<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="midsp_2.html#K8" title="MIDSP_2:func.8">MidSp.</a> <a onclick="hs(this)" href="javascript:()">MIDSP_2:def 11 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G</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="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="midsp_2.html#V2" title="MIDSP_2:attr.2">midpoint_operator</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a> <br/>  for <font color="Olive" title="b3">w</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b1">S</font>,<font color="Olive" title="b1">S</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">G</font>  st <font color="Olive" title="b3">w</font> <a href="midsp_2.html#R1" title="MIDSP_2:pred.1">is_atlas_of</a> <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">G</font> holds <br/> <a href="midsp_2.html#K8" title="MIDSP_2:func.8">MidSp.</a> <font color="Olive" title="b3">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_1.html#G1" title="MIDSP_1:aggr.1">MidStr</a>(# <font color="Olive" title="b1">S</font>,<span class="p1">(<span class="default"><a href="midsp_2.html#K6" title="MIDSP_2:func.6">@</a> <font color="Olive" title="b3">w</font></span>)</span> #);<br/></span></div>
