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<b>let </b><font color="Maroon" title="c1">IL</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <br/> for <font color="Olive" title="b2">S</font> being   <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<font color="Maroon" title="c1">IL</font><br/> for <font color="Olive" title="b3">I</font>, <font color="Olive" title="b4">J</font> being  <a href="ami_1.html#NM8" title="AMI_1:NM.8">FinPartState</a> of <font color="Olive" title="b2">S</font> holds   <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">I</font> <a href="ami_1.html#K18" title="AMI_1:func.18">+*</a> <font color="Olive" title="b4">J</font></span>)</span></span>)</span>,<font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b3">I</font></span>)</span>,<font color="Olive" title="b1">n</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b4">J</font></span>)</span>,<font color="Olive" title="b1">n</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c2">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">S</font> being   <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<font color="Maroon" title="c1">IL</font><br/> for <font color="Olive" title="b2">I</font>, <font color="Olive" title="b3">J</font> being  <a href="ami_1.html#NM8" title="AMI_1:NM.8">FinPartState</a> of <font color="Olive" title="b1">S</font> holds   <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">I</font> <a href="ami_1.html#K18" title="AMI_1:func.18">+*</a> <font color="Olive" title="b3">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b2">I</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b3">J</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c3">S</font> be    <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<font color="Maroon" title="c1">IL</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">I</font>, <font color="Olive" title="b2">J</font> being  <a href="ami_1.html#NM8" title="AMI_1:NM.8">FinPartState</a> of <font color="Maroon" title="c3">S</font> holds   <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">I</font> <a href="ami_1.html#K18" title="AMI_1:func.18">+*</a> <font color="Olive" title="b2">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b1">I</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Olive" title="b2">J</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c4">I</font>, <font color="Maroon" title="c5">J</font> be   <a href="ami_1.html#NM8" title="AMI_1:NM.8">FinPartState</a> of <font color="Maroon" title="c3">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">I</font> <a href="ami_1.html#K18" title="AMI_1:func.18">+*</a> <font color="Maroon" title="c5">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c4">I</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c5">J</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span></span><br/>







<b>thus </b> <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">I</font> <a href="ami_1.html#K18" title="AMI_1:func.18">+*</a> <font color="Maroon" title="c5">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">n</font> = 
 <a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="ami_1.html#K37" title="AMI_1:func.37">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c5">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">n</font>
<b>by </b><i><a class="ref" href="funct_4.html#T75" title="FUNCT_4:th.75">FUNCT_4:75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c4">I</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="valued_1.html#K61" title="VALUED_1:func.61">Shift</a> <span class="p2">(<span class="default"><a href="ami_1.html#K34" title="AMI_1:func.34">ProgramPart</a> <font color="Maroon" title="c5">J</font></span>)</span>,<font color="Maroon" title="c2">n</font></span>)</span>
<b>by </b><i><a class="ref" href="valued_1.html#T24" title="VALUED_1:th.24">VALUED_1:24</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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