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<span class="kw">let </span><font color="Maroon" title="c1">ET</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="fintopo2.html#V1" title="FINTOPO2:attr.1">strict</a>   <a href="fintopo2.html#L1" title="FINTOPO2:struct.1">FMT_Space_Str</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="c1">ET</font> is  <a href="fintopo2.html#V2" title="FINTOPO2:attr.2">Fo_filled</a>  &amp; <font color="Maroon" title="c1">ET</font> is  <a href="fintopo7.html#V2" title="FINTOPO7:attr.2">U_FMT_filter</a>  implies <font color="Maroon" title="c1">ET</font> is  <a href="fintopo7.html#V3" title="FINTOPO7:attr.3">U_FMT_with_point</a>  )</span><br/>

<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:10"/><span class="lab"><font color="Green" title="E10">A1</font></span>: 
<font color="Maroon" title="c1">ET</font> is  <a href="fintopo2.html#V2" title="FINTOPO2:attr.2">Fo_filled</a> 
 <span class="kw">and </span><br/><a NAME="E2:10"/><span class="lab"><font color="Green" title="E11">A2</font></span>: 
<font color="Maroon" title="c1">ET</font> is  <a href="fintopo7.html#V2" title="FINTOPO7:attr.2">U_FMT_filter</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="c1">ET</font> is  <a href="fintopo7.html#V3" title="FINTOPO7:attr.3">U_FMT_with_point</a> </span><br/>

<a NAME="E3:10"/>
 for <font color="Olive" title="b1">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">ET</font>  holds  not  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b1">x</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:10"><span class="lab"><font color="Green" title="E11">A2</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:10"/>
<font color="Maroon" title="c1">ET</font> is  <a href="fintopo7.html#V3" title="FINTOPO7:attr.3">U_FMT_with_point</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:10"><span class="lab"><font color="Green" title="E10">A1</font></span></a>, <a class="ref" href="fintopo7.html#T8" target="_self" onmouseover="rs('fintopo7/T8')" onmouseout="rh()">Th5</a></span>; <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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