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<span class="kw">reconsider </span><font color="Maroon" title="c3">f</font> =  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  as   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="memstr_0.html#K11" title="MEMSTR_0:func.11">FinPartSt</a> <font color="Maroon" title="c2">S</font></span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K11" title="MEMSTR_0:func.11">FinPartSt</a> <font color="Maroon" title="c2">S</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="relset_1.html#T12" onmouseover="rs('relset_1/T12')" onmouseout="rh()">RELSET_1:12</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c3">f</font>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">f</font> is  <a href="memstr_0.html#V6" title="MEMSTR_0:attr.6">data-only</a> </span><br/>

<span class="kw">let </span><font color="Maroon" title="c4">p</font> be   <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Maroon" title="c2">S</font>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="memstr_0.html#D17" target="_self" onmouseover="rs('memstr_0/D17')" onmouseout="rh()">MEMSTR_0:def 17</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Maroon" title="c3">f</font> implies ( <font color="Maroon" title="c4">p</font> is  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">data-only</a>  &amp; (  for <font color="Olive" title="b1">q</font> being   <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Maroon" title="c2">S</font>  st <font color="Olive" title="b1">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">p</font> holds <br/><font color="Olive" title="b1">q</font> is  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">data-only</a>  ) ) )</span><br/>

<span class="kw">thus </span><a NAME="E2:123_1_1"/>
( <font color="Maroon" title="c4">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Maroon" title="c3">f</font> implies ( <font color="Maroon" title="c4">p</font> is  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">data-only</a>  &amp; (  for <font color="Olive" title="b1">q</font> being   <a href="memstr_0.html#NM1" title="MEMSTR_0:NM.1">PartState</a> of <font color="Maroon" title="c2">S</font>  st <font color="Olive" title="b1">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">p</font> holds <br/><font color="Olive" title="b1">q</font> is  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">data-only</a>  ) ) )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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