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<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: COMPOS_1:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being    <a href="compos_1.html#L1" title="COMPOS_1:struct.1">COM-Struct</a> <br/>  for <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</font> being   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">f</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 holds <br/><span class="p1">(<span class="default"><a href="compos_1.html#K5" title="COMPOS_1:func.5">IncAddr</a> (<font color="Olive" title="b2">F</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="compos_1.html#K5" title="COMPOS_1:func.5">IncAddr</a> (<span class="p2">(<span class="default"><font color="Olive" title="b2">F</font> <a href="compos_1.html#K7" title="COMPOS_1:func.7">';'</a> <font color="Olive" title="b3">G</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">f</font></div></div>
