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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E23">defra</font></span>   defines <a href="field_5.html#K4" title="FIELD_5:func.4">ren_add</a> <a onclick="hs(this)" href="javascript:()">FIELD_5: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">Z</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">r</font> being    <a href="field_5.html#M1" title="FIELD_5:mode.1">Renaming</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">Z</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b3">r</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_5.html#K4" title="FIELD_5:func.4">ren_add</a> <font color="Olive" title="b3">r</font> iff  for <font color="Olive" title="b5">a</font>, <font color="Olive" title="b6">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b3">r</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b5">a</font>,<font color="Olive" title="b6">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">r</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">r</font> <a href="field_5.html#K3" title="FIELD_5:func.3">"</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">a</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">r</font> <a href="field_5.html#K3" title="FIELD_5:func.3">"</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">b</font></span>)</span></span>)</span> );<br/></span></div>
