<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a> <a onclick="hs(this)" href="javascript:()">VECTSP_7:def 4 : <br/></a><span> for <font color="Olive" title="b1">GF</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">IT</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">GF</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a>  iff  ex <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">IT</font> st <font color="Olive" title="b3">B</font> is  <a href="vectsp_7.html#V2" title="VECTSP_7:attr.2">base</a>  );<br/></span></div>
