<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E3">Def10</font></span>   defines <a href="zmodul02.html#K10" title="ZMODUL02:func.10">Z_ModuleQuot</a> <a onclick="hs(this)" href="javascript:()">ZMODUL02:def 10 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">W</font> being   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">strict</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zmodul02.html#K10" title="ZMODUL02:func.10">Z_ModuleQuot</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>) iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zmodul02.html#K6" title="ZMODUL02:func.6">CosetSet</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>) &amp;  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="zmodul02.html#K7" title="ZMODUL02:func.7">addCoset</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>) &amp;  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zmodul02.html#K8" title="ZMODUL02:func.8">zeroCoset</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>) &amp;  the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">lmult</a> of <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="zmodul02.html#K9" title="ZMODUL02:func.9">lmultCoset</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>) ) );<br/></span></div>
