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<span class="kw">let </span><font color="Maroon" title="c1">V</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="clvect_1.html#L1" title="CLVECT_1:struct.1">CLSStruct</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">L1</font>, <font color="Olive" title="b2">L2</font> being   <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Maroon" title="c1">V</font> holds   <a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">L1</font> <a href="convex4.html#K9" title="CONVEX4:func.9">-</a> <font color="Olive" title="b2">L2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Olive" title="b1">L1</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Olive" title="b2">L2</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">L1</font>, <font color="Maroon" title="c3">L2</font> be    <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Maroon" title="c1">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">L1</font> <a href="convex4.html#K9" title="CONVEX4:func.9">-</a> <font color="Maroon" title="c3">L2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Maroon" title="c2">L1</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Maroon" title="c3">L2</font></span>)</span></span><br/>





<a NAME="E1:48"/>
 <a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">L1</font> <a href="convex4.html#K9" title="CONVEX4:func.9">-</a> <font color="Maroon" title="c3">L2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Maroon" title="c2">L1</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <span class="p2">(<span class="default"><a href="convex4.html#K8" title="CONVEX4:func.8">-</a> <font color="Maroon" title="c3">L2</font></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="convex4.html#T19" target="_self" title="CONVEX4:th.19">Th19</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:48"/>
 <a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">L1</font> <a href="convex4.html#K9" title="CONVEX4:func.9">-</a> <font color="Maroon" title="c3">L2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Maroon" title="c2">L1</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="convex4.html#K1" title="CONVEX4:func.1">Carrier</a> <font color="Maroon" title="c3">L2</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="convex4.html#T24" target="_self" title="CONVEX4:th.24">Th24</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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