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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th19</font></span>: <a NAME="T23"><span class="comment"><font color="firebrick">:: MUSIC_S1:23</font></span><br/></a><div class="add"> 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#K10" title="MUSIC_S1:func.10">RAT_Music</a> holds <br/> (  the <a href="music_s1.html#U2" title="MUSIC_S1:sel.2">Ratio</a> of <a href="music_s1.html#K10" title="MUSIC_S1:func.10">RAT_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#K10" title="MUSIC_S1:func.10">RAT_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>) iff  the <a href="music_s1.html#U2" title="MUSIC_S1:sel.2">Ratio</a> of <a href="music_s1.html#K10" title="MUSIC_S1:func.10">RAT_Music</a> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b2">f2</font>,<font color="Olive" title="b1">f1</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#K10" title="MUSIC_S1:func.10">RAT_Music</a> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b4">f4</font>,<font color="Olive" title="b3">f3</font>) )</div></div>
