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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be   <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V20" title="BCIALG_1:attr.20">alternative</a>  implies <font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V17" title="BCIALG_1:attr.17">implicative</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:131"/>
<font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V20" title="BCIALG_1:attr.20">alternative</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V17" title="BCIALG_1:attr.17">implicative</a> </span><br/>

<a NAME="E2:131"/><span class="kw">then </span>
for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">X</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b1">x</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">x</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <font color="Olive" title="b2">y</font></span>)</span></span>)</span> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">y</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <font color="Olive" title="b1">x</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">y</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <font color="Olive" title="b1">x</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_1.html#T76" target="_self" title="BCIALG_1:th.76">Th76</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:131"/>
<font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V17" title="BCIALG_1:attr.17">implicative</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_1.html#D24" target="_self" title="BCIALG_1:def.24">Def24</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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