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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E14">Def9</font></span>   defines <a href="alg_1.html#K3" title="ALG_1:func.3">QuotOpSeq</a> <a onclick="hs(this)" href="javascript:()">ALG_1:def 9 : <br/></a><span> for <font color="Olive" title="b1">U1</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b2">E</font> being    <a href="alg_1.html#M1" title="ALG_1:mode.1">Congruence</a> of <font color="Olive" title="b1">U1</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="margrel1.html#NM6" title="MARGREL1:NM.6">PFuncFinSequence</a> of <span class="p1">(<span class="default"><a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <font color="Olive" title="b2">E</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="alg_1.html#K3" title="ALG_1:func.3">QuotOpSeq</a> (<font color="Olive" title="b1">U1</font>,<font color="Olive" title="b2">E</font>) iff (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive" title="b1">U1</font> &amp; (  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">n</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>3</sub></font> holds <br/> for <font color="Olive" title="b5">o1</font> being   <a href="unialg_2.html#NM3" title="UNIALG_2:NM.3">operation</a> of <font color="Olive" title="b1">U1</font>  st  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive" title="b1">U1</font> <a href="partfun1.html#K8" title="PARTFUN1:func.8">.</a> <font color="Olive" title="b4">n</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b5">o1</font> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="partfun1.html#K8" title="PARTFUN1:func.8">.</a> <font color="Olive" title="b4">n</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="alg_1.html#K2" title="ALG_1:func.2">QuotOp</a> (<font color="Olive" title="b5">o1</font>,<font color="Olive" title="b2">E</font>) ) ) );<br/></span></div>
