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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E48">Th49</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: AOFA_A00:54</font></span><br/></a><div class="add"> 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">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 holds <br/> for <font color="Olive" title="b3">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="aofa_a00.html#V16" title="AOFA_A00:attr.16">bool-correct</a>   <a href="aofa_a00.html#L6" title="AOFA_A00:struct.6">BoolSignature</a>   st <font color="Olive" title="b3">S</font> is <font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">I</font> <a href="aofa_a00.html#V18" title="AOFA_A00:attr.18">integer</a>  holds <br/> ex <font color="Olive" title="b4">A</font> being   <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="aofa_a00.html#V17" title="AOFA_A00:attr.17">bool-correct</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b3">S</font> st <font color="Olive" title="b4">A</font> is <font color="Olive" title="b1">n</font>,<font color="Olive" title="b2">I</font> <a href="aofa_a00.html#V20" title="AOFA_A00:attr.20">integer</a> </div></div>
