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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E109">Def68</font></span>   defines <a href="modelc_1.html#K56" title="MODELC_1:func.56">PathChange</a> <a onclick="hs(this)" href="javascript:()">MODELC_1:def 68 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">pai1</font>, <font color="Olive" title="b4">pai2</font> being    <a href="modelc_1.html#M1" title="MODELC_1:mode.1">inf_path</a> of <font color="Olive" title="b2">R</font><br/>  for <font color="Olive" title="b5">n</font>, <font color="Olive" title="b6">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( ( <font color="Olive" title="b5">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b6">k</font> implies  <a href="modelc_1.html#K56" title="MODELC_1:func.56">PathChange</a> (<font color="Olive" title="b3">pai1</font>,<font color="Olive" title="b4">pai2</font>,<font color="Olive" title="b6">k</font>,<font color="Olive" title="b5">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">pai1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">n</font> ) &amp; (  not <font color="Olive" title="b5">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b6">k</font> implies  <a href="modelc_1.html#K56" title="MODELC_1:func.56">PathChange</a> (<font color="Olive" title="b3">pai1</font>,<font color="Olive" title="b4">pai2</font>,<font color="Olive" title="b6">k</font>,<font color="Olive" title="b5">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">pai2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b6">k</font></span>)</span> ) );<br/></span></div>
