <font color="Olive" title="b4">f4</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="music_s1.html#K6" title="MUSIC_S1:func.6">REAL_Music</a> holds <br/> ( <font color="Olive" title="b1">f1</font>,<font color="Olive" title="b2">f2</font> <a href="music_s1.html#R1" title="MUSIC_S1:pred.1">equiv</a> <font color="Olive" title="b3">f3</font>,<font color="Olive" title="b4">f4</font> iff  the <a href="music_s1.html#U2" title="MUSIC_S1:sel.2">Ratio</a> of <a href="music_s1.html#K6" title="MUSIC_S1:func.6">REAL_Music</a> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b1">f1</font>,<font color="Olive" title="b2">f2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="music_s1.html#U2" title="MUSIC_S1:sel.2">Ratio</a> of <a href="music_s1.html#K6" title="MUSIC_S1:func.6">REAL_Music</a> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b3">f3</font>,<font color="Olive" title="b4">f4</font>) ) ) )</div></div>
