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<div><span class="kw">theorem </span><a NAME="T44"><span class="comment"><font color="firebrick">:: COMPOS_1:44</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">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>   the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">InstructionsF</a> of <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b4">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">P</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">Q</font> holds <br/> <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b4">k</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">k</font>)</div></div>
