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<div>:: <span class="kw">deftheorem </span>   defines <a href="midsp_3.html#V2" title="MIDSP_3:attr.2">being_invariance</a> <a onclick="hs(this)" href="javascript:()">MIDSP_3:def 3 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">RAS</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="midsp_1.html#V2" title="MIDSP_1:attr.2">MidSp-like</a>   <a href="midsp_3.html#L1" title="MIDSP_3:struct.1">ReperAlgebraStr</a> over <font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2 holds <br/> ( <font color="Olive" title="b2">RAS</font> is  <a href="midsp_3.html#V2" title="MIDSP_3:attr.2">being_invariance</a>  iff  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b2">RAS</font><br/>  for <font color="Olive" title="b5">p</font>, <font color="Olive" title="b6">q</font> being   <a href="midsp_3.html#NM1" title="MIDSP_3:NM.1">Tuple</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>,<font color="Olive" title="b2">RAS</font>  st (  for <font color="Olive" title="b7">m</font> being    <a href="midsp_3.html#M1" title="MIDSP_3:mode.1">Nat</a> of <font color="Olive" title="b1">n</font> holds  <font color="Olive" title="b3">a</font> <a href="midsp_1.html#K3" title="MIDSP_1:func.3">@</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">q</font> <a href="midsp_3.html#K5" title="MIDSP_3:func.5">.</a> <font color="Olive" title="b7">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b</font> <a href="midsp_1.html#K3" title="MIDSP_1:func.3">@</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">p</font> <a href="midsp_3.html#K5" title="MIDSP_3:func.5">.</a> <font color="Olive" title="b7">m</font></span>)</span> ) holds <br/><font color="Olive" title="b3">a</font> <a href="midsp_1.html#K3" title="MIDSP_1:func.3">@</a> <span class="p1">(<span class="default"><a href="midsp_3.html#K4" title="MIDSP_3:func.4">*'</a> (<font color="Olive" title="b4">b</font>,<font color="Olive" title="b6">q</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b</font> <a href="midsp_1.html#K3" title="MIDSP_1:func.3">@</a> <span class="p1">(<span class="default"><a href="midsp_3.html#K4" title="MIDSP_3:func.4">*'</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">p</font>)</span>)</span> );<br/></span></div>
