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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E32">defPg</font></span>   defines <a href="field_11.html#K7" title="FIELD_11:func.7">Poly</a> <a onclick="hs(this)" href="javascript:()">FIELD_11:def 6 : <br/></a><span> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">m</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b3">p</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="polynom1.html#NM2" title="POLYNOM1:NM.2">Polynomial</a> of <span class="p1">(<span class="default"><a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p2">(<span class="default"><a href="field_11.html#K5" title="FIELD_11:func.5">nonConstantPolys</a> <font color="Olive" title="b1">F</font></span>)</span></span>)</span>,<font color="Olive" title="b1">F</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_11.html#K7" title="FIELD_11:func.7">Poly</a> (<font color="Olive" title="b2">m</font>,<font color="Olive" title="b3">p</font>) iff ( <font color="Olive">b<sub>4</sub></font> <a href="polynom1.html#K4" title="POLYNOM1:func.4">.</a> <span class="p1">(<span class="default"><a href="pre_poly.html#K16" title="PRE_POLY:func.16">EmptyBag</a> <span class="p2">(<span class="default"><a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p3">(<span class="default"><a href="field_11.html#K5" title="FIELD_11:func.5">nonConstantPolys</a> <font color="Olive" title="b1">F</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> &amp; (  for <font color="Olive" title="b5">b</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="field_11.html#K5" title="FIELD_11:func.5">nonConstantPolys</a> <font color="Olive" title="b1">F</font></span>)</span>  st  <a href="pre_poly.html#K22" title="PRE_POLY:func.22">support</a> <font color="Olive" title="b5">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="polynom1.html#K4" title="POLYNOM1:func.4">.</a> <font color="Olive" title="b5">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">p</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">b</font> <a href="recdef_1.html#K1" title="RECDEF_1:func.1">.</a> <font color="Olive" title="b2">m</font></span>)</span> ) &amp; (  for <font color="Olive" title="b5">b</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="field_11.html#K5" title="FIELD_11:func.5">nonConstantPolys</a> <font color="Olive" title="b1">F</font></span>)</span>  st  <a href="pre_poly.html#K22" title="PRE_POLY:func.22">support</a> <font color="Olive" title="b5">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp;  <a href="pre_poly.html#K22" title="PRE_POLY:func.22">support</a> <font color="Olive" title="b5">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="polynom1.html#K4" title="POLYNOM1:func.4">.</a> <font color="Olive" title="b5">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">F</font> ) ) );<br/></span></div>
