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<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> implies <font color="Maroon" title="c1">X</font> is <a href="rewrite2.html#V1" title="REWRITE2:attr.1">XFinSequence-yielding</a> )</span><br/>

<b>assume </b><a NAME="E1:6_1_1"/><i><font color="Green" title="E6">Z</font></i>: 
<font color="Maroon" title="c1">X</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">X</font> is <a href="rewrite2.html#V1" title="REWRITE2:attr.1">XFinSequence-yielding</a></span><br/>

<b>let </b><font color="Maroon" title="c2">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="rewrite2.html#D1" target="_self" title="REWRITE2:def.1">REWRITE2:def 1</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">X</font> implies <font color="Maroon" title="c1">X</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font> is   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a> )</span><br/>

<b>thus </b><a NAME="E2:6_1_1"/>
( <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">X</font> implies <font color="Maroon" title="c1">X</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">x</font> is   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</a> )
 <b>by </b><i><a class="txt" href="#E1:6_1_1"><i><font color="Green" title="E6">Z</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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