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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_i00.html#K71" title="AOFA_I00:func.71">gt</a> <a onclick="hs(this)" href="javascript:()">AOFA_I00:def 65 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   <a href="aofa_i00.html#V2" title="AOFA_I00:attr.2">Euclidean</a>  <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a><br/>  for <font color="Olive" title="b2">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">X</font><br/>  for <font color="Olive" title="b4">g</font> being   <a href="aofa_i00.html#V1" title="AOFA_I00:attr.1">Euclidean</a>   <a href="aofa_000.html#M1" title="AOFA_000:mode.1">ExecutionFunction</a> of <font color="Olive" title="b1">A</font>, <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b2">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>),<span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b2">X</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>)</span>)</span> <a href="aofa_i00.html#K1" title="AOFA_I00:func.1">\</a> (<font color="Olive" title="b3">b</font>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)<br/>  for <font color="Olive" title="b5">v1</font>, <font color="Olive" title="b6">v2</font> being    <a href="aofa_i00.html#M2" title="AOFA_I00:mode.2">INT-Variable</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b4">g</font> holds  <font color="Olive" title="b5">v1</font> <a href="aofa_i00.html#K71" title="AOFA_I00:func.71">gt</a> <font color="Olive" title="b6">v2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="aofa_i00.html#K40" title="AOFA_I00:func.40">.</a> <font color="Olive" title="b5">v1</font></span>)</span> <a href="aofa_i00.html#K68" title="AOFA_I00:func.68">gt</a> <span class="p1">(<span class="default"><a href="aofa_i00.html#K40" title="AOFA_I00:func.40">.</a> <font color="Olive" title="b6">v2</font></span>)</span>;<br/></span></div>
