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<span class="kw">let </span><font color="Maroon" title="c1">N</font> be   <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="memstr_0.html#V2" title="MEMSTR_0:attr.2">IC-Ins-separated</a>   <a href="memstr_0.html#L1" title="MEMSTR_0:struct.1">Mem-Struct</a> of <font color="Maroon" title="c1">N</font><br/>  for <font color="Olive" title="b2">d</font> being   <a href="memstr_0.html#V3" title="MEMSTR_0:attr.3">data-only</a>  <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">k</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> holds  <font color="Olive" title="b2">d</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Olive" title="b3">k</font>,<font color="Olive" title="b1">S</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">S</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="memstr_0.html#V2" title="MEMSTR_0:attr.2">IC-Ins-separated</a>   <a href="memstr_0.html#L1" title="MEMSTR_0:struct.1">Mem-Struct</a> of <font color="Maroon" title="c1">N</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">d</font> being   <a href="memstr_0.html#V3" title="MEMSTR_0:attr.3">data-only</a>  <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Maroon" title="c2">S</font><br/>  for <font color="Olive" title="b2">k</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> holds  <font color="Olive" title="b1">d</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Olive" title="b2">k</font>,<font color="Maroon" title="c2">S</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c3">d</font> be   <a href="memstr_0.html#V3" title="MEMSTR_0:attr.3">data-only</a>  <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">k</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> holds  <font color="Maroon" title="c3">d</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Olive" title="b1">k</font>,<font color="Maroon" title="c2">S</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c4">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</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="c3">d</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Maroon" title="c4">k</font>,<font color="Maroon" title="c2">S</font>)</span><br/>







<a NAME="E1:47"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Maroon" title="c4">k</font>,<font color="Maroon" title="c2">S</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a> </span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T13" title="FUNCOP_1:th.13">FUNCOP_1:13</a></span>;<br/>
<a NAME="E2:47"/><span class="kw">then </span>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c3">d</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Maroon" title="c4">k</font>,<font color="Maroon" title="c2">S</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="memstr_0.html#T10" target="_self" title="MEMSTR_0:th.10">Th57</a>, <a class="ref" href="zfmisc_1.html#T50" title="ZFMISC_1:th.50">ZFMISC_1:50</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:47"/>
<font color="Maroon" title="c3">d</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">Start-At</a> (<font color="Maroon" title="c4">k</font>,<font color="Maroon" title="c2">S</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="partfun1.html#T56" title="PARTFUN1:th.56">PARTFUN1:56</a></span>; <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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