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<span class="kw">let </span><font color="Maroon" title="c1">Y</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">A</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">Y</font> holds   <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Olive" title="b1">A</font> is    <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="tex_4.html#K6" title="TEX_4:func.6">MaxADSspace</a> <font color="Olive" title="b1">A</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">A</font> be  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">Y</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is    <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="tex_4.html#K6" title="TEX_4:func.6">MaxADSspace</a> <font color="Maroon" title="c2">A</font></span><br/>



<a NAME="E1:125"/><span class="lab"><font color="Green" title="E65">A1</font></span>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="tex_4.html#E100"><span class="lab"><font color="Green" title="E63">Lm3</font></span></a></span>;<br/>
<a NAME="E2:125"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K6" title="TEX_4:func.6">MaxADSspace</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tex_4.html#K3" title="TEX_4:func.3">MaxADSet</a> <font color="Maroon" title="c2">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tex_4.html#D18" target="_self" title="TEX_4:def.18">Def18</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:125"/>
 <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is    <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="tex_4.html#K6" title="TEX_4:func.6">MaxADSspace</a> <font color="Maroon" title="c2">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:125"><span class="lab"><font color="Green" title="E65">A1</font></span></a>, <a class="txt" href="tex_4.html#E93"><span class="lab"><font color="Green" title="E62">Lm2</font></span></a>, <a class="ref" href="tex_4.html#T34" target="_self" title="TEX_4:th.34">Th34</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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