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<span class="kw">let </span><font color="Maroon" title="c2">C</font> be   <a href="abcmiz_1.html#V3" title="ABCMIZ_1:attr.3">initialized</a>  <a href="abcmiz_1.html#NM5" title="ABCMIZ_1:NM.5">ConstructorSignature</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">t1</font>, <font color="Olive" title="b2">t2</font> being  <a href="abcmiz_1.html#NM6" title="ABCMIZ_1:NM.6">expression</a> of <font color="Maroon" title="c2">C</font><br/> for <font color="Olive" title="b3">f</font> being  <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Maroon" title="c2">C</font>  st <font color="Olive" title="b3">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Olive" title="b1">t1</font>,<font color="Olive" title="b2">t2</font> holds <br/><font color="Olive" title="b3">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Olive" title="b2">t2</font>,<font color="Olive" title="b1">t1</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">t1</font>, <font color="Maroon" title="c4">t2</font> be   <a href="abcmiz_1.html#NM6" title="ABCMIZ_1:NM.6">expression</a> of <font color="Maroon" title="c2">C</font>; <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">f</font> being  <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Maroon" title="c2">C</font>  st <font color="Olive" title="b1">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Maroon" title="c3">t1</font>,<font color="Maroon" title="c4">t2</font> holds <br/><font color="Olive" title="b1">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Maroon" title="c4">t2</font>,<font color="Maroon" title="c3">t1</font></span><br/><span class="kw">let </span><font color="Maroon" title="c5">f</font> be   <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Maroon" title="c2">C</font>; <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="c5">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Maroon" title="c3">t1</font>,<font color="Maroon" title="c4">t2</font> implies <font color="Maroon" title="c5">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Maroon" title="c4">t2</font>,<font color="Maroon" title="c3">t1</font> )</span><br/>





<span class="kw">assume </span><a NAME="E1:95"/>
<font color="Maroon" title="c3">t1</font> <a href="abcmiz_1.html#K56" title="ABCMIZ_1:func.56">at</a> <font color="Maroon" title="c5">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">t2</font> <a href="abcmiz_1.html#K56" title="ABCMIZ_1:func.56">at</a> <font color="Maroon" title="c5">f</font>
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="abcmiz_a.html#D24" target="_self" title="ABCMIZ_A:def.24">ABCMIZ_A:def 24</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="c5">f</font> <a href="abcmiz_a.html#R4" title="ABCMIZ_A:pred.4">unifies</a> <font color="Maroon" title="c4">t2</font>,<font color="Maroon" title="c3">t1</font></span><br/>

<span class="kw">hence </span><a NAME="E2:95"/>
<font color="Maroon" title="c4">t2</font> <a href="abcmiz_1.html#K56" title="ABCMIZ_1:func.56">at</a> <font color="Maroon" title="c5">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">t1</font> <a href="abcmiz_1.html#K56" title="ABCMIZ_1:func.56">at</a> <font color="Maroon" title="c5">f</font>
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="abcmiz_a.html#D24" target="_self" title="ABCMIZ_A:def.24">ABCMIZ_A:def 24</a> <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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