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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def7</font></span>   defines <a href="ringder1.html#K7" title="RINGDER1:func.7">LBZ2</a> <a onclick="hs(this)" href="javascript:()">RINGDER1:def 7 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a><br/>  for <font color="Olive" title="b2">D</font> being   <a href="ringder1.html#NM1" title="RINGDER1:NM.1">Derivation</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>6</sub></font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringder1.html#K7" title="RINGDER1:func.7">LBZ2</a> (<font color="Olive" title="b2">D</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font>) iff (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">m</font> &amp; (  for <font color="Olive" title="b7">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b7">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive">b<sub>6</sub></font> holds <br/><font color="Olive">b<sub>6</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">m</font> <a href="newton.html#K4" title="NEWTON:func.4">choose</a> <font color="Olive" title="b7">i</font></span>)</span> <a href="binom.html#K5" title="BINOM:func.5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b2">D</font> <a href="vectsp11.html#K1" title="VECTSP11:func.1">|^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Olive" title="b3">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> <font color="Olive" title="b7">i</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">x</font></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">D</font> <a href="vectsp11.html#K1" title="VECTSP11:func.1">|^</a> <font color="Olive" title="b7">i</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">y</font></span>)</span> ) ) );<br/></span></div>
