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<span class="kw">let </span><font color="Maroon" title="c2">p</font> be   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">preProgram</a> of <font color="Maroon" title="c1">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">p</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  implies <font color="Maroon" title="c2">p</font> is  <a href="compos_1.html#V2" title="COMPOS_1:attr.2">halt-free</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:150_1_1"/>
<font color="Maroon" title="c2">p</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">p</font> is  <a href="compos_1.html#V2" title="COMPOS_1:attr.2">halt-free</a> </span><br/>

<span class="kw">hence </span><a NAME="E2:150_1_1"/>
 not  <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <font color="Maroon" title="c1">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c2">p</font>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="compos_1.html#D3" target="_self" title="COMPOS_1:def.3">COMPOS_1:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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