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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E29">Def3</font></span>   defines <a href="ideal_2.html#K4" title="IDEAL_2:func.4">Psi</a> <a onclick="hs(this)" href="javascript:()">IDEAL_2:def 3 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">q</font> being   <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="ring_2.html#K2" title="RING_2:func.2">Ideals</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">A</font> <a href="ring_1.html#NK3" title="RING_1:NK.3">/</a> <font color="Olive" title="b2">q</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="topzari1.html#K1" title="TOPZARI1:func.1">Ideals</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">q</font>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ideal_2.html#K4" title="IDEAL_2:func.4">Psi</a> <font color="Olive" title="b2">q</font> iff  for <font color="Olive" title="b4">x</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ring_2.html#K2" title="RING_2:func.2">Ideals</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">A</font> <a href="ring_1.html#NK3" title="RING_1:NK.3">/</a> <font color="Olive" title="b2">q</font></span>)</span> holds  <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ring_2.html#K3" title="RING_2:func.3">canHom</a> <font color="Olive" title="b2">q</font></span>)</span> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <font color="Olive" title="b4">x</font> );<br/></span></div>
