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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: RATFUNC1:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="algstr_0.html#V33" title="ALGSTR_0:attr.33">almost_left_invertible</a>   <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>   <a href="vectsp_2.html#V1" title="VECTSP_2:attr.1">domRing-like</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">z</font> being    <a href="ratfunc1.html#M1" title="RATFUNC1:mode.1">rational_function</a> of <font color="Olive" title="b1">L</font> holds   <a href="ratfunc1.html#K12" title="RATFUNC1:func.12">degree</a> <font color="Olive" title="b2">z</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<span class="p1">(<span class="default"><a href="hurwitz.html#K2" title="HURWITZ:func.2">degree</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">z</font> <a href="ratfunc1.html#K4" title="RATFUNC1:func.4">`1</a></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="hurwitz.html#K2" title="HURWITZ:func.2">degree</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">z</font> <a href="ratfunc1.html#K5" title="RATFUNC1:func.5">`2</a></span>)</span></span>)</span>)</div></div>
