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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E2">dd</font></span>   defines <a href="field_16.html#K2" title="FIELD_16:func.2">`^</a> <a onclick="hs(this)" href="javascript:()">FIELD_16:def 1 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">L</font>,<font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">L</font>,<font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> <a href="field_16.html#K2" title="FIELD_16:func.2">`^</a> <font color="Olive" title="b3">n</font> iff  ex <font color="Olive" title="b5">F</font> being   <a href="aimloop.html#K1" title="AIMLOOP:func.1">Funcs</a> (<font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>1</sub></font>) <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>   <a href="field_12.html#M1" title="FIELD_12:mode.1">sequence</a>  st <br/>( <font color="Olive">b<sub>4</sub></font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b5">F</font> <a href="field_16.html#K1" title="FIELD_16:func.1">.</a> <font color="Olive" title="b3">n</font> &amp; <font color="Olive" title="b5">F</font> <a href="field_16.html#K1" title="FIELD_16:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b1">L</font> &amp; (  for <font color="Olive" title="b6">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b5">F</font> <a href="field_16.html#K1" title="FIELD_16:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">F</font> <a href="field_16.html#K1" title="FIELD_16:func.1">.</a> <font color="Olive" title="b6">i</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b2">f</font> ) ) );<br/></span></div>
