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<b>consider </b><font color="Maroon" title="c5">I</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">A</font><b> such that </b><br/><a NAME="E2:29_1_1"/><i><font color="Green" title="E24">A1</font></i>: 
<font color="Maroon" title="c5">I</font> <a href="aofa_i00.html#R1" title="AOFA_I00:pred.1">is_assignment_wrt</a> <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c4">f</font>
 <b>by </b><i><a class="txt" href="aofa_i00.html#E1:29"><i><font color="Green" title="E23">A</font></i></a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">v</font> being   <a href="aofa_i00.html#NM4" title="AOFA_I00:NM.4">INT-Variable</a> of <font color="Maroon" title="c2">X</font>, <font color="Maroon" title="c7">t</font> being   <a href="aofa_i00.html#NM5" title="AOFA_I00:NM.5">INT-Expression</a> of <font color="Maroon" title="c2">X</font><b> such that </b><br/><a NAME="E4:29_1_1"/><i><font color="Green" title="E25">A2</font></i>: 
for <font color="Olive" title="b1">s</font> being   <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="fraenkel.html#K1" title="FRAENKEL:func.1">Funcs</a> <font color="Maroon" title="c2">X</font>,<a href="mesfunc1.html#K2" title="MESFUNC1:func.2">INT</a>  holds  <font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Olive" title="b1">s</font>,<font color="Maroon" title="c5">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="polynom1.html#K1" title="POLYNOM1:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">v</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span>
 <b>by </b><i><a class="txt" href="aofa_i00.html#E2:29_1_1"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="aofa_i00.html#D14" target="_self" title="AOFA_I00:def.14">IA</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c6">v</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">t</font> being  <a href="aofa_i00.html#NM5" title="AOFA_I00:NM.5">INT-Expression</a> of <font color="Maroon" title="c2">X</font> st <font color="Maroon" title="c6">v</font>,<font color="Olive" title="b1">t</font> <a href="aofa_i00.html#R2" title="AOFA_I00:pred.2">form_assignment_wrt</a> <font color="Maroon" title="c4">f</font></span><br/>

<b>take </b>
<font color="Maroon" title="c7">t</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c6">v</font>,<font color="Maroon" title="c7">t</font> <a href="aofa_i00.html#R2" title="AOFA_I00:pred.2">form_assignment_wrt</a> <font color="Maroon" title="c4">f</font></span><br/>

<b>take </b>
<font color="Maroon" title="c5">I</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="aofa_i00.html#D15" target="_self" title="AOFA_I00:def.15">AOFA_I00:def 15</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">I</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Maroon" title="c1">A</font> &amp; ( for <font color="Olive" title="b1">s</font> being   <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="fraenkel.html#K1" title="FRAENKEL:func.1">Funcs</a> <font color="Maroon" title="c2">X</font>,<a href="mesfunc1.html#K2" title="MESFUNC1:func.2">INT</a>  holds  <font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Olive" title="b1">s</font>,<font color="Maroon" title="c5">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="polynom1.html#K1" title="POLYNOM1:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">v</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span> ) )</span><br/>

<b>thus </b><a NAME="E5:29_1_1"/>
( <font color="Maroon" title="c5">I</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Maroon" title="c1">A</font> &amp; ( for <font color="Olive" title="b1">s</font> being   <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="fraenkel.html#K1" title="FRAENKEL:func.1">Funcs</a> <font color="Maroon" title="c2">X</font>,<a href="mesfunc1.html#K2" title="MESFUNC1:func.2">INT</a>  holds  <font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Olive" title="b1">s</font>,<font color="Maroon" title="c5">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="polynom1.html#K1" title="POLYNOM1:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">v</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">s</font></span>)</span> ) )
 <b>by </b><i><a class="txt" href="aofa_i00.html#E2:29_1_1"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="aofa_i00.html#D14" target="_self" title="AOFA_I00:def.14">IA</a>, <a class="txt" href="aofa_i00.html#E4:29_1_1"><i><font color="Green" title="E25">A2</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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